Changeset 4786
- Timestamp:
- 2014-09-24T17:11:32+02:00 (10 years ago)
- File:
-
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
branches/2014/dev_CNRS1_10_TEOS10_Ediag/NEMOGCM/NEMO/OPA_SRC/TRA/eosbn2.F90
r4619 r4786 21 21 !! - ! 2012-05 (F. Roquet) add Vallis and original JM95 equation of state 22 22 !! - ! 2013-04 (F. Roquet, G. Madec) add eos_rab, change bn2 computation and reorganize the module 23 !! - ! 2014-0 2(F. Roquet) add TEOS-10, S-EOS, and modify EOS-8023 !! - ! 2014-09 (F. Roquet) add TEOS-10, S-EOS, and modify EOS-80 24 24 !!---------------------------------------------------------------------- 25 25 … … 80 80 REAL(wp) :: rn_nu = 2.4341e-3_wp ! cabbeling coeff. in theta*salt 81 81 82 ! TEOS10/EOS80 parameters 83 REAL(wp) :: r1_S0, r1_T0, r1_Z0, rdeltaS 84 82 85 ! EOS parameters 83 REAL(wp) :: EOS111 , EOS211 , EOS311 , EOS411 , EOS511 , EOS611 , EOS711 84 REAL(wp) :: EOS121 , EOS221 , EOS321 , EOS421 , EOS521 , EOS621 85 REAL(wp) :: EOS131 , EOS231 , EOS331 , EOS431 , EOS531 86 REAL(wp) :: EOS141 , EOS241 , EOS341 , EOS441 87 REAL(wp) :: EOS151 , EOS251 , EOS351 88 REAL(wp) :: EOS161 , EOS261 89 REAL(wp) :: EOS171 90 REAL(wp) :: EOS112 , EOS212 , EOS312 , EOS412 , EOS512 91 REAL(wp) :: EOS122 , EOS222 , EOS322 , EOS422 92 REAL(wp) :: EOS132 , EOS232 , EOS332 93 REAL(wp) :: EOS142 , EOS242 94 REAL(wp) :: EOS152 95 REAL(wp) :: EOS113 , EOS213 , EOS313 96 REAL(wp) :: EOS123 , EOS223 97 REAL(wp) :: EOS133 86 REAL(wp) :: EOS000 , EOS100 , EOS200 , EOS300 , EOS400 , EOS500 , EOS600 87 REAL(wp) :: EOS010 , EOS110 , EOS210 , EOS310 , EOS410 , EOS510 88 REAL(wp) :: EOS020 , EOS120 , EOS220 , EOS320 , EOS420 89 REAL(wp) :: EOS030 , EOS130 , EOS230 , EOS330 90 REAL(wp) :: EOS040 , EOS140 , EOS240 91 REAL(wp) :: EOS050 , EOS150 92 REAL(wp) :: EOS060 93 REAL(wp) :: EOS001 , EOS101 , EOS201 , EOS301 , EOS401 94 REAL(wp) :: EOS011 , EOS111 , EOS211 , EOS311 95 REAL(wp) :: EOS021 , EOS121 , EOS221 96 REAL(wp) :: EOS031 , EOS131 97 REAL(wp) :: EOS041 98 REAL(wp) :: EOS002 , EOS102 , EOS202 99 REAL(wp) :: EOS012 , EOS112 100 REAL(wp) :: EOS022 101 REAL(wp) :: EOS003 , EOS103 102 REAL(wp) :: EOS013 98 103 99 104 ! ALPHA parameters 100 REAL(wp) :: ALP111 , ALP211 , ALP311 , ALP411 , ALP511 , ALP611 101 REAL(wp) :: ALP121 , ALP221 , ALP321 , ALP421 , ALP521 102 REAL(wp) :: ALP131 , ALP231 , ALP331 , ALP431 103 REAL(wp) :: ALP141 , ALP241 , ALP341 104 REAL(wp) :: ALP151 , ALP251 105 REAL(wp) :: ALP161 106 REAL(wp) :: ALP112 , ALP212 , ALP312 , ALP412 107 REAL(wp) :: ALP122 , ALP222 , ALP322 108 REAL(wp) :: ALP132 , ALP232 109 REAL(wp) :: ALP142 110 REAL(wp) :: ALP113 , ALP213 111 REAL(wp) :: ALP123 105 REAL(wp) :: ALP000 , ALP100 , ALP200 , ALP300 , ALP400 , ALP500 106 REAL(wp) :: ALP010 , ALP110 , ALP210 , ALP310 , ALP410 107 REAL(wp) :: ALP020 , ALP120 , ALP220 , ALP320 108 REAL(wp) :: ALP030 , ALP130 , ALP230 109 REAL(wp) :: ALP040 , ALP140 110 REAL(wp) :: ALP050 111 REAL(wp) :: ALP001 , ALP101 , ALP201 , ALP301 112 REAL(wp) :: ALP011 , ALP111 , ALP211 113 REAL(wp) :: ALP021 , ALP121 114 REAL(wp) :: ALP031 115 REAL(wp) :: ALP002 , ALP102 116 REAL(wp) :: ALP012 117 REAL(wp) :: ALP003 112 118 113 119 ! BETA parameters 114 REAL(wp) :: BET111 , BET211 , BET311 , BET411 , BET511 , BET611 115 REAL(wp) :: BET121 , BET221 , BET321 , BET421 , BET521 116 REAL(wp) :: BET131 , BET231 , BET331 , BET431 117 REAL(wp) :: BET141 , BET241 , BET341 118 REAL(wp) :: BET151 , BET251 119 REAL(wp) :: BET161 120 REAL(wp) :: BET112 , BET212 , BET312 , BET412 121 REAL(wp) :: BET122 , BET222 , BET322 122 REAL(wp) :: BET132 , BET232 123 REAL(wp) :: BET142 124 REAL(wp) :: BET113 , BET213 125 REAL(wp) :: BET123 120 REAL(wp) :: BET000 , BET100 , BET200 , BET300 , BET400 , BET500 121 REAL(wp) :: BET010 , BET110 , BET210 , BET310 , BET410 122 REAL(wp) :: BET020 , BET120 , BET220 , BET320 123 REAL(wp) :: BET030 , BET130 , BET230 124 REAL(wp) :: BET040 , BET140 125 REAL(wp) :: BET050 126 REAL(wp) :: BET001 , BET101 , BET201 , BET301 127 REAL(wp) :: BET011 , BET111 , BET211 128 REAL(wp) :: BET021 , BET121 129 REAL(wp) :: BET031 130 REAL(wp) :: BET002 , BET102 131 REAL(wp) :: BET012 132 REAL(wp) :: BET003 126 133 127 134 ! PEN parameters 128 REAL(wp) :: PEN112 , PEN212 , PEN312 , PEN412 , PEN512 129 REAL(wp) :: PEN122 , PEN222 , PEN322 , PEN422 130 REAL(wp) :: PEN132 , PEN232 , PEN332 131 REAL(wp) :: PEN142 , PEN242 132 REAL(wp) :: PEN152 133 REAL(wp) :: PEN113 , PEN213 , PEN313 134 REAL(wp) :: PEN123 , PEN223 135 REAL(wp) :: PEN133 135 REAL(wp) :: PEN000 , PEN100 , PEN200 , PEN300 , PEN400 136 REAL(wp) :: PEN010 , PEN110 , PEN210 , PEN310 137 REAL(wp) :: PEN020 , PEN120 , PEN220 138 REAL(wp) :: PEN030 , PEN130 139 REAL(wp) :: PEN040 140 REAL(wp) :: PEN001 , PEN101 , PEN201 141 REAL(wp) :: PEN011 , PEN111 142 REAL(wp) :: PEN021 143 REAL(wp) :: PEN002 , PEN102 144 REAL(wp) :: PEN012 136 145 137 146 ! ALPHA_PEN parameters 138 REAL(wp) :: APE112 , APE212 , APE312 , APE412 139 REAL(wp) :: APE122 , APE222 , APE322 140 REAL(wp) :: APE132 , APE232 141 REAL(wp) :: APE142 142 REAL(wp) :: APE113 , APE213 143 REAL(wp) :: APE123 147 REAL(wp) :: APE000 , APE100 , APE200 , APE300 148 REAL(wp) :: APE010 , APE110 , APE210 149 REAL(wp) :: APE020 , APE120 150 REAL(wp) :: APE030 151 REAL(wp) :: APE001 , APE101 152 REAL(wp) :: APE011 153 REAL(wp) :: APE002 144 154 145 155 ! BETA_PEN parameters 146 REAL(wp) :: BPE112 , BPE212 , BPE312 , BPE412 147 REAL(wp) :: BPE122 , BPE222 , BPE322 148 REAL(wp) :: BPE132 , BPE232 149 REAL(wp) :: BPE142 150 REAL(wp) :: BPE113 , BPE213 151 REAL(wp) :: BPE123 156 REAL(wp) :: BPE000 , BPE100 , BPE200 , BPE300 157 REAL(wp) :: BPE010 , BPE110 , BPE210 158 REAL(wp) :: BPE020 , BPE120 159 REAL(wp) :: BPE030 160 REAL(wp) :: BPE001 , BPE101 161 REAL(wp) :: BPE011 162 REAL(wp) :: BPE002 152 163 153 164 !! * Substitutions … … 170 181 !! 171 182 !! ** Method : prd(t,s,z) = ( rho(t,s,z) - rau0 ) / rau0 172 !! with prd in situ density anomal ieno units173 !! t potential temperatureCelsius174 !! s salinitypsu183 !! with prd in situ density anomaly no units 184 !! t TEOS10: CT or EOS80: PT Celsius 185 !! s TEOS10: SA or EOS80: SP TEOS10: g/kg or EOS80: psu 175 186 !! z depth meters 176 187 !! rho in situ density kg/m^3 … … 178 189 !! 179 190 !! nn_eos = -1 : polynomial TEOS-10 equation of state is used for rho(t,s,z). 180 !! Check value: rho = 1028.21583 kg/m^3 for p=3000 dbar, t=3 Celcius, s=35.5 psu 181 !! 182 !! nn_eos = 0 : Jackett and McDougall (1995) equation of state is used for rho(t,s,z) 183 !! where the density anomaly of a water parcel at t=4, s=35 moved adiabatically to surface 184 !! has been removed: rho = rho_JM95 - ( rho_JM95(4,35,z) - rho_JM95(4,35,0) ) 185 !! Check value: rho = 1028.34976 kg/m^3 for p=3000 dbar, t=3 Celcius, s=35.5 psu 186 !! Check value: rho_JM95 = 1041.83267 kg/m^3 for p=3000 dbar, t=3 Celcius, s=35.5 psu 191 !! Check value: rho = 1028.21993233072 kg/m^3 for z=3000 dbar, ct=3 Celcius, sa=35.5 g/kg 192 !! 193 !! nn_eos = 0 : polynomial EOS-80 equation of state is used for rho(t,s,z). 194 !! Check value: rho = 1028.35011066567 kg/m^3 for z=3000 dbar, pt=3 Celcius, sp=35.5 psu 187 195 !! 188 196 !! nn_eos = 1 : simplified equation of state … … 194 202 !! ** Action : compute prd , the in situ density (no units) 195 203 !! 