diff --git a/latex/NEMO/subfiles/chap_DYN.tex b/latex/NEMO/subfiles/chap_DYN.tex index 2f3be49dd9a6311b3a8916e966c71871c38a8e45..b0a735d4f045efd3bf285880e18db00a719cfc76 100644 --- a/latex/NEMO/subfiles/chap_DYN.tex +++ b/latex/NEMO/subfiles/chap_DYN.tex @@ -454,22 +454,7 @@ it is is centred in time (\textit{now} velocity) at stage 2 and 3. \subsection[Flux form advection term (\textit{dynadv.F90})]{Flux form advection term (\protect\mdl{dynadv})} \label{subsec:DYN_adv_flux} -The discrete expression of the advection term is given by: -\[ - % \label{eq:DYN_adv} - \left\{ - \begin{aligned} - \frac{1}{e_{1u}\,e_{2u}\,e_{3u}} - \left( \delta_{i+1/2} \left[ \overline{e_{2u}\,e_{3u}\;u }^{i} \ u_t \right] - + & \delta_{j} \left[ \overline{e_{1u}\,e_{3u}\;v }^{i+1/2} \ u_f \right] \right. \\ - \left. + & \delta_{k} \left[ \overline{e_{1w}\,e_{2w}\;w}^{i+1/2} \ u_{uw} \right] \right) \\[10pt] - \frac{1}{e_{1v}\,e_{2v}\,e_{3v}} - \left( \delta_{i} \left[ \overline{e_{2u}\,e_{3u }\;u }^{j+1/2} \ v_f \right] - + & \delta_{j+1/2} \left[ \overline{e_{1u}\,e_{3u }\;v }^{i} \ v_t \right] \right. \\ - \left. + & \delta_{k} \left[ \overline{e_{1w}\,e_{2w}\;w}^{j+1/2} \ v_{vw} \right] \right) \\ - \end{aligned} - \right. -\] + Two advection schemes are available: a $2^{nd}$ order centered finite difference scheme, CEN2,