1 | clear all; |
---|
2 | close all; |
---|
3 | |
---|
4 | |
---|
5 | write_u=0;%if you want to write the velocities (true and background) to YAO DAT file |
---|
6 | write_coefs=0;%if you want to write the filters coefs |
---|
7 | %------------GRID-------------------------------------------------------% |
---|
8 | |
---|
9 | %for plotting |
---|
10 | |
---|
11 | Nlat=58; %Phi |
---|
12 | Nlong=87; %Lambda |
---|
13 | %The grid in degrees |
---|
14 | load 'meshgrid2.dat'; |
---|
15 | |
---|
16 | GR_long=reshape(meshgrid2(:,1),Nlong,Nlat); %will give a Nlong by Nlat matrix |
---|
17 | %containing the long of the points |
---|
18 | |
---|
19 | GR_lat=reshape(meshgrid2(:,2),Nlong,Nlat); %will give a Nlong by Nlat matrix |
---|
20 | %containing the lat of the points |
---|
21 | |
---|
22 | |
---|
23 | |
---|
24 | |
---|
25 | |
---|
26 | |
---|
27 | %-----------The velocities U and V---------------------------------------% |
---|
28 | |
---|
29 | |
---|
30 | |
---|
31 | %Load directly from AVISO folder where the u s for the whole mediterranean: |
---|
32 | |
---|
33 | |
---|
34 | |
---|
35 | %UTRUE=the first week |
---|
36 | |
---|
37 | U1=ncread('../obs_aviso/dt_ref_med_merged_madt_uv_20080102_20080102_20100503.nc','Grid_0001'); |
---|
38 | uaviso1=U1(1:58,end-86:end)./100; %choose the eatern med and make it in m/s |
---|
39 | |
---|
40 | V1=ncread('../obs_aviso/dt_ref_med_merged_madt_uv_20080102_20080102_20100503.nc','Grid_0002'); |
---|
41 | vaviso1=V1(1:58,end-86:end)./100; %choose the eatern med and make it in m/s |
---|
42 | |
---|
43 | |
---|
44 | |
---|
45 | %U the second week |
---|
46 | |
---|
47 | U2=ncread('../obs_aviso/dt_ref_med_merged_madt_uv_20080109_20080109_20100503.nc','Grid_0001'); |
---|
48 | uaviso2=U2(1:58,end-86:end)./100; |
---|
49 | |
---|
50 | V2=ncread('../obs_aviso/dt_ref_med_merged_madt_uv_20080109_20080109_20100503.nc','Grid_0002'); |
---|
51 | vaviso2=V2(1:58,end-86:end)./100; |
---|
52 | |
---|
53 | |
---|
54 | %do the mask manually: |
---|
55 | II1=find(isfinite(uaviso1)==0); |
---|
56 | uaviso1(II1)=0; |
---|
57 | II2=find(isfinite(uaviso2)==0); |
---|
58 | uaviso2(II2)=0; |
---|
59 | |
---|
60 | JJ1=find(isfinite(vaviso1)==0); |
---|
61 | vaviso1(JJ1)=0; |
---|
62 | JJ2=find(isfinite(vaviso2)==0); |
---|
63 | vaviso2(JJ2)=0; |
---|
64 | |
---|
65 | |
---|
66 | %interpolate to get the field every 2 h during the first week, in case need velocity in between: |
---|