196 !! References : Jackett and McDougall, J. Atmos. Ocean. Tech., 1995204 !! References : Roquet et al, Ocean Modelling, in preparation (2014) 197 205 !! Vallis, Atmospheric and Oceanic Fluid Dynamics, 2006 198 206 !! TEOS-10 Manual, 2010 199 !! Roquet, Ocean Modelling, in preparation (2013)200 207 !!---------------------------------------------------------------------- 201 208 REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in ) :: pts ! 1 : potential temperature [Celcius] … … 205 212 ! 206 213 INTEGER :: ji, jj, jk ! dummy loop indices 207 REAL(wp) :: zt , zh , zs , z sr, ztm! local scalars208 REAL(wp) :: zn , zn0, zn1, zn2 209 !!---------------------------------------------------------------------- 210 ! 211 IF( nn_timing == 1 ) CALL timing_start('eos ')214 REAL(wp) :: zt , zh , zs , ztm ! local scalars 215 REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - 216 !!---------------------------------------------------------------------- 217 ! 218 IF( nn_timing == 1 ) CALL timing_start('eos-insitu') 212 219 ! 213 220 SELECT CASE( nn_eos ) … … 219 226 DO ji = 1, jpi 220 227 ! 221 zh = pdep(ji,jj,jk) ! depth 222 zt = pts (ji,jj,jk,jp_tem) ! temperature 223 zsr = SQRT( MAX( pts(ji,jj,jk,jp_sal) , 0.1_wp ) ) ! square root salinity 224 ztm = tmask(ji,jj,jk) ! tmask 225 ! 226 zn2 = ( EOS133*zsr + EOS223*zt + EOS123 )*zsr + ( EOS313*zt + EOS213 )*zt + EOS113 227 ! 228 zn1 = ( ( ( EOS152*zsr & 229 & + EOS242*zt + EOS142 )*zsr & 230 & + ( EOS332*zt + EOS232 )*zt + EOS132 )*zsr & 231 & + ( ( EOS422*zt + EOS322 )*zt + EOS222 )*zt + EOS122 )*zsr & 232 & + ( ( ( EOS512*zt + EOS412 )*zt + EOS312 )*zt + EOS212 )*zt + EOS112 233 ! 234 zn0 = ( ( ( ( ( EOS171*zsr & 235 & + EOS261*zt + EOS161 )*zsr & 236 & + ( EOS351*zt + EOS251 )*zt + EOS151 )*zsr & 237 & + ( ( EOS441*zt + EOS341 )*zt + EOS241 )*zt + EOS141 )*zsr & 238 & + ( ( ( EOS531*zt + EOS431 )*zt + EOS331 )*zt + EOS231 )*zt + EOS131 )*zsr & 239 & + ( ( ( ( EOS621*zt + EOS521 )*zt + EOS421 )*zt + EOS321 )*zt + EOS221 )*zt + EOS121 )*zsr & 240 & + ( ( ( ( ( EOS711*zt + EOS611 )*zt + EOS511 )*zt + EOS411 )*zt + EOS311 )*zt + EOS211 )*zt + EOS111 241 ! 242 zn = ( zn2 * zh + zn1 ) * zh + zn0 243 ! 228 zh = pdep(ji,jj,jk) * r1_Z0 ! depth 229 zt = pts (ji,jj,jk,jp_tem) * r1_T0 ! temperature 230 zs = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity 231 ztm = tmask(ji,jj,jk) ! tmask 232 ! 233 zn3 = EOS013*zt & 234 & + EOS103*zs+EOS003 235 ! 236 zn2 = (EOS022*zt & 237 & + EOS112*zs+EOS012)*zt & 238 & + (EOS202*zs+EOS102)*zs+EOS002 239 ! 240 zn1 = (((EOS041*zt & 241 & + EOS131*zs+EOS031)*zt & 242 & + (EOS221*zs+EOS121)*zs+EOS021)*zt & 243 & + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt & 244 & + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001 245 ! 246 zn0 = (((((EOS060*zt & 247 & + EOS150*zs+EOS050)*zt & 248 & + (EOS240*zs+EOS140)*zs+EOS040)*zt & 249 & + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt & 250 & + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt & 251 & + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt & 252 & + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000 253 ! 254 zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 255 ! 244 256 prd(ji,jj,jk) = ( zn * r1_rau0 - 1._wp ) * ztm ! density anomaly (masked) 257 ! 245 258 END DO 246 259 END DO … … 268 281 END SELECT 269 282 ! 270 IF(ln_ctl) CALL prt_ctl( tab3d_1=prd, clinfo1=' eos : ', ovlap=1, kdim=jpk )271 ! 272 IF( nn_timing == 1 ) CALL timing_stop('eos ')283 IF(ln_ctl) CALL prt_ctl( tab3d_1=prd, clinfo1=' eos-insitu : ', ovlap=1, kdim=jpk ) 284 ! 285 IF( nn_timing == 1 ) CALL timing_stop('eos-insitu') 273 286 ! 274 287 END SUBROUTINE eos_insitu … … 295 308 ! 296 309 INTEGER :: ji, jj, jk ! dummy loop indices 297 REAL(wp) :: zt , zh , zs , z sr, ztm! local scalars298 REAL(wp) :: zn , zn0, zn1, zn2 299 !!---------------------------------------------------------------------- 300 ! 301 IF( nn_timing == 1 ) CALL timing_start('eos-p ')310 REAL(wp) :: zt , zh , zs , ztm ! local scalars 311 REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - 312 !!---------------------------------------------------------------------- 313 ! 314 IF( nn_timing == 1 ) CALL timing_start('eos-pot') 302 315 ! 303 316 SELECT CASE ( nn_eos ) … … 309 322 DO ji = 1, jpi 310 323 ! 311 zh = pdep (ji,jj,jk) ! depth 312 zt = pts (ji,jj,jk,jp_tem) ! conservative temperature 313 zsr = SQRT( MAX( pts(ji,jj,jk,jp_sal) , 0.1_wp ) ) ! square root salinity 314 ztm = tmask(ji,jj,jk) ! tmask 315 ! 316 zn2 = ( EOS133*zsr + EOS223*zt + EOS123 )*zsr + ( EOS313*zt + EOS213 )*zt + EOS113 317 ! 318 zn1 = ( ( ( EOS152*zsr & 319 & + EOS242*zt + EOS142 )*zsr & 320 & + ( EOS332*zt + EOS232 )*zt + EOS132 )*zsr & 321 & + ( ( EOS422*zt + EOS322 )*zt + EOS222 )*zt + EOS122 )*zsr & 322 & + ( ( ( EOS512*zt + EOS412 )*zt + EOS312 )*zt + EOS212 )*zt + EOS112 323 ! 324 zn0 = ( ( ( ( ( EOS171*zsr & 325 & + EOS261*zt + EOS161 )*zsr & 326 & + ( EOS351*zt + EOS251 )*zt + EOS151 )*zsr & 327 & + ( ( EOS441*zt + EOS341 )*zt + EOS241 )*zt + EOS141 )*zsr & 328 & + ( ( ( EOS531*zt + EOS431 )*zt + EOS331 )*zt + EOS231 )*zt + EOS131 )*zsr & 329 & + ( ( ( ( EOS621*zt + EOS521 )*zt + EOS421 )*zt + EOS321 )*zt + EOS221 )*zt + EOS121 )*zsr & 330 & + ( ( ( ( ( EOS711*zt + EOS611 )*zt + EOS511 )*zt + EOS411 )*zt + EOS311 )*zt + EOS211 )*zt + EOS111 331 ! 332 zn = ( zn2 * zh + zn1 ) * zh + zn0 324 zh = pdep(ji,jj,jk) * r1_Z0 ! depth 325 zt = pts (ji,jj,jk,jp_tem) * r1_T0 ! temperature 326 zs = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity 327 ztm = tmask(ji,jj,jk) ! tmask 328 ! 329 zn3 = EOS013*zt & 330 & + EOS103*zs+EOS003 331 ! 332 zn2 = (EOS022*zt & 333 & + EOS112*zs+EOS012)*zt & 334 & + (EOS202*zs+EOS102)*zs+EOS002 335 ! 336 zn1 = (((EOS041*zt & 337 & + EOS131*zs+EOS031)*zt & 338 & + (EOS221*zs+EOS121)*zs+EOS021)*zt & 339 & + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt & 340 & + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001 341 ! 342 zn0 = (((((EOS060*zt & 343 & + EOS150*zs+EOS050)*zt & 344 & + (EOS240*zs+EOS140)*zs+EOS040)*zt & 345 & + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt & 346 & + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt & 347 & + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt & 348 & + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000 349 ! 350 zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 333 351 ! 334 352 prhop(ji,jj,jk) = zn0 * ztm ! potential density referenced at the surface … … 363 381 END SELECT 364 382 ! 365 IF(ln_ctl) CALL prt_ctl( tab3d_1=prd, clinfo1=' eos-p : ', tab3d_2=prhop, clinfo2=' pot : ', ovlap=1, kdim=jpk )366 ! 367 IF( nn_timing == 1 ) CALL timing_stop('eos-p ')383 IF(ln_ctl) CALL prt_ctl( tab3d_1=prd, clinfo1=' eos-pot: ', tab3d_2=prhop, clinfo2=' pot : ', ovlap=1, kdim=jpk ) 384 ! 385 IF( nn_timing == 1 ) CALL timing_stop('eos-pot') 368 386 ! 369 387 END SUBROUTINE eos_insitu_pot … … 387 405 ! 388 406 INTEGER :: ji, jj, jk ! dummy loop indices 389 REAL(wp) :: zt , zh , zs , zsr, ztm! local scalars390 REAL(wp) :: zn , zn0, zn1, zn2 407 REAL(wp) :: zt , zh , zs ! local scalars 408 REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - 391 409 !!