SFEMaNS  version 4.1 (work in progress) Reference documentation for SFEMaNS
main.h
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125 <tr valign=top>
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127  in construction
128  </td>
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130  This section follows the structure/tree of the code and proposes a description of the fortran files
131  involved in the initialization process and in the approximation of an equation
132  (temperature, mass, Navier-Stokes and Maxwell).
133  </td>
134 </tr>
135 </table>
136 */
section doc_intro_frame_work_num_app Numerical approximation subsection doc_intro_fram_work_num_app_Fourier_FEM Fourier Finite element representation The SFEMaNS code uses a hybrid Fourier Finite element formulation The Fourier decomposition allows to approximate the problemâ€™s solutions for each Fourier mode modulo nonlinear terms that are made explicit The variables are then approximated on a meridian section of the domain with a finite element method The numerical approximation of a function f $f f is written in the following generic f with f$t f the time and f \$M f the number of Fourier modes considered The unknown f f f f f f f f Omega_v f and f Omega f We also consider f a penalty method of the divergence of the velocity field is also implemented The method proceeds as follows
Definition: doc_intro.h:218