67 | Nt=7*24/2; %one week in units of delta t |
---|
68 | for jt=1:Nt+1 |
---|
69 | umod(:,:,jt)=(uaviso1*(Nt+1-jt)./Nt)+ (uaviso2*(jt-1)/Nt); |
---|
70 | vmod(:,:,jt)=(vaviso1*(Nt+1-jt)./Nt)+ (vaviso2*(jt-1)/Nt); |
---|
71 | end |
---|
72 | |
---|
73 | |
---|
74 | |
---|
75 | |
---|
76 | |
---|
77 | |
---|
78 | %change grid from degrees to uniteless |
---|
79 | |
---|
80 | R_earth=6371229; %in meters |
---|
81 | delta_x=zeros(Nlong,Nlat); |
---|
82 | delta_y=zeros(Nlong,Nlat); |
---|
83 | |
---|
84 | for ilon=1:Nlong-1; |
---|
85 | for jlat=1:Nlat-1; |
---|
86 | |
---|
87 | delta_x(ilon,jlat)=R_earth*(2*pi/360)*(GR_long(ilon+1,jlat)-GR_long(ilon,jlat))... |
---|
88 | .*cos(2*pi*GR_lat(ilon,jlat)/360); |
---|
89 | delta_y(ilon,jlat)=R_earth*(2*pi/360)*(GR_lat(ilon,jlat+1)-GR_lat(ilon,jlat)); |
---|
90 | |
---|
91 | |
---|
92 | end |
---|
93 | end |
---|
94 | |
---|
95 | |
---|
96 | |
---|
97 | delta_x(Nlong,1:Nlat)=delta_x(Nlong-1,1:Nlat); |
---|
98 | delta_y(Nlong,1:Nlat)=delta_y(Nlong-1,1:Nlat); |
---|
99 | |
---|
100 | |
---|
101 | delta_x(1:Nlong,Nlat)=delta_x(1:Nlong,Nlat-1); |
---|
102 | delta_y(1:Nlong,Nlat)=delta_y(1:Nlong,Nlat-1); |
---|
103 | |
---|
104 | |
---|
105 | |
---|
106 | %choose UTRUE=Ufirst week |
---|
107 | |
---|
108 | uu=umod(:,:,1)./delta_x.'; %u has units of pers second |
---|
109 | vv=vmod(:,:,1)./delta_y.'; |
---|
110 | |
---|
111 | %Choose Uback=Uafter 3days |
---|
112 | |
---|
113 | uu_pert=umod(:,:,35)./delta_x.'; |
---|
114 | vv_pert=vmod(:,:,35)./delta_y.'; |
---|
115 | |
---|
116 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
---|
117 | |
---|
118 | |
---|
119 | %%%%%%%%%%%%%%%%%%%PUT U in YAO format%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
---|
120 | |
---|
121 | %create a Nlat*Nlong by 5 matrix first |
---|
122 | u_yao1=reshape(uu, Nlong*Nlat,1); |
---|
123 | v_yao1=reshape(vv, Nlong*Nlat,1); |
---|
124 | |
---|
125 | up_yao1=reshape(uu_pert, Nlong*Nlat,1); |
---|
126 | vp_yao1=reshape(vv_pert, Nlong*Nlat,1); |
---|
127 | %create the vectors rehsaped |
---|
128 | cd1=[]; for k=1:Nlong; cd1=[cd1; k*ones(Nlat,1)]; end |
---|
129 | cd2=repmat([1:1:Nlat].',Nlong,1); |
---|
130 | |
---|
131 | Yao_u=[ ones(Nlong*Nlat,1) cd1 cd2 u_yao1]; |
---|
132 | Yao_v=[ ones(Nlong*Nlat,1) cd1 cd2 v_yao1]; |
---|
133 | |
---|
134 | Yao_up=[ ones(Nlong*Nlat,1) cd1 cd2 up_yao1]; |
---|
135 | Yao_vp=[ ones(Nlong*Nlat,1) cd1 cd2 vp_yao1]; |
---|
136 | |
---|
137 | if (write_u==1) |