---------------------------------------------------------------------- 392 410 ! … … 402 420 DO ji = 1, fs_jpim1 ! vector opt. 403 421 ! 404 zt = pts (ji,jj,jp_tem) ! interpolated T 405 zsr = SQRT( MAX( pts(ji,jj,jp_sal) , 0.1_wp ) ) ! square root salinity 406 zh = pdep (ji,jj) ! depth at the partial step level 407 ! 408 ! 409 zn2 = ( EOS133*zsr + EOS223*zt + EOS123 )*zsr + ( EOS313*zt + EOS213 )*zt + EOS113 410 ! 411 zn1 = ( ( ( EOS152*zsr & 412 & + EOS242*zt + EOS142 )*zsr & 413 & + ( EOS332*zt + EOS232 )*zt + EOS132 )*zsr & 414 & + ( ( EOS422*zt + EOS322 )*zt + EOS222 )*zt + EOS122 )*zsr & 415 & + ( ( ( EOS512*zt + EOS412 )*zt + EOS312 )*zt + EOS212 )*zt + EOS112 416 ! 417 zn0 = ( ( ( ( ( EOS171*zsr & 418 & + EOS261*zt + EOS161 )*zsr & 419 & + ( EOS351*zt + EOS251 )*zt + EOS151 )*zsr & 420 & + ( ( EOS441*zt + EOS341 )*zt + EOS241 )*zt + EOS141 )*zsr & 421 & + ( ( ( EOS531*zt + EOS431 )*zt + EOS331 )*zt + EOS231 )*zt + EOS131 )*zsr & 422 & + ( ( ( ( EOS621*zt + EOS521 )*zt + EOS421 )*zt + EOS321 )*zt + EOS221 )*zt + EOS121 )*zsr & 423 & + ( ( ( ( ( EOS711*zt + EOS611 )*zt + EOS511 )*zt + EOS411 )*zt + EOS311 )*zt + EOS211 )*zt + EOS111 424 ! 425 zn = ( zn2 * zh + zn1 ) * zh + zn0 422 zh = pdep(ji,jj) * r1_Z0 ! depth 423 zt = pts (ji,jj,jp_tem) * r1_T0 ! temperature 424 zs = SQRT( ABS( pts(ji,jj,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity 425 ! 426 zn3 = EOS013*zt & 427 & + EOS103*zs+EOS003 428 ! 429 zn2 = (EOS022*zt & 430 & + EOS112*zs+EOS012)*zt & 431 & + (EOS202*zs+EOS102)*zs+EOS002 432 ! 433 zn1 = (((EOS041*zt & 434 & + EOS131*zs+EOS031)*zt & 435 & + (EOS221*zs+EOS121)*zs+EOS021)*zt & 436 & + ((EOS311*zs+EOS211)*zs+EOS111)*zs+EOS011)*zt & 437 & + (((EOS401*zs+EOS301)*zs+EOS201)*zs+EOS101)*zs+EOS001 438 ! 439 zn0 = (((((EOS060*zt & 440 & + EOS150*zs+EOS050)*zt & 441 & + (EOS240*zs+EOS140)*zs+EOS040)*zt & 442 & + ((EOS330*zs+EOS230)*zs+EOS130)*zs+EOS030)*zt & 443 & + (((EOS420*zs+EOS320)*zs+EOS220)*zs+EOS120)*zs+EOS020)*zt & 444 & + ((((EOS510*zs+EOS410)*zs+EOS310)*zs+EOS210)*zs+EOS110)*zs+EOS010)*zt & 445 & + (((((EOS600*zs+EOS500)*zs+EOS400)*zs+EOS300)*zs+EOS200)*zs+EOS100)*zs+EOS000 446 ! 447 zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 426 448 ! 427 449 prd(ji,jj) = zn * r1_rau0 - 1._wp ! unmasked in situ density anomaly … … 464 486 !! 465 487 !! ** Method : calculates alpha / beta at T-points 466 !! * nn_eos = 0 : polynomial approximation of McDougall (1987)467 !! The alpha/beta is returned as 4-D array pab using the exact expression468 !! based on the JM95 equation of state.469 !! * nn_eos = 1 : linear equation of state (temperature only)470 !! We return alpha and beta=0471 !! * nn_eos = 2 : linear equation of state (temperature & salinity)472 !! We return alpha0 and beta0473 488 !! 474 489 !! ** Action : - pab : thermal/haline expansion ratio at T-points … … 478 493 ! 479 494 INTEGER :: ji, jj, jk ! dummy loop indices 480 REAL(wp) :: zt , zh , zs , z sr, ztm! local scalars481 REAL(wp) :: zn , zn0, zn1, zn2 495 REAL(wp) :: zt , zh , zs , ztm ! local scalars 496 REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - 482 497 !!---------------------------------------------------------------------- 483 498 ! … … 492 507 DO ji = 1, jpi 493 508 ! 494 zh = fsdept(ji,jj,jk) ! depth 495 zt = pts (ji,jj,jk,jp_tem) ! conservative temperature 496 zsr = SQRT( MAX( pts(ji,jj,jk,jp_sal) , 0.1_wp ) ) ! square root salinity 497 ztm = tmask(ji,jj,jk) ! tmask 498 ! 499 zn2 = ALP123*zsr + ALP213*zt + ALP113 500 ! 501 zn1 = ( ( ALP142*zsr & 502 & + ALP232*zt + ALP132 )*zsr & 503 & + ( ALP322*zt + ALP222 )*zt + ALP122 )*zsr & 504 & + ( ( ALP412*zt + ALP312 )*zt + ALP212 )*zt + ALP112 505 ! 506 zn0 = ( ( ( ( ALP161*zsr & 507 & + ALP251*zt + ALP151 )*zsr & 508 & + ( ALP341*zt + ALP241 )*zt + ALP141 )*zsr & 509 & + ( ( ALP431*zt + ALP331 )*zt + ALP231 )*zt + ALP131 )*zsr & 510 & + ( ( ( ALP521*zt + ALP421 )*zt + ALP321 )*zt + ALP221 )*zt + ALP121 )*zsr & 511 & + ( ( ( ( ALP611*zt + ALP511 )*zt + ALP411 )*zt + ALP311 )*zt + ALP211 )*zt + ALP111 512 ! 513 zn = ( zn2 * zh + zn1 ) * zh + zn0 509 zh = fsdept(ji,jj,jk) * r1_Z0 ! depth 510 zt = pts (ji,jj,jk,jp_tem) * r1_T0 ! temperature 511 zs = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity 512 ztm = tmask(ji,jj,jk) ! tmask 513 ! 514 ! alpha 515 zn3 = ALP003 516 ! 517 zn2 = (ALP012)*zt & 518 & + ALP102*zs+ALP002 519 ! 520 zn1 = (((ALP031)*zt & 521 & + ALP121*zs+ALP021)*zt & 522 & + (ALP211*zs+ALP111)*zs+ALP011)*zt & 523 & + ((ALP301*zs+ALP201)*zs+ALP101)*zs+ALP001 524 ! 525 zn0 = (((((ALP050)*zt & 526 & + ALP140*zs+ALP040)*zt & 527 & + (ALP230*zs+ALP130)*zs+ALP030)*zt & 528 & + ((ALP320*zs+ALP220)*zs+ALP120)*zs+ALP020)*zt & 529 & + (((ALP410*zs+ALP310)*zs+ALP210)*zs+ALP110)*zs+ALP010)*zt & 530 & + ((((ALP500*zs+ALP400)*zs+ALP300)*zs+ALP200)*zs+ALP100)*zs+ALP000 531 ! 532 zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 514 533 ! 515 534 pab(ji,jj,jk,jp_tem) = zn * r1_rau0 * ztm 516 535 ! 517 ! 518 zn2 = BET123*zsr + BET213*zt + BET113 519 ! 520 zn1 = ( ( BET142*zsr & 521 & + BET232*zt + BET132 )*zsr & 522 & + ( BET322*zt + BET222 )*zt + BET122 )*zsr & 523 & + ( ( BET412*zt + BET312 )*zt + BET212 )*zt + BET112 524 ! 525 zn0 = ( ( ( ( BET161*zsr & 526 & + BET251*zt + BET151 )*zsr & 527 & + ( BET341*zt + BET241 )*zt + BET141 )*zsr & 528 & + ( ( BET431*zt + BET331 )*zt + BET231 )*zt + BET131 )*zsr & 529 & + ( ( ( BET521*zt + BET421 )*zt + BET321 )*zt + BET221 )*zt + BET121 )*zsr & 530 & + ( ( ( ( BET611*zt + BET511 )*zt + BET411 )*zt + BET311 )*zt + BET211 )*zt + BET111 531 ! 532 zn = ( zn2 * zh + zn1 ) * zh + zn0 533 ! 534 pab(ji,jj,jk,jp_sal) = zn / zsr * r1_rau0 * ztm 536 ! beta 537 zn3 = BET003 538 ! 539 zn2 = (BET012)*zt & 540 & + BET102*zs+BET002 541 ! 542 zn1 = (((BET031)*zt & 543 & + BET121*zs+BET021)*zt & 544 & + (BET211*zs+BET111)*zs+BET011)*zt & 545 & + ((BET301*zs+BET201)*zs+BET101)*zs+BET001 546 ! 547 zn0 = (((((BET050)*zt & 548 & + BET140*zs+BET040)*zt & 549 & + (BET230*zs+BET130)*zs+BET030)*zt & 550 & + ((BET320*zs+BET220)*zs+BET120)*zs+BET020)*zt & 551 & + (((BET410*zs+BET310)*zs+BET210)*zs+BET110)*zs+BET010)*zt & 552 & + ((((BET500*zs+BET400)*zs+BET300)*zs+BET200)*zs+BET100)*zs+BET000 553 ! 554 zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 555 ! 556 pab(ji,jj,jk,jp_sal) = zn / zs * r1_rau0 * ztm 535 557 ! 536 558 END DO … … 547 569 zh = fsdept(ji,jj,jk) ! depth in meters at t-point 548 570 ztm = tmask(ji,jj,jk) ! land/sea bottom mask = surf. mask 549 ! ! alpha 550 pab(ji,jj,jk,jp_tem) = ( rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs ) * r1_rau0 * ztm ! alpha 551 pab(ji,jj,jk,jp_sal) = ( rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt ) * r1_rau0 * ztm ! beta ! beta 571 ! 572 zn = rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs 573 pab(ji,jj,jk,jp_tem) = zn * r1_rau0 * ztm ! alpha 574 ! 575 zn = rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt 576 pab(ji,jj,jk,jp_sal) = zn * r1_rau0 * ztm ! beta 577 ! 552 578 END DO 553 579 END DO … … 579 605 ! 580 606 INTEGER :: ji, jj, jk ! dummy loop indices 581 REAL(wp) :: zt , zh , zs , zsr, ztm! local scalars582 REAL(wp) :: zn , zn0, zn1, zn2 607 REAL(wp) :: zt , zh , zs ! local scalars 608 REAL(wp) :: zn , zn0, zn1, zn2, zn3 ! - - 583 609 !!