Changeset 11435 for NEMO/trunk/doc/latex/NEMO/subfiles/annex_A.tex
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 20190814T14:45:08+02:00 (3 years ago)
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NEMO/trunk/doc/latex/NEMO/subfiles/annex_A.tex
r11337 r11435 9 9 \label{apdx:A} 10 10 11 \ minitoc11 \chaptertoc 12 12 13 13 \vfill … … 31 31 32 32 In order to establish the set of Primitive Equation in curvilinear $s$coordinates 33 (\ie an orthogonal curvilinear coordinate in the horizontal and33 (\ie\ an orthogonal curvilinear coordinate in the horizontal and 34 34 an Arbitrary Lagrangian Eulerian (ALE) coordinate in the vertical), 35 35 we start from the set of equations established in \autoref{subsec:PE_zco_Eq} for … … 329 329 \] 330 330 This leads to the $s$coordinate formulation of the total $z$coordinate time derivative, 331 \ie the total $s$coordinate time derivative :331 \ie\ the total $s$coordinate time derivative : 332 332 \begin{align} 333 333 \label{apdx:A_sco_Dt_vect} … … 368 368 % 369 369 Introducing the vertical scale factor inside the horizontal derivative of the first two terms 370 (\ie the horizontal divergence), it becomes :370 (\ie\ the horizontal divergence), it becomes : 371 371 \begin{align*} 372 372 { … … 411 411 \end{align*} 412 412 which leads to the $s$coordinate flux formulation of the total $s$coordinate time derivative, 413 \ie the total $s$coordinate time derivative in flux form:413 \ie\ the total $s$coordinate time derivative in flux form: 414 414 \begin{flalign} 415 415 \label{apdx:A_sco_Dt_flux} … … 569 569 in particular the pressure gradient. 570 570 By contrast, $\omega$ is not $w$, the third component of the velocity, but the diasurface velocity component, 571 \ie the volume flux across the moving $s$surfaces per unit horizontal area.571 \ie\ the volume flux across the moving $s$surfaces per unit horizontal area. 572 572 573 573
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