---|
138 | |
---|
139 | dlmwrite('../obs_float/uzero.dat',Yao_u,'\t'); |
---|
140 | dlmwrite('../obs_float/vzero.dat',Yao_v,'\t'); |
---|
141 | %save UV_0.mat uu vv; |
---|
142 | dlmwrite('../obs_float/unext3d.dat',Yao_up,'\t'); |
---|
143 | dlmwrite('../obs_float/vnext3d.dat',Yao_vp,'\t'); |
---|
144 | %save UVnext3d.mat uu_pert vv_pert cc1 cc2; |
---|
145 | end; |
---|
146 | |
---|
147 | |
---|
148 | |
---|
149 | |
---|
150 | |
---|
151 | |
---|
152 | |
---|
153 | %---------------------FILTER--------------------------------------------% |
---|
154 | |
---|
155 | %%%%%%%%%%%Get filter coeff%%%%%%%%% |
---|
156 | |
---|
157 | |
---|
158 | %length of filter in m, you can change this to 25 000 or 15 000, etc.. |
---|
159 | %WHEN you change this, 2 important numbers for the YAO code change, the |
---|
160 | %filter order and the filter's time step. |
---|
161 | lfil=20000; |
---|
162 | |
---|
163 | |
---|
164 | |
---|
165 | load 'mask.dat'; |
---|
166 | mask2=reshape(mask,87,58); |
---|
167 | |
---|
168 | umask=zeros(Nlong,Nlat); vmask=umask; |
---|
169 | for i=1:Nlong-1 |
---|
170 | for j=1:Nlat-1 |
---|
171 | umask(i,j)=mask2(i,j).*mask2(i+1,j); |
---|
172 | vmask(i,j)=mask2(i,j).*mask2(i,j+1); |
---|
173 | end |
---|
174 | end |
---|
175 | |
---|
176 | [minx gg1]=min(min(delta_x)); |
---|
177 | [miny gg2]=min(min(delta_y)); |
---|
178 | itxmin=floor(2*lfil*lfil./minx.^2); |
---|
179 | itymin=floor(2*lfil*lfil./miny.^2); |
---|
180 | |
---|
181 | |
---|
182 | filter_order=ceil((max(itxmin,itymin)+1)./2) |
---|
183 | %THIS IS AN IMPORTANT NUMBER, when you change the filterlength it will |
---|
184 | %change. IN YAO, this variable is |
---|
185 | %defval OFIL 4 //order of the filter |
---|
186 | %in the floater_delta.d file. SO just copy th evalue from here |
---|
187 | |
---|
188 | |
---|
189 | |
---|
190 | |
---|
191 | |
---|
192 | |
---|
193 | |
---|
194 | |
---|
195 | nbitfil=filter_order*2;%nb of filter passes |
---|
196 | %nb of filter passes |
---|
197 | |
---|
198 | |
---|
199 | |
---|
200 | dtfil=0.5*lfil*lfil./nbitfil %filter time step |
---|
201 | %%%%%%THIS NUMBER IS ALSO IMPORTANT AS IT GOES IN THE floater.h code in the |
---|
202 | %%%%%%variable YREAL dtfil=...; As you change the filter length it will |
---|
203 | %%%%%%change |
---|
204 | |
---|
205 | |
---|
206 | %%%%%%filter normalization coefs%%%%%%%%%%%%%%%%& |
---|
207 | fileu=umask./sqrt(delta_x.*delta_y); |
---|