---------------------------------------------------------------------- 584 610 ! … … 594 620 DO ji = 1, fs_jpim1 ! vector opt. 595 621 ! 596 zt = pts (ji,jj,jp_tem) ! interpolated T 597 zsr = SQRT( MAX( pts(ji,jj,jp_sal) , 0.1_wp ) ) ! square root salinity 598 zh = pdep (ji,jj) ! depth at the partial step level 599 ! 600 ! 601 zn2 = ALP123*zsr + ALP213*zt + ALP113 602 ! 603 zn1 = ( ( ALP142*zsr & 604 & + ALP232*zt + ALP132 )*zsr & 605 & + ( ALP322*zt + ALP222 )*zt + ALP122 )*zsr & 606 & + ( ( ALP412*zt + ALP312 )*zt + ALP212 )*zt + ALP112 607 ! 608 zn0 = ( ( ( ( ALP161*zsr & 609 & + ALP251*zt + ALP151 )*zsr & 610 & + ( ALP341*zt + ALP241 )*zt + ALP141 )*zsr & 611 & + ( ( ALP431*zt + ALP331 )*zt + ALP231 )*zt + ALP131 )*zsr & 612 & + ( ( ( ALP521*zt + ALP421 )*zt + ALP321 )*zt + ALP221 )*zt + ALP121 )*zsr & 613 & + ( ( ( ( ALP611*zt + ALP511 )*zt + ALP411 )*zt + ALP311 )*zt + ALP211 )*zt + ALP111 614 ! 615 zn = ( zn2 * zh + zn1 ) * zh + zn0 622 zh = pdep(ji,jj) * r1_Z0 ! depth 623 zt = pts (ji,jj,jp_tem) * r1_T0 ! temperature 624 zs = SQRT( ABS( pts(ji,jj,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity 625 ! 626 ! alpha 627 zn3 = ALP003 628 ! 629 zn2 = (ALP012)*zt & 630 & + ALP102*zs+ALP002 631 ! 632 zn1 = (((ALP031)*zt & 633 & + ALP121*zs+ALP021)*zt & 634 & + (ALP211*zs+ALP111)*zs+ALP011)*zt & 635 & + ((ALP301*zs+ALP201)*zs+ALP101)*zs+ALP001 636 ! 637 zn0 = (((((ALP050)*zt & 638 & + ALP140*zs+ALP040)*zt & 639 & + (ALP230*zs+ALP130)*zs+ALP030)*zt & 640 & + ((ALP320*zs+ALP220)*zs+ALP120)*zs+ALP020)*zt & 641 & + (((ALP410*zs+ALP310)*zs+ALP210)*zs+ALP110)*zs+ALP010)*zt & 642 & + ((((ALP500*zs+ALP400)*zs+ALP300)*zs+ALP200)*zs+ALP100)*zs+ALP000 643 ! 644 zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 616 645 ! 617 646 pab(ji,jj,jp_tem) = zn * r1_rau0 618 647 ! 619 ! 620 zn2 = BET123*zsr + BET213*zt + BET113 621 ! 622 zn1 = ( ( BET142*zsr & 623 & + BET232*zt + BET132 )*zsr & 624 & + ( BET322*zt + BET222 )*zt + BET122 )*zsr & 625 & + ( ( BET412*zt + BET312 )*zt + BET212 )*zt + BET112 626 ! 627 zn0 = ( ( ( ( BET161*zsr & 628 & + BET251*zt + BET151 )*zsr & 629 & + ( BET341*zt + BET241 )*zt + BET141 )*zsr & 630 & + ( ( BET431*zt + BET331 )*zt + BET231 )*zt + BET131 )*zsr & 631 & + ( ( ( BET521*zt + BET421 )*zt + BET321 )*zt + BET221 )*zt + BET121 )*zsr & 632 & + ( ( ( ( BET611*zt + BET511 )*zt + BET411 )*zt + BET311 )*zt + BET211 )*zt + BET111 633 ! 634 zn = ( zn2 * zh + zn1 ) * zh + zn0 635 ! 636 pab(ji,jj,jp_sal) = zn / zsr * r1_rau0 648 ! beta 649 zn3 = BET003 650 ! 651 zn2 = (BET012)*zt & 652 & + BET102*zs+BET002 653 ! 654 zn1 = (((BET031)*zt & 655 & + BET121*zs+BET021)*zt & 656 & + (BET211*zs+BET111)*zs+BET011)*zt & 657 & + ((BET301*zs+BET201)*zs+BET101)*zs+BET001 658 ! 659 zn0 = (((((BET050)*zt & 660 & + BET140*zs+BET040)*zt & 661 & + (BET230*zs+BET130)*zs+BET030)*zt & 662 & + ((BET320*zs+BET220)*zs+BET120)*zs+BET020)*zt & 663 & + (((BET410*zs+BET310)*zs+BET210)*zs+BET110)*zs+BET010)*zt & 664 & + ((((BET500*zs+BET400)*zs+BET300)*zs+BET200)*zs+BET100)*zs+BET000 665 ! 666 zn = ( ( zn3 * zh + zn2 ) * zh + zn1 ) * zh + zn0 667 ! 668 pab(ji,jj,jp_sal) = zn / zs * r1_rau0 637 669 ! 638 670 ! … … 649 681 zh = pdep (ji,jj) ! depth at the partial step level 650 682 ! 651 ! ! alpha 652 pab(ji,jj,jp_tem) = ( rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs ) * r1_rau0 ! alpha 653 pab(ji,jj,jp_sal) = ( rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt ) * r1_rau0 ! beta ! beta 683 zn = rn_a0 * ( 1._wp + rn_lambda1*zt + rn_mu1*zh ) + rn_nu*zs 684 pab(ji,jj,jp_tem) = zn * r1_rau0 ! alpha 685 ! 686 zn = rn_b0 * ( 1._wp - rn_lambda2*zs - rn_mu2*zh ) - rn_nu*zt 687 pab(ji,jj,jp_sal) = zn * r1_rau0 ! beta 654 688 ! 655 689 END DO … … 681 715 !! ** Action : pn2 : square of the brunt-vaisala frequency at w-point 682 716 !! 683 !! References : Vallis, Atmospheric and Oceanic Fluid Dynamics, 2006684 !! Jackett and McDougall, J. Atmos. Ocean. Tech., 1995685 !! McDougall, J. Phys. Oceano., 1987686 717 !!---------------------------------------------------------------------- 687 718 REAL(wp), DIMENSION(jpi,jpj,jpk,jpts), INTENT(in ) :: pts ! pot. temperature and salinity [Celcius,psu] … … 725 756 !! 726 757 !! ** Method : rational approximation (5/3th order) of TEOS-10 algorithm 727 !! checkvalue: pt=20.02391 65517474 Celsius for s=35.7psu,t=20degC758 !! checkvalue: pt=20.02391895 Celsius for sa=35.7g/kg, ct=20degC 728 759 !! 729 760 !! Reference : TEOS-10, UNESCO 730 !! Rational fit, see Roquet (2013)761 !! Rational approximation to TEOS10 algorithm (rms error on WOA13 values: 4.0e-5 degC) 731 762 !!---------------------------------------------------------------------- 732 763 REAL(wp), DIMENSION(jpi,jpj), INTENT(in ) :: ctmp ! Cons. Temp [Celcius] … … 736 767 ! 737 768 INTEGER :: ji, jj ! dummy loop indices 738 REAL(wp) :: zt , zs r, ztm ! local scalars769 REAL(wp) :: zt , zs , ztm ! local scalars 739 770 REAL(wp) :: zn , zd ! local scalars 771 REAL(wp) :: zdeltaS , z1_S0 , z1_T0 740 772 !!---------------------------------------------------------------------- 741 773 ! 742 774 IF ( nn_timing == 1 ) CALL timing_start('eos_pt_from_ct') 775 ! 776 zdeltaS = 5._wp 777 z1_S0 = 35._wp/35.16504_wp/40._wp 778 z1_T0 = 1._wp/40._wp 743 779 ! 744 780 DO jj = 1, jpj 745 781 DO ji = 1, jpi 746 zt = ctmp (ji,jj)747 zsr = SQRT( MAX( psal(ji,jj) , 0.1_wp ) ) ! square root salinity748 ztm = tmask(ji,jj,1) ! tmask749 782 ! 750 zn = ( ( ( ( -1.960202285944569e-04_wp*zsr & 751 & - 6.698743070819174e-05_wp*zt + 4.456449354084589e-03_wp )*zsr & 752 & + ( 1.424140773841990e-05_wp*zt - 1.961306826357777e-04_wp )*zt & 753 & - 1.535458707717669e-02_wp )*zsr & 754 & + ( ( 2.814957335530553e-06_wp*zt + 1.534287192323960e-04_wp )*zt & 755 & + 2.701363554476190e-02_wp )*zt - 1.869037589289360e-02_wp )*zsr & 756 & + ( ( ( -1.646758381788031e-08_wp*zt + 4.568111226988701e-07_wp )*zt & 757 & - 7.853794523448087e-04_wp )*zt - 8.000001510387515e-03_wp )*zt & 758 & - 1.132820958753811e-03_wp )*zsr & 759 & + ( ( ( ( -3.885399051933490e-09_wp*zt + 6.608853649947305e-07_wp )*zt & 760 & - 1.507746029483144e-04_wp )*zt - 3.457378558412451e-03_wp )*zt & 761 & - 7.616362942562558e-01_wp )*zt - 2.067472332529282e-01_wp 783 zt = ctmp (ji,jj) * z1_T0 784 zs = SQRT( ABS( psal(ji,jj) + zdeltaS ) * r1_S0 ) 785 ztm = tmask(ji,jj,1) 762 786 ! 763 zd = ( ( 8.421053090759674e-04_wp*zsr & 764 & - 8.267668312138185e-04_wp*zt - 6.920238162292441e-02_wp )*zsr & 765 & + ( 5.063023899703211e-05_wp*zt + 1.488626985392304e-02_wp )*zt & 766 & + 1.541411683853927e-01_wp )*zsr & 767 & + ( ( 6.537389208598346e-07_wp*zt + 1.856814792031252e-03_wp )*zt & 768 & + 1.592477436776734e-01_wp )*zt + 1.406742653394891e+01_wp 787 zn = ((((-2.1385727895e-01_wp*zt & 788 & - 2.7674419971e-01_wp*zs+1.0728094330_wp)*zt & 789 & + (2.6366564313_wp*zs+3.3546960647_wp)*zs-7.8012209473_wp)*zt & 790 & + ((1.8835586562_wp*zs+7.3949191679_wp)*zs-3.3937395875_wp)*zs-5.6414948432_wp)*zt & 791 & + (((3.5737370589_wp*zs-1.5512427389e+01_wp)*zs+2.4625741105e+01_wp)*zs & 792 & +1.9912291000e+01_wp)*zs-3.2191146312e+01_wp)*zt & 793 & + ((((5.7153204649e-01_wp*zs-3.0943149543_wp)*zs+9.3052495181_wp)*zs & 794 & -9.4528934807_wp)*zs+3.1066408996_wp)*zs-4.3504021262e-01_wp 769 795 ! 770 ptmp(ji,jj) = ( zt + zn / zd ) * ztm 796 zd = (2.0035003456_wp*zt & 797 & -3.4570358592e-01_wp*zs+5.6471810638_wp)*zt & 798 & + (1.5393993508_wp*zs-6.9394762624_wp)*zs+1.2750522650e+01_wp 799 ! 800 ptmp(ji,jj) = ( zt / z1_T0 + zn / zd ) * ztm 771 801 ! 772 802 END DO … … 840 870 !! ** Method : PE is defined analytically as the vertical 841 871 !! primitive of EOS times -g integrated between 0 and z>0. 842 !! pen is the nonlinear PE anomaly: ppen = ( PE - rau0 gz ) / rau0 gz - rd872 !! pen is the nonlinear bsq-PE anomaly: pen = ( PE - rau0 gz ) / rau0 gz - rd 843 873 !! = 1/z * /int_0^z rd dz - rd 844 874 !! where rd is the density anomaly (see eos_rhd function) … … 847 877 !! ab_pe(2) = 1/(rau0 gz) * dPE/dS + drd/dS = d(pen)/dS 848 878 !! 849 !! * nn_eos = -1 : polynomial TEOS-10850 !! * nn_eos = 0 : Jackett and McDougall (1995) (should not be used, using polynomial TEOS-10 formulation)851 !! * nn_eos = 1 : Vallis equation of state (Vallis 2006)852 !!853 879 !! ** Action : - pen : PE anomaly given at T-points 854 880 !! : - pab_pe : given at T-points … … 860 886 REAL(wp), DIMENSION(jpi,jpj,jpk) , INTENT( out) :: ppen ! potential energy anomaly 861 887 ! 862 INTEGER :: ji, jj, jk ! dummy loop indices863 REAL(wp) :: zt , zh , zs r, ztm , zs! local scalars864 REAL(wp) :: zn 865 !!---------------------------------------------------------------------- 866 ! 867 IF 888 INTEGER :: ji, jj, jk ! dummy loop indices 889 REAL(wp) :: zt , zh , zs , ztm ! local scalars 890 REAL(wp) :: zn , zn0, zn1, zn2 ! - - 891 !!---------------------------------------------------------------------- 892 ! 893 IF( nn_timing == 1 ) CALL timing_start('eos_pen') 868 894 ! 869 895 SELECT CASE ( nn_eos ) 870 896 ! 871 CASE ( -1 , 0 ) ! polyTEOS10 (used also for JM95 case as an approximation)897 CASE( -1, 0 ) !== polynomial TEOS-10 / EOS-80 ==! 872 898 ! 873 899 DO jk = 1, jpkm1 874 900 DO jj = 1, jpj 875 901 DO ji = 1, jpi 876 zt = pts (ji,jj,jk,jp_tem) 877 zh = fsdept(ji,jj,jk) ! depth 878 zsr = SQRT( MAX( pts(ji,jj,jk,jp_sal) , 0.1_wp ) ) ! square root salinity 879 ztm = tmask(ji,jj,jk) ! tmask 880 ! 881 ! 882 zn = ( ( ( PEN133*zsr & 883 & + PEN223*zt + PEN123 )*zsr & 884 & + ( PEN313*zt + PEN213 )*zt + PEN113 )*zh & 885 & + ( ( ( PEN152*zsr & 886 & + PEN242*zt + PEN142 )*zsr & 887 & + ( PEN332*zt + PEN232 )*zt + PEN132 )*zsr & 888 & + ( ( PEN422*zt + PEN322 )*zt + PEN222 )*zt + PEN122 )*zsr & 889 & + ( ( ( PEN512*zt + PEN412 )*zt + PEN312 )*zt + PEN212 )*zt + PEN112 )*zh 890 ! 891 ! ! potential energy non-linear anomaly 892 ppen(ji,jj,jk) = zn * r1_rau0 * ztm 893 ! 894 ! 895 zn = ( ( ( APE123 )*zsr & 896 & + APE213*zt + APE113 )*zh & 897 & + ( ( ( APE142 )*zsr & 898 & + APE232*zt + APE132 )*zsr & 899 & + ( APE322*zt + APE222 )*zt + APE122 )*zsr & 900 & + ( ( APE412*zt + APE312 )*zt + APE212 )*zt + APE112 )*zh 901 ! 902 ! ! alphaPE non-linear anomaly 903 pab_pe(ji,jj,jk,jp_tem) = zn * r1_rau0 * ztm 904 ! 905 ! 906 zn = ( ( ( BPE123 )*zsr & 907 & + BPE213*zt + BPE113 )*zh & 908 & + ( ( ( BPE142 )*zsr & 909 & + BPE232*zt + BPE132 )*zsr & 910 & + ( BPE322*zt + BPE222 )*zt + BPE122 )*zsr & 911 & + ( ( BPE412*zt + BPE312 )*zt + BPE212 )*zt + BPE112 )*zh 912 ! 913 ! ! betaPE non-linear anomaly 914 pab_pe(ji,jj,jk,jp_sal) = zn / zsr * r1_rau0 * ztm 902 ! 903 zh = fsdept(ji,jj,jk) * r1_Z0 ! depth 904 zt = pts (ji,jj,jk,jp_tem) * r1_T0 ! temperature 905 zs = SQRT( ABS( pts(ji,jj,jk,jp_sal) + rdeltaS ) * r1_S0 ) ! square root salinity 906 ztm = tmask(ji,jj,jk) ! tmask 907 ! 908 ! potential energy non-linear anomaly 909 zn2 = (PEN012)*zt & 910 & + PEN102*zs+PEN002 911 ! 912 zn1 = ((PEN021)*zt & 913 & + PEN111*zs+PEN011)*zt & 914 & + (PEN201*zs+PEN101)*zs+PEN001 915 ! 916 zn0 = ((((PEN040)*zt & 917 & + PEN130*zs+PEN030)*zt & 918 & + (PEN220*zs+PEN120)*zs+PEN020)*zt & 919 & + ((PEN310*zs+PEN210)*zs+PEN110)*zs+PEN010)*zt & 920 & + (((PEN400*zs+PEN300)*zs+PEN200)*zs+PEN100)*zs+PEN000 921 ! 922 zn = ( zn2 * zh + zn1 ) * zh + zn0 923 ! 924 ppen(ji,jj,jk) = zn * zh * r1_rau0 * ztm 925 ! 926 ! alphaPE non-linear anomaly 927 zn2 = APE002 928 ! 929 zn1 = (APE011)*zt & 930 & + APE101*zs+APE001 931 ! 932 zn0 = (((APE030)*zt & 933 & + APE120*zs+APE020)*zt & 934 & + (APE210*zs+APE110)*zs+APE010)*zt & 935 & + ((APE300*zs+APE200)*zs+APE100)*zs+APE000 936 ! 937 zn = ( zn2 * zh + zn1 ) * zh + zn0 938 ! 939 pab_pe(ji,jj,jk,jp_tem) = zn * zh * r1_rau0 * ztm 940 ! 941 ! betaPE non-linear anomaly 942 zn2 = BPE002 943 ! 944 zn1 = (BPE011)*zt & 945 & + BPE101*zs+BPE001 946 ! 947 zn0 = (((BPE030)*zt & 948 & + BPE120*zs+BPE020)*zt & 949 & + (BPE210*zs+BPE110)*zs+BPE010)*zt & 950 & + ((BPE300*zs+BPE200)*zs+BPE100)*zs+BPE000 951 ! 952 zn = ( zn2 * zh + zn1 ) * zh + zn0 953 ! 954 pab_pe(ji,jj,jk,jp_sal) = zn / zs * zh * r1_rau0 * ztm 915 955 ! 916 956 END DO … … 973 1013 WRITE( numond, nameos ) 974 1014 ! 975 rau0 = 1026._wp !: volumic mass of reference [kg/m3]976 rcp = 399 2._wp !: heat capacity[J/K]1015 rau0 = 1026._wp !: volumic mass of reference [kg/m3] 1016 rcp = 3991.86795711963_wp !: heat capacity [J/K] 977 1017 ! 978 1018 IF(lwp) THEN ! Control print … … 994 1034 IF(lwp) WRITE(numout,*) ' use of TEOS-10 equation of state (cons. temp. and abs. salinity)' 995 1035 ! 996 EOS111 = 9.9984112007e+02_wp 997 EOS211 = 6.4904564681e-02_wp 998 EOS311 = -8.1866708294e-03_wp 999 EOS411 = 8.4327846386e-05_wp 1000 EOS511 = -9.9853850905e-07_wp 1001 EOS611 = 9.5342506671e-09_wp 1002 EOS711 = -5.5942725501e-11_wp 1003 EOS121 = 4.8745609554e-04_wp 1004 EOS221 = -7.9137653036e-04_wp 1005 EOS321 = 1.1241300058e-04_wp 1006 EOS421 = -4.2658318975e-06_wp 1007 EOS521 = 2.7589924936e-08_wp 1008 EOS621 = 5.6573234128e-10_wp 1009 EOS131 = 8.2409990767e-01_wp 1010 EOS231 = -3.6746935996e-03_wp 1011 EOS331 = 2.8088034997e-05_wp 1012 EOS431 = 3.9432934562e-07_wp 1013 EOS531 = -8.6081969467e-09_wp 1014 EOS141 = -8.5860758561e-03_wp 1015 EOS241 = 1.0048170774e-04_wp 1016 EOS341 = -1.1219591564e-06_wp 1017 EOS441 = -1.4550322467e-09_wp 1018 EOS151 = 1.2633903654e-03_wp 1019 EOS251 = -7.2707200365e-06_wp 1020 EOS351 = 2.6241351559e-08_wp 1021 EOS161 = -7.4242043203e-05_wp 1022 EOS261 = 3.8374457797e-07_wp 1023 EOS171 = 1.2722088050e-06_wp 1024 EOS112 = 4.3845092294e-04_wp 1025 EOS212 = -3.5237528758e-05_wp 1026 EOS312 = 5.7586626030e-07_wp 1027 EOS412 = -6.3139238271e-09_wp 1028 EOS512 = 3.9434377793e-11_wp 1029 EOS122 = -7.6672754907e-06_wp 1030 EOS222 = 9.0194877799e-08_wp 1031 EOS322 = -1.6940551903e-09_wp 1032 EOS422 = 3.1783762285e-11_wp 1033 EOS132 = -5.9870305749e-06_wp 1034 EOS232 = 1.0325176608e-07_wp 1035 EOS332 = -8.0185331501e-10_wp 1036 EOS142 = -5.6324524012e-07_wp 1037 EOS242 = 6.6221210305e-10_wp 1038 EOS152 = 3.9558159454e-08_wp 1039 EOS113 = -1.6847693220e-09_wp 1040 EOS213 = 5.3653075114e-10_wp 1041 EOS313 = -1.0864160933e-11_wp 1042 EOS123 = -1.6883150438e-09_wp 1043 EOS223 = 6.5982407189e-12_wp 1044 EOS133 = 2.7370939782e-10_wp 1045 ! 