208 | filev=vmask./sqrt(delta_x.*delta_y); |
---|
209 | |
---|
210 | |
---|
211 | dx=delta_x; |
---|
212 | dy=delta_y; |
---|
213 | c1=zeros(Nlong,Nlat); c2=c1; c3=c1; c4=c1; c5=c1; c6=c1; c7=c1; c8=c1; c9=c1; |
---|
214 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
---|
215 | %ucoefs |
---|
216 | for i=2:Nlong-1 |
---|
217 | for j=2:Nlat-1; |
---|
218 | c1(i,j) = -1/dx(i,j)^2-dy(i,j)/(dx(i,j)*dx(i+1,j)*dy(i+1,j))-mask2(i,j-1)*mask2(i,j)*mask2(i+1,j-1)*mask2(i+1,j)*dx(i,j)/(dy(i,j)*dx(i,j-1)*dy(i,j-1))-mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)/dy(i,j)^2; |
---|
219 | c2(i,j) = 1/(dx(i,j)*dx(i+1,j)); |
---|
220 | c3(i,j) = mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)*dx(i,j+1)/(dy(i,j)^2*dx(i,j)); |
---|
221 | c4(i,j) = mask2(i,j-1)*mask2(i,j)*mask2(i+1,j-1)*mask2(i+1,j)/(dy(i,j)*dy(i,j-1)); |
---|
222 | c5(i,j) = dy(i-1,j)/(dx(i,j)^2*dy(i,j)); |
---|
223 | c6(i,j) = -1/(dx(i,j)*dy(i,j))+mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)/(dx(i,j)*dy(i,j)); |
---|
224 | c7(i,j) = mask2(i,j-1)*mask2(i,j)*mask2(i+1,j-1)*mask2(i+1,j)*dy(i+1,j-1)/(dy(i,j)*dx(i,j-1)*dy(i,j-1))-dx(i+1,j-1)/(dx(i,j)*dx(i+1,j)*dy(i+1,j)); |
---|
225 | c8(i,j) = -mask2(i,j-1)*mask2(i,j)*mask2(i+1,j-1)*mask2(i+1,j)/(dy(i,j)*dx(i,j-1))+dx(i,j-1)/(dx(i,j)^2*dy(i,j)); |
---|
226 | c9(i,j) = -mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)*dy(i+1,j)/(dy(i,j)^2*dx(i,j))+1/(dx(i,j)*dy(i+1,j)); |
---|
227 | end |
---|
228 | end |
---|
229 | c1=c1.*umask; c2=c2.*umask; c3=c3.*umask; |
---|
230 | c4=c4.*umask; c5=c5.*umask; c6=c6.*umask; |
---|
231 | c7=c7.*umask; c8=c8.*umask; c9=c9.*umask; |
---|
232 | |
---|
233 | |
---|
234 | |
---|
235 | |
---|
236 | |
---|
237 | |
---|
238 | |
---|
239 | %vcoefs |
---|
240 | d1=zeros(Nlong,Nlat); d2=d1; d3=d1; d4=d1; d5=d1; d6=d1; d7=d1; d8=d1; d9=d1; |
---|
241 | for i=2:Nlong-1 |
---|
242 | for j=2:Nlat-1; |
---|
243 | d1(i,j) = -mask2(i-1,j)*mask2(i-1,j+1)*mask2(i,j)*mask2(i,j+1)*dy(i,j)/(dx(i,j)*dx(i-1,j)*dy(i-1,j))-mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)/dx(i,j)^2-1/dy(i,j)^2-dx(i,j)/(dy(i,j)*dx(i,j+1)*dy(i,j+1)); |
---|
244 | d2(i,j) = mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)*dy(i+1,j)/(dx(i,j)^2*dy(i,j)); |
---|
245 | d3(i,j) = 1/(dy(i,j)*dy(i,j+1)); |
---|
246 | d4(i,j) = dx(i,j-1)/(dy(i,j)^2*dx(i,j)); |
---|
247 | d5(i,j) = mask2(i-1,j)*mask2(i-1,j+1)*mask2(i,j)*mask2(i,j+1)/(dx(i,j)*dx(i-1,j)); |
---|