1046 ALP111 = -6.4904564681e-02_wp 1047 ALP211 = 1.6373341659e-02_wp 1048 ALP311 = -2.5298353916e-04_wp 1049 ALP411 = 3.9941540362e-06_wp 1050 ALP511 = -4.7671253336e-08_wp 1051 ALP611 = 3.3565635301e-10_wp 1052 ALP121 = 7.9137653036e-04_wp 1053 ALP221 = -2.2482600117e-04_wp 1054 ALP321 = 1.2797495693e-05_wp 1055 ALP421 = -1.1035969974e-07_wp 1056 ALP521 = -2.8286617064e-09_wp 1057 ALP131 = 3.6746935996e-03_wp 1058 ALP231 = -5.6176069994e-05_wp 1059 ALP331 = -1.1829880369e-06_wp 1060 ALP431 = 3.4432787787e-08_wp 1061 ALP141 = -1.0048170774e-04_wp 1062 ALP241 = 2.2439183129e-06_wp 1063 ALP341 = 4.3650967401e-09_wp 1064 ALP151 = 7.2707200365e-06_wp 1065 ALP251 = -5.2482703118e-08_wp 1066 ALP161 = -3.8374457797e-07_wp 1067 ALP112 = 3.5237528758e-05_wp 1068 ALP212 = -1.1517325206e-06_wp 1069 ALP312 = 1.8941771481e-08_wp 1070 ALP412 = -1.5773751117e-10_wp 1071 ALP122 = -9.0194877799e-08_wp 1072 ALP222 = 3.3881103805e-09_wp 1073 ALP322 = -9.5351286854e-11_wp 1074 ALP132 = -1.0325176608e-07_wp 1075 ALP232 = 1.6037066300e-09_wp 1076 ALP142 = -6.6221210305e-10_wp 1077 ALP113 = -5.3653075114e-10_wp 1078 ALP213 = 2.1728321866e-11_wp 1079 ALP123 = -6.5982407189e-12_wp 1080 ! 1081 BET111 = 2.4372804777e-04_wp 1082 BET211 = -3.9568826518e-04_wp 1083 BET311 = 5.6206500292e-05_wp 1084 BET411 = -2.1329159488e-06_wp 1085 BET511 = 1.3794962468e-08_wp 1086 BET611 = 2.8286617064e-10_wp 1087 BET121 = 8.2409990767e-01_wp 1088 BET221 = -3.6746935996e-03_wp 1089 BET321 = 2.8088034997e-05_wp 1090 BET421 = 3.9432934562e-07_wp 1091 BET521 = -8.6081969467e-09_wp 1092 BET131 = -1.2879113784e-02_wp 1093 BET231 = 1.5072256162e-04_wp 1094 BET331 = -1.6829387347e-06_wp 1095 BET431 = -2.1825483700e-09_wp 1096 BET141 = 2.5267807308e-03_wp 1097 BET241 = -1.4541440073e-05_wp 1098 BET341 = 5.2482703118e-08_wp 1099 BET151 = -1.8560510801e-04_wp 1100 BET251 = 9.5936144494e-07_wp 1101 BET161 = 3.8166264151e-06_wp 1102 BET112 = -3.8336377454e-06_wp 1103 BET212 = 4.5097438900e-08_wp 1104 BET312 = -8.4702759513e-10_wp 1105 BET412 = 1.5891881142e-11_wp 1106 BET122 = -5.9870305749e-06_wp 1107 BET222 = 1.0325176608e-07_wp 1108 BET322 = -8.0185331501e-10_wp 1109 BET132 = -8.4486786018e-07_wp 1110 BET232 = 9.9331815458e-10_wp 1111 BET142 = 7.9116318907e-08_wp 1112 BET113 = -8.4415752190e-10_wp 1113 BET213 = 3.2991203594e-12_wp 1114 BET123 = 2.7370939782e-10_wp 1115 ! 1116 PEN112 = -2.1922546147e-04_wp 1117 PEN212 = 1.7618764379e-05_wp 1118 PEN312 = -2.8793313015e-07_wp 1119 PEN412 = 3.1569619136e-09_wp 1120 PEN512 = -1.9717188896e-11_wp 1121 PEN122 = 3.8336377454e-06_wp 1122 PEN222 = -4.5097438900e-08_wp 1123 PEN322 = 8.4702759513e-10_wp 1124 PEN422 = -1.5891881142e-11_wp 1125 PEN132 = 2.9935152875e-06_wp 1126 PEN232 = -5.1625883042e-08_wp 1127 PEN332 = 4.0092665751e-10_wp 1128 PEN142 = 2.8162262006e-07_wp 1129 PEN242 = -3.3110605153e-10_wp 1130 PEN152 = -1.9779079727e-08_wp 1131 PEN113 = 1.1231795480e-09_wp 1132 PEN213 = -3.5768716743e-10_wp 1133 PEN313 = 7.2427739554e-12_wp 1134 PEN123 = 1.1255433625e-09_wp 1135 PEN223 = -4.3988271459e-12_wp 1136 PEN133 = -1.8247293188e-10_wp 1137 ! 1138 APE112 = -1.7618764379e-05_wp 1139 APE212 = 5.7586626030e-07_wp 1140 APE312 = -9.4708857407e-09_wp 1141 APE412 = 7.8868755586e-11_wp 1142 APE122 = 4.5097438900e-08_wp 1143 APE222 = -1.6940551903e-09_wp 1144 APE322 = 4.7675643427e-11_wp 1145 APE132 = 5.1625883042e-08_wp 1146 APE232 = -8.0185331501e-10_wp 1147 APE142 = 3.3110605153e-10_wp 1148 APE113 = 3.5768716743e-10_wp 1149 APE213 = -1.4485547911e-11_wp 1150 APE123 = 4.3988271459e-12_wp 1151 ! 1152 BPE112 = 1.9168188727e-06_wp 1153 BPE212 = -2.2548719450e-08_wp 1154 BPE312 = 4.2351379756e-10_wp 1155 BPE412 = -7.9459405711e-12_wp 1156 BPE122 = 2.9935152875e-06_wp 1157 BPE222 = -5.1625883042e-08_wp 1158 BPE322 = 4.0092665751e-10_wp 1159 BPE132 = 4.2243393009e-07_wp 1160 BPE232 = -4.9665907729e-10_wp 1161 BPE142 = -3.9558159454e-08_wp 1162 BPE113 = 5.6277168127e-10_wp 1163 BPE213 = -2.1994135730e-12_wp 1164 BPE123 = -1.8247293188e-10_wp 1036 rdeltaS = 32._wp 1037 r1_S0 = 35._wp/35.16504_wp/40._wp 1038 r1_T0 = 1._wp/40._wp 1039 r1_Z0 = 1.e-4_wp 1040 ! 1041 EOS000 = 8.0189615746e+02_wp 1042 EOS100 = 8.6672408165e+02_wp 1043 EOS200 = -1.7864682637e+03_wp 1044 EOS300 = 2.0375295546e+03_wp 1045 EOS400 = -1.2849161071e+03_wp 1046 EOS500 = 4.3227585684e+02_wp 1047 EOS600 = -6.0579916612e+01_wp 1048 EOS010 = 2.6010145068e+01_wp 1049 EOS110 = -6.5281885265e+01_wp 1050 EOS210 = 8.1770425108e+01_wp 1051 EOS310 = -5.6888046321e+01_wp 1052 EOS410 = 1.7681814114e+01_wp 1053 EOS510 = -1.9193502195_wp 1054 EOS020 = -3.7074170417e+01_wp 1055 EOS120 = 6.1548258127e+01_wp 1056 EOS220 = -6.0362551501e+01_wp 1057 EOS320 = 2.9130021253e+01_wp 1058 EOS420 = -5.4723692739_wp 1059 EOS030 = 2.1661789529e+01_wp 1060 EOS130 = -3.3449108469e+01_wp 1061 EOS230 = 1.9717078466e+01_wp 1062 EOS330 = -3.1742946532_wp 1063 EOS040 = -8.3627885467_wp 1064 EOS140 = 1.1311538584e+01_wp 1065 EOS240 = -5.3563304045_wp 1066 EOS050 = 5.4048723791e-01_wp 1067 EOS150 = 4.8169980163e-01_wp 1068 EOS060 = -1.9083568888e-01_wp 1069 EOS001 = 1.9681925209e+01_wp 1070 EOS101 = -4.2549998214e+01_wp 1071 EOS201 = 5.0774768218e+01_wp 1072 EOS301 = -3.0938076334e+01_wp 1073 EOS401 = 6.6051753097_wp 1074 EOS011 = -1.3336301113e+01_wp 1075 EOS111 = -4.4870114575_wp 1076 EOS211 = 5.0042598061_wp 1077 EOS311 = -6.5399043664e-01_wp 1078 EOS021 = 6.7080479603_wp 1079 EOS121 = 3.5063081279_wp 1080 EOS221 = -1.8795372996_wp 1081 EOS031 = -2.4649669534_wp 1082 EOS131 = -5.5077101279e-01_wp 1083 EOS041 = 5.5927935970e-01_wp 1084 EOS002 = 2.0660924175_wp 1085 EOS102 = -4.9527603989_wp 1086 EOS202 = 2.5019633244_wp 1087 EOS012 = 2.0564311499_wp 1088 EOS112 = -2.1311365518e-01_wp 1089 EOS022 = -1.2419983026_wp 1090 EOS003 = -2.3342758797e-02_wp 1091 EOS103 = -1.8507636718e-02_wp 1092 EOS013 = 3.7969820455e-01_wp 1093 ! 1094 ALP000 = -6.5025362670e-01_wp 1095 ALP100 = 1.6320471316_wp 1096 ALP200 = -2.0442606277_wp 1097 ALP300 = 1.4222011580_wp 1098 ALP400 = -4.4204535284e-01_wp 1099 ALP500 = 4.7983755487e-02_wp 1100 ALP010 = 1.8537085209_wp 1101 ALP110 = -3.0774129064_wp 1102 ALP210 = 3.0181275751_wp 1103 ALP310 = -1.4565010626_wp 1104 ALP410 = 2.7361846370e-01_wp 1105 ALP020 = -1.6246342147_wp 1106 ALP120 = 2.5086831352_wp 1107 ALP220 = -1.4787808849_wp 1108 ALP320 = 2.3807209899e-01_wp 1109 ALP030 = 8.3627885467e-01_wp 1110 ALP130 = -1.1311538584_wp 1111 ALP230 = 5.3563304045e-01_wp 1112 ALP040 = -6.7560904739e-02_wp 1113 ALP140 = -6.0212475204e-02_wp 1114 ALP050 = 2.8625353333e-02_wp 1115 ALP001 = 3.3340752782e-01_wp 1116 ALP101 = 1.1217528644e-01_wp 1117 ALP201 = -1.2510649515e-01_wp 1118 ALP301 = 1.6349760916e-02_wp 1119 ALP011 = -3.3540239802e-01_wp 1120 ALP111 = -1.7531540640e-01_wp 1121 ALP211 = 9.3976864981e-02_wp 1122 ALP021 = 1.8487252150e-01_wp 1123 ALP121 = 4.1307825959e-02_wp 1124 ALP031 = -5.5927935970e-02_wp 1125 ALP002 = -5.1410778748e-02_wp 1126 ALP102 = 5.3278413794e-03_wp 1127 ALP012 = 6.2099915132e-02_wp 1128 ALP003 = -9.4924551138e-03_wp 1129 ! 1130 ALP000 = -6.5025362670e-01_wp 1131 ALP100 = 1.6320471316_wp 1132 ALP200 = -2.0442606277_wp 1133 ALP300 = 1.4222011580_wp 1134 ALP400 = -4.4204535284e-01_wp 1135 ALP500 = 4.7983755487e-02_wp 1136 ALP010 = 1.8537085209_wp 1137 ALP110 = -3.0774129064_wp 1138 ALP210 = 3.0181275751_wp 1139 ALP310 = -1.4565010626_wp 1140 ALP410 = 2.7361846370e-01_wp 1141 ALP020 = -1.6246342147_wp 1142 ALP120 = 2.5086831352_wp 1143 ALP220 = -1.4787808849_wp 1144 ALP320 = 2.3807209899e-01_wp 1145 ALP030 = 8.3627885467e-01_wp 1146 ALP130 = -1.1311538584_wp 1147 ALP230 = 5.3563304045e-01_wp 1148 ALP040 = -6.7560904739e-02_wp 1149 ALP140 = -6.0212475204e-02_wp 1150 ALP050 = 2.8625353333e-02_wp 1151 ALP001 = 3.3340752782e-01_wp 1152 ALP101 = 1.1217528644e-01_wp 1153 ALP201 = -1.2510649515e-01_wp 1154 ALP301 = 1.6349760916e-02_wp 1155 ALP011 = -3.3540239802e-01_wp 1156 ALP111 = -1.7531540640e-01_wp 1157 ALP211 = 9.3976864981e-02_wp 1158 ALP021 = 1.8487252150e-01_wp 1159 ALP121 = 4.1307825959e-02_wp 1160 ALP031 = -5.5927935970e-02_wp 1161 ALP002 = -5.1410778748e-02_wp 1162 ALP102 = 5.3278413794e-03_wp 1163 ALP012 = 6.2099915132e-02_wp 1164 ALP003 = -9.4924551138e-03_wp 1165 ! 1166 PEN000 = -9.8409626043_wp 1167 PEN100 = 2.1274999107e+01_wp 1168 PEN200 = -2.5387384109e+01_wp 1169 PEN300 = 1.5469038167e+01_wp 1170 PEN400 = -3.3025876549_wp 1171 PEN010 = 6.6681505563_wp 1172 PEN110 = 2.2435057288_wp 1173 PEN210 = -2.5021299030_wp 1174 PEN310 = 3.2699521832e-01_wp 1175 PEN020 = -3.3540239802_wp 1176 PEN120 = -1.7531540640_wp 1177 PEN220 = 9.3976864981e-01_wp 1178 PEN030 = 1.2324834767_wp 1179 PEN130 = 2.7538550639e-01_wp 1180 PEN040 = -2.7963967985e-01_wp 1181 PEN001 = -1.3773949450_wp 1182 PEN101 = 3.3018402659_wp 1183 PEN201 = -1.6679755496_wp 1184 PEN011 = -1.3709540999_wp 1185 PEN111 = 1.4207577012e-01_wp 1186 PEN021 = 8.2799886843e-01_wp 1187 PEN002 = 1.7507069098e-02_wp 1188 PEN102 = 1.3880727538e-02_wp 1189 PEN012 = -2.8477365341e-01_wp 1190 ! 1191 APE000 = -1.6670376391e-01_wp 1192 APE100 = -5.6087643219e-02_wp 1193 APE200 = 6.2553247576e-02_wp 1194 APE300 = -8.1748804580e-03_wp 1195 APE010 = 1.6770119901e-01_wp 1196 APE110 = 8.7657703198e-02_wp 1197 APE210 = -4.6988432490e-02_wp 1198 APE020 = -9.2436260751e-02_wp 1199 APE120 = -2.0653912979e-02_wp 1200 APE030 = 2.7963967985e-02_wp 1201 APE001 = 3.4273852498e-02_wp 1202 APE101 = -3.5518942529e-03_wp 1203 APE011 = -4.1399943421e-02_wp 1204 APE002 = 7.1193413354e-03_wp 1205 ! 1206 BPE000 = 2.6468936504e-01_wp 1207 BPE100 = -6.3170583896e-01_wp 1208 BPE200 = 5.7736640125e-01_wp 1209 BPE300 = -1.6435438140e-01_wp 1210 BPE010 = 2.7912203607e-02_wp 1211 BPE110 = -6.2259666565e-02_wp 1212 BPE210 = 1.2204769966e-02_wp 1213 BPE020 = -2.1811574876e-02_wp 1214 BPE120 = 2.3383950895e-02_wp 1215 BPE030 = 3.4261630030e-03_wp 1216 BPE001 = 4.1079296834e-02_wp 1217 BPE101 = -4.1503681096e-02_wp 1218 BPE011 = 1.7676120780e-03_wp 1219 BPE002 = 1.7269476440e-04_wp 1165 1220 ! 1166 1221 CASE( 0 ) !== polynomial EOS-80 formulation ==! … … 1169 1224 IF(lwp) WRITE(numout,*) ' use of EOS-80 equation of state (pot. temp. and pract. salinity)' 1170 1225 ! 1171 EOS111 = 9.9984240021e+02_wp 1172 EOS211 = 6.8051135248e-02_wp 1173 EOS311 = -9.0991456041e-03_wp 1174 EOS411 = 9.9238754931e-05_wp 1175 EOS511 = -1.0602210389e-06_wp 1176 EOS611 = 5.1296071368e-09_wp 1177 EOS711 = 1.1887242136e-11_wp 1178 EOS121 = -1.9799119661e-04_wp 1179 EOS221 = -1.6676932531e-05_wp 1180 EOS321 = 3.2084304200e-06_wp 1181 EOS421 = -4.8983568948e-08_wp 1182 EOS521 = -1.5610111448e-09_wp 1183 EOS621 = 2.8366680541e-11_wp 1184 EOS131 = 8.2448582544e-01_wp 1185 EOS231 = -4.0764319966e-03_wp 1186 EOS331 = 7.4898579574e-05_wp 1187 EOS431 = -7.7884546946e-07_wp 1188 EOS531 = 5.0405569756e-09_wp 1189 EOS141 = -5.7150204345e-03_wp 1190 EOS241 = 1.0157923923e-04_wp 1191 EOS341 = -1.6325795501e-06_wp 1192 EOS441 = -1.6144820180e-09_wp 1193 EOS151 = 4.8005813592e-04_wp 1194 EOS251 = 1.6199868493e-07_wp 1195 EOS351 = 7.8805435082e-09_wp 1196 EOS161 = 1.9978872493e-07_wp 1197 EOS261 = -3.1437087783e-08_wp 1198 EOS171 = 2.5463113215e-08_wp 1199 EOS112 = 4.3756680685e-04_wp 1200 EOS212 = -3.7298355935e-05_wp 1201 EOS312 = 6.5348660941e-07_wp 1202 EOS412 = -7.2558835910e-09_wp 1203 EOS512 = 3.8273323221e-11_wp 1204 EOS122 = 1.4369434305e-06_wp 1205 EOS222 = 5.6521871685e-08_wp 1206 EOS322 = -1.2136936896e-08_wp 1207 EOS422 = 2.1030996727e-10_wp 1208 EOS132 = -1.0262750144e-05_wp 1209 EOS232 = 2.0858571138e-07_wp 1210 EOS332 = -1.4826357415e-09_wp 1211 EOS142 = 8.5860757162e-08_wp 1212 EOS242 = -5.2140945761e-09_wp 1213 EOS152 = 8.2162682979e-09_wp 1214 EOS113 = -5.5011801985e-09_wp 1215 EOS213 = 5.7020541017e-10_wp 1216 EOS313 = -1.0193603551e-11_wp 1217 EOS123 = -1.0893703284e-10_wp 1218 EOS223 = -4.1944954508e-12_wp 1219 EOS133 = 1.1857534169e-10_wp 1220 ! 1221 ALP111 = -6.8051135248e-02_wp 1222 ALP211 = 1.8198291208e-02_wp 1223 ALP311 = -2.9771626479e-04_wp 1224 ALP411 = 4.2408841556e-06_wp 1225 ALP511 = -2.5648035684e-08_wp 1226 ALP611 = -7.1323452819e-11_wp 1227 ALP121 = 1.6676932531e-05_wp 1228 ALP221 = -6.4168608399e-06_wp 1229 ALP321 = 1.4695070684e-07_wp 1230 ALP421 = 6.2440445791e-09_wp 1231 ALP521 = -1.4183340270e-10_wp 1232 ALP131 = 4.0764319966e-03_wp 1233 ALP231 = -1.4979715915e-04_wp 1234 ALP331 = 2.3365364084e-06_wp 1235 ALP431 = -2.0162227903e-08_wp 1236 ALP141 = -1.0157923923e-04_wp 1237 ALP241 = 3.2651591003e-06_wp 1238 ALP341 = 4.8434460540e-09_wp 1239 ALP151 = -1.6199868493e-07_wp 1240 ALP251 = -1.5761087016e-08_wp 1241 ALP161 = 3.1437087783e-08_wp 1242 ALP112 = 3.7298355935e-05_wp 1243 ALP212 = -1.3069732188e-06_wp 1244 ALP312 = 2.1767650773e-08_wp 1245 ALP412 = -1.5309329288e-10_wp 1246 ALP122 = -5.6521871685e-08_wp 1247 ALP222 = 2.4273873792e-08_wp 1248 ALP322 = -6.3092990180e-10_wp 1249 ALP132 = -2.0858571138e-07_wp 1250 ALP232 = 2.9652714830e-09_wp 1251 ALP142 = 5.2140945761e-09_wp 1252 ALP113 = -5.7020541017e-10_wp 1253 ALP213 = 2.0387207103e-11_wp 1254 ALP123 = 4.1944954508e-12_wp 1255 ! 1256 BET111 = -9.8995598303e-05_wp 1257 BET211 = -8.3384662657e-06_wp 1258 BET311 = 1.6042152100e-06_wp 1259 BET411 = -2.4491784474e-08_wp 1260 BET511 = -7.8050557238e-10_wp 1261 BET611 = 1.4183340270e-11_wp 1262 BET121 = 8.2448582544e-01_wp 1263 BET221 = -4.0764319966e-03_wp 1264 BET321 = 7.4898579574e-05_wp 1265 BET421 = -7.7884546946e-07_wp 1266 BET521 = 5.0405569756e-09_wp 1267 BET131 = -8.5725306517e-03_wp 1268 BET231 = 1.5236885884e-04_wp 1269 BET331 = -2.4488693252e-06_wp 1270 BET431 = -2.4217230270e-09_wp 1271 BET141 = 9.6011627184e-04_wp 1272 BET241 = 3.2399736986e-07_wp 1273 BET341 = 1.5761087016e-08_wp 1274 BET151 = 4.9947181231e-07_wp 1275 BET251 = -7.8592719459e-08_wp 1276 BET161 = 7.6389339644e-08_wp 1277 BET112 = 7.1847171523e-07_wp 1278 BET212 = 2.8260935842e-08_wp 1279 BET312 = -6.0684684481e-09_wp 1280 BET412 = 1.0515498363e-10_wp 1281 BET122 = -1.0262750144e-05_wp 1282 BET222 = 2.0858571138e-07_wp 1283 BET322 = -1.4826357415e-09_wp 1284 BET132 = 1.2879113574e-07_wp 1285 BET232 = -7.8211418642e-09_wp 1286 BET142 = 1.6432536596e-08_wp 1287 BET113 = -5.4468516419e-11_wp 1288 BET213 = -2.0972477254e-12_wp 1289 BET123 = 1.1857534169e-10_wp 1290 ! 1291 PEN112 = -2.1878340343e-04_wp 1292 PEN212 = 1.8649177967e-05_wp 1293 PEN312 = -3.2674330470e-07_wp 1294 PEN412 = 3.6279417955e-09_wp 1295 PEN512 = -1.9136661610e-11_wp 1296 PEN122 = -7.1847171523e-07_wp 1297 PEN222 = -2.8260935842e-08_wp 1298 PEN322 = 6.0684684481e-09_wp 1299 PEN422 = -1.0515498363e-10_wp 1300 PEN132 = 5.1313750720e-06_wp 1301 PEN232 = -1.0429285569e-07_wp 1302 PEN332 = 7.4131787075e-10_wp 1303 PEN142 = -4.2930378581e-08_wp 1304 PEN242 = 2.6070472881e-09_wp 1305 PEN152 = -4.1081341490e-09_wp 1306 PEN113 = 3.6674534657e-09_wp 1307 PEN213 = -3.8013694011e-10_wp 1308 PEN313 = 6.7957357010e-12_wp 1309 PEN123 = 7.2624688558e-11_wp 1310 PEN223 = 2.7963303006e-12_wp 1311 PEN133 = -7.9050227794e-11_wp 1312 ! 