248 | d6(i,j) = -1/(dx(i,j)*dy(i,j))+mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)/(dx(i,j)*dy(i,j)); |
---|
249 | d7(i,j) = -mask2(i,j)*mask2(i,j+1)*mask2(i+1,j)*mask2(i+1,j+1)*dx(i,j+1)/(dx(i,j)^2*dy(i,j))+1/(dy(i,j)*dx(i,j+1)); |
---|
250 | d8(i,j) = dy(i-1,j)/(dy(i,j)^2*dx(i,j))-mask2(i-1,j)*mask2(i-1,j+1)*mask2(i,j)*mask2(i,j+1)/(dx(i,j)*dy(i-1,j)); |
---|
251 | d9(i,j) = -dy(i-1,j+1)/(dy(i,j)*dx(i,j+1)*dy(i,j+1))+mask2(i-1,j)*mask2(i-1,j+1)*mask2(i,j)*mask2(i,j+1)*dx(i-1,j+1)/(dx(i,j)*dx(i-1,j)*dy(i-1,j)); |
---|
252 | end |
---|
253 | end |
---|
254 | |
---|
255 | |
---|
256 | d1=d1.*vmask; d2=d2.*vmask; d3=d3.*vmask; |
---|
257 | d4=d4.*vmask; d5=d5.*vmask; d6=d6.*vmask; |
---|
258 | d7=d7.*vmask; d8=d8.*vmask; d9=d9.*vmask; |
---|
259 | |
---|
260 | |
---|
261 | %save into yao format |
---|
262 | %get dt value and order of filter |
---|
263 | %put mask as ones in yao put a fake mask |
---|
264 | %load the fileu /v as the norm |
---|
265 | |
---|
266 | |
---|
267 | %%%%%%%%%%%%%%%%%SAVE THESE COEF INTO YAO FORMAT%%%%%%%%%%%%%%%%%% |
---|
268 | |
---|
269 | %1------------------PUT U in YAO format-------------------------------------% |
---|
270 | %1-CC |
---|
271 | c1_yao=reshape(c1.', Nlong*Nlat,1); |
---|
272 | c2_yao=reshape(c2.', Nlong*Nlat,1); |
---|
273 | c3_yao=reshape(c3.', Nlong*Nlat,1); |
---|
274 | c4_yao=reshape(c4.', Nlong*Nlat,1); |
---|
275 | c5_yao=reshape(c5.', Nlong*Nlat,1); |
---|
276 | c6_yao=reshape(c6.', Nlong*Nlat,1); |
---|
277 | c7_yao=reshape(c7.', Nlong*Nlat,1); |
---|
278 | c8_yao=reshape(c8.', Nlong*Nlat,1); |
---|
279 | c9_yao=reshape(c9.', Nlong*Nlat,1); |
---|
280 | |
---|
281 | %create the i j indices |
---|
282 | cd1=[]; for k=1:Nlong; cd1=[cd1; k*ones(Nlat,1)]; end |
---|
283 | cd2=repmat([1:1:Nlat].',Nlong,1); |
---|
284 | |
---|
285 | Yao_CC=[ ones(Nlong*Nlat,1) cd1 cd2 c1_yao;... |
---|
286 | 2*ones(Nlong*Nlat,1) cd1 cd2 c2_yao;... |
---|
287 | 3*ones(Nlong*Nlat,1) cd1 cd2 c3_yao; ... |
---|
288 | 4*ones(Nlong*Nlat,1) cd1 cd2 c4_yao;... |
---|
289 | 5*ones(Nlong*Nlat,1) cd1 cd2 c5_yao;... |
---|
290 | 6*ones(Nlong*Nlat,1) cd1 cd2 c6_yao;... |
---|
291 | 7*ones(Nlong*Nlat,1) cd1 cd2 c7_yao;... |
---|
292 | 8*ones(Nlong*Nlat,1) cd1 cd2 c8_yao;... |
---|
293 | 9*ones(Nlong*Nlat,1) cd1 cd2 c9_yao;]; |
---|
294 | |
---|
295 | %2-DD |
---|
296 | d1_yao=reshape(d1.', Nlong*Nlat,1); |
---|
297 | d2_yao=reshape(d2.', Nlong*Nlat,1); |
---|
298 | d3_yao=reshape(d3.', Nlong*Nlat,1); |
---|