1313 APE112 = -1.8649177967e-05_wp 1314 APE212 = 6.5348660941e-07_wp 1315 APE312 = -1.0883825386e-08_wp 1316 APE412 = 7.6546646441e-11_wp 1317 APE122 = 2.8260935842e-08_wp 1318 APE222 = -1.2136936896e-08_wp 1319 APE322 = 3.1546495090e-10_wp 1320 APE132 = 1.0429285569e-07_wp 1321 APE232 = -1.4826357415e-09_wp 1322 APE142 = -2.6070472881e-09_wp 1323 APE113 = 3.8013694011e-10_wp 1324 APE213 = -1.3591471402e-11_wp 1325 APE123 = -2.7963303006e-12_wp 1326 ! 1327 BPE112 = -3.5923585761e-07_wp 1328 BPE212 = -1.4130467921e-08_wp 1329 BPE312 = 3.0342342240e-09_wp 1330 BPE412 = -5.2577491816e-11_wp 1331 BPE122 = 5.1313750720e-06_wp 1332 BPE222 = -1.0429285569e-07_wp 1333 BPE322 = 7.4131787075e-10_wp 1334 BPE132 = -6.4395567871e-08_wp 1335 BPE232 = 3.9105709321e-09_wp 1336 BPE142 = -8.2162682979e-09_wp 1337 BPE113 = 3.6312344279e-11_wp 1338 BPE213 = 1.3981651503e-12_wp 1339 BPE123 = -7.9050227794e-11_wp 1226 rdeltaS = 20._wp 1227 r1_S0 = 1._wp/40._wp 1228 r1_T0 = 1._wp/40._wp 1229 r1_Z0 = 1.e-4_wp 1230 ! 1231 EOS000 = 9.5356891948e+02_wp 1232 EOS100 = 1.7136499189e+02_wp 1233 EOS200 = -3.7501039454e+02_wp 1234 EOS300 = 5.1856810420e+02_wp 1235 EOS400 = -3.7264470465e+02_wp 1236 EOS500 = 1.4302533998e+02_wp 1237 EOS600 = -2.2856621162e+01_wp 1238 EOS010 = 1.0087518651e+01_wp 1239 EOS110 = -1.3647741861e+01_wp 1240 EOS210 = 8.8478359933_wp 1241 EOS310 = -7.2329388377_wp 1242 EOS410 = 1.4774410611_wp 1243 EOS510 = 2.0036720553e-01_wp 1244 EOS020 = -2.5579830599e+01_wp 1245 EOS120 = 2.4043512327e+01_wp 1246 EOS220 = -1.6807503990e+01_wp 1247 EOS320 = 8.3811577084_wp 1248 EOS420 = -1.9771060192_wp 1249 EOS030 = 1.6846451198e+01_wp 1250 EOS130 = -2.1482926901e+01_wp 1251 EOS230 = 1.0108954054e+01_wp 1252 EOS330 = -6.2675951440e-01_wp 1253 EOS040 = -8.0812310102_wp 1254 EOS140 = 1.0102374985e+01_wp 1255 EOS240 = -4.8340368631_wp 1256 EOS050 = 1.2079167803_wp 1257 EOS150 = 1.1515380987e-01_wp 1258 EOS060 = -2.4520288837e-01_wp 1259 EOS001 = 1.0748601068e+01_wp 1260 EOS101 = -1.7817043500e+01_wp 1261 EOS201 = 2.2181366768e+01_wp 1262 EOS301 = -1.6750916338e+01_wp 1263 EOS401 = 4.1202230403_wp 1264 EOS011 = -1.5852644587e+01_wp 1265 EOS111 = -7.6639383522e-01_wp 1266 EOS211 = 4.1144627302_wp 1267 EOS311 = -6.6955877448e-01_wp 1268 EOS021 = 9.9994861860_wp 1269 EOS121 = -1.9467067787e-01_wp 1270 EOS221 = -1.2177554330_wp 1271 EOS031 = -3.4866102017_wp 1272 EOS131 = 2.2229155620e-01_wp 1273 EOS041 = 5.9503008642e-01_wp 1274 EOS002 = 1.0375676547_wp 1275 EOS102 = -3.4249470629_wp 1276 EOS202 = 2.0542026429_wp 1277 EOS012 = 2.1836324814_wp 1278 EOS112 = -3.4453674320e-01_wp 1279 EOS022 = -1.2548163097_wp 1280 EOS003 = 1.8729078427e-02_wp 1281 EOS103 = -5.7238495240e-02_wp 1282 EOS013 = 3.8306136687e-01_wp 1283 ! 1284 ALP000 = -2.5218796628e-01_wp 1285 ALP100 = 3.4119354654e-01_wp 1286 ALP200 = -2.2119589983e-01_wp 1287 ALP300 = 1.8082347094e-01_wp 1288 ALP400 = -3.6936026529e-02_wp 1289 ALP500 = -5.0091801383e-03_wp 1290 ALP010 = 1.2789915300_wp 1291 ALP110 = -1.2021756164_wp 1292 ALP210 = 8.4037519952e-01_wp 1293 ALP310 = -4.1905788542e-01_wp 1294 ALP410 = 9.8855300959e-02_wp 1295 ALP020 = -1.2634838399_wp 1296 ALP120 = 1.6112195176_wp 1297 ALP220 = -7.5817155402e-01_wp 1298 ALP320 = 4.7006963580e-02_wp 1299 ALP030 = 8.0812310102e-01_wp 1300 ALP130 = -1.0102374985_wp 1301 ALP230 = 4.8340368631e-01_wp 1302 ALP040 = -1.5098959754e-01_wp 1303 ALP140 = -1.4394226233e-02_wp 1304 ALP050 = 3.6780433255e-02_wp 1305 ALP001 = 3.9631611467e-01_wp 1306 ALP101 = 1.9159845880e-02_wp 1307 ALP201 = -1.0286156825e-01_wp 1308 ALP301 = 1.6738969362e-02_wp 1309 ALP011 = -4.9997430930e-01_wp 1310 ALP111 = 9.7335338937e-03_wp 1311 ALP211 = 6.0887771651e-02_wp 1312 ALP021 = 2.6149576513e-01_wp 1313 ALP121 = -1.6671866715e-02_wp 1314 ALP031 = -5.9503008642e-02_wp 1315 ALP002 = -5.4590812035e-02_wp 1316 ALP102 = 8.6134185799e-03_wp 1317 ALP012 = 6.2740815484e-02_wp 1318 ALP003 = -9.5765341718e-03_wp 1319 ! 1320 BET000 = 2.1420623987_wp 1321 BET100 = -9.3752598635_wp 1322 BET200 = 1.9446303907e+01_wp 1323 BET300 = -1.8632235232e+01_wp 1324 BET400 = 8.9390837485_wp 1325 BET500 = -1.7142465871_wp 1326 BET010 = -1.7059677327e-01_wp 1327 BET110 = 2.2119589983e-01_wp 1328 BET210 = -2.7123520642e-01_wp 1329 BET310 = 7.3872053057e-02_wp 1330 BET410 = 1.2522950346e-02_wp 1331 BET020 = 3.0054390409e-01_wp 1332 BET120 = -4.2018759976e-01_wp 1333 BET220 = 3.1429341406e-01_wp 1334 BET320 = -9.8855300959e-02_wp 1335 BET030 = -2.6853658626e-01_wp 1336 BET130 = 2.5272385134e-01_wp 1337 BET230 = -2.3503481790e-02_wp 1338 BET040 = 1.2627968731e-01_wp 1339 BET140 = -1.2085092158e-01_wp 1340 BET050 = 1.4394226233e-03_wp 1341 BET001 = -2.2271304375e-01_wp 1342 BET101 = 5.5453416919e-01_wp 1343 BET201 = -6.2815936268e-01_wp 1344 BET301 = 2.0601115202e-01_wp 1345 BET011 = -9.5799229402e-03_wp 1346 BET111 = 1.0286156825e-01_wp 1347 BET211 = -2.5108454043e-02_wp 1348 BET021 = -2.4333834734e-03_wp 1349 BET121 = -3.0443885826e-02_wp 1350 BET031 = 2.7786444526e-03_wp 1351 BET002 = -4.2811838287e-02_wp 1352 BET102 = 5.1355066072e-02_wp 1353 BET012 = -4.3067092900e-03_wp 1354 BET003 = -7.1548119050e-04_wp 1355 ! 1356 PEN000 = -5.3743005340_wp 1357 PEN100 = 8.9085217499_wp 1358 PEN200 = -1.1090683384e+01_wp 1359 PEN300 = 8.3754581690_wp 1360 PEN400 = -2.0601115202_wp 1361 PEN010 = 7.9263222935_wp 1362 PEN110 = 3.8319691761e-01_wp 1363 PEN210 = -2.0572313651_wp 1364 PEN310 = 3.3477938724e-01_wp 1365 PEN020 = -4.9997430930_wp 1366 PEN120 = 9.7335338937e-02_wp 1367 PEN220 = 6.0887771651e-01_wp 1368 PEN030 = 1.7433051009_wp 1369 PEN130 = -1.1114577810e-01_wp 1370 PEN040 = -2.9751504321e-01_wp 1371 PEN001 = -6.9171176978e-01_wp 1372 PEN101 = 2.2832980419_wp 1373 PEN201 = -1.3694684286_wp 1374 PEN011 = -1.4557549876_wp 1375 PEN111 = 2.2969116213e-01_wp 1376 PEN021 = 8.3654420645e-01_wp 1377 PEN002 = -1.4046808820e-02_wp 1378 PEN102 = 4.2928871430e-02_wp 1379 PEN012 = -2.8729602515e-01_wp 1380 ! 1381 APE000 = -1.9815805734e-01_wp 1382 APE100 = -9.5799229402e-03_wp 1383 APE200 = 5.1430784127e-02_wp 1384 APE300 = -8.3694846809e-03_wp 1385 APE010 = 2.4998715465e-01_wp 1386 APE110 = -4.8667669469e-03_wp 1387 APE210 = -3.0443885826e-02_wp 1388 APE020 = -1.3074788257e-01_wp 1389 APE120 = 8.3359333577e-03_wp 1390 APE030 = 2.9751504321e-02_wp 1391 APE001 = 3.6393874690e-02_wp 1392 APE101 = -5.7422790533e-03_wp 1393 APE011 = -4.1827210323e-02_wp 1394 APE002 = 7.1824006288e-03_wp 1395 ! 1396 BPE000 = 1.1135652187e-01_wp 1397 BPE100 = -2.7726708459e-01_wp 1398 BPE200 = 3.1407968134e-01_wp 1399 BPE300 = -1.0300557601e-01_wp 1400 BPE010 = 4.7899614701e-03_wp 1401 BPE110 = -5.1430784127e-02_wp 1402 BPE210 = 1.2554227021e-02_wp 1403 BPE020 = 1.2166917367e-03_wp 1404 BPE120 = 1.5221942913e-02_wp 1405 BPE030 = -1.3893222263e-03_wp 1406 BPE001 = 2.8541225524e-02_wp 1407 BPE101 = -3.4236710714e-02_wp 1408 BPE011 = 2.8711395266e-03_wp 1409 BPE002 = 5.3661089288e-04_wp 1340 1410 ! 1341 1411 CASE( 1 ) !== Simplified EOS ==!
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