299 | d4_yao=reshape(d4.', Nlong*Nlat,1); |
---|
300 | d5_yao=reshape(d5.', Nlong*Nlat,1); |
---|
301 | d6_yao=reshape(d6.', Nlong*Nlat,1); |
---|
302 | d7_yao=reshape(d7.', Nlong*Nlat,1); |
---|
303 | d8_yao=reshape(d8.', Nlong*Nlat,1); |
---|
304 | d9_yao=reshape(d9.', Nlong*Nlat,1); |
---|
305 | |
---|
306 | |
---|
307 | |
---|
308 | Yao_DD=[ ones(Nlong*Nlat,1) cd1 cd2 d1_yao;... |
---|
309 | 2*ones(Nlong*Nlat,1) cd1 cd2 d2_yao;... |
---|
310 | 3*ones(Nlong*Nlat,1) cd1 cd2 d3_yao; ... |
---|
311 | 4*ones(Nlong*Nlat,1) cd1 cd2 d4_yao;... |
---|
312 | 5*ones(Nlong*Nlat,1) cd1 cd2 d5_yao;... |
---|
313 | 6*ones(Nlong*Nlat,1) cd1 cd2 d6_yao;... |
---|
314 | 7*ones(Nlong*Nlat,1) cd1 cd2 d7_yao;... |
---|
315 | 8*ones(Nlong*Nlat,1) cd1 cd2 d8_yao;... |
---|
316 | 9*ones(Nlong*Nlat,1) cd1 cd2 d9_yao;]; |
---|
317 | |
---|
318 | %3- Fake mask of ones, to remove from yao later! |
---|
319 | maskk=ones(Nlat,Nlong); |
---|
320 | mask_yao=reshape(maskk, Nlong*Nlat,1); |
---|
321 | Yao_mask=[ ones(Nlong*Nlat,1) cd1 cd2 mask_yao]; |
---|
322 | |
---|
323 | %4- The normalization after finishing the filter |
---|
324 | norm_u=fileu.'; |
---|
325 | nu_yao=reshape(norm_u, Nlong*Nlat,1); |
---|
326 | Yao_nu=[ ones(Nlong*Nlat,1) cd1 cd2 nu_yao]; |
---|
327 | |
---|
328 | norm_v=filev.'; |
---|
329 | nv_yao=reshape(norm_v, Nlong*Nlat,1); |
---|
330 | Yao_nv=[ ones(Nlong*Nlat,1) cd1 cd2 nv_yao]; |
---|
331 | |
---|
332 | %2-Save |
---|
333 | |
---|
334 | if (write_coefs==1) |
---|
335 | |
---|
336 | dlmwrite('../obs_float/CC.dat',Yao_CC,'\t'); |
---|
337 | dlmwrite('../obs_float/DD.dat',Yao_DD,'\t'); |
---|
338 | dlmwrite('../obs_float/Mask.dat',Yao_mask,'\t'); |
---|
339 | dlmwrite('../obs_float/NU.dat',Yao_nu,'\t'); |
---|
340 | dlmwrite('../obs_float/NV.dat',Yao_nv,'\t'); |
---|
341 | |
---|
342 | end; |
---|
343 | |
---|
344 | %%%%%TO load these in YAO, you need to add these lines, in the ini file (if |
---|
345 | %there is a filter option_ |
---|
346 | %loadstate cfil 0 ij 0 A 1 ../obs_float/CC.dat D |
---|
347 | %loadstate dfil 0 ij 0 A 1 ../obs_float/DD.dat D |
---|
348 | %loadstate mask 0 ij 0 A 1 ../obs_float/Mask.dat D |
---|
349 | %loadstate u_norm 0 ij 0 A 1 ../obs_float/NU.dat D |
---|
350 | %loadstate v_norm 0 ij 0 A 1 ../obs_float/NV.dat D |
---|
351 | |
---|
352 | |
---|
353 | |
---|
354 | |
---|
355 | |
---|
356 | |
---|
357 | |
---|
358 | |
---|
359 | |
---|
360 | |
---|
361 | |
---|
362 | |
---|
363 | |
---|