Geodesic
Explicit-implicit scheme CABARETI--NH for the equations of a weakly compressible fluid dynamics
Numerical methods and programming, Tome 24 (2023) no. 2, pp. 152-169.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, an explicit-implicit conservative-characteristic scheme CABARETI–NH (CABARET Implicit Non-Hydrostatic), based on the CABARET scheme, for a hyperbolised system of Navier–Stokes equations is considered. Implicitness along one spatial direction allows the time step on computational grids with a large aspect ratio of cells to be significantly increased. A hyperbolic sweep method is used to resolve the introduced implicit part of the scheme. This keeps the same level of computational efficiency as explicit schemes. The results of model validation on the laboratory experiment of three-dimensional gravitational flow of a stratified fluid are presented.
Keywords: non-hydrostatic model, Eulerian-Lagrangian coordinates, weakly compressible fluid, hyperbolic type equations, free-surface, conservative-characteristic schemes. 
@article{VMP_2023_24_2_a2,
     author = {V. M. Goloviznin and P. A. Maiorov and N. A. Afanasiev and P. A. Maiorov and A. V. Solov'ev},
     title = {Explicit-implicit scheme {CABARETI--NH} for the equations of a weakly compressible fluid dynamics},
     journal = {Numerical methods and programming},
     pages = {152--169},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2023_24_2_a2/}
}
TY  - JOUR
AU  - V. M. Goloviznin
AU  - P. A. Maiorov
AU  - N. A. Afanasiev
AU  - P. A. Maiorov
AU  - A. V. Solov'ev
TI  - Explicit-implicit scheme CABARETI--NH for the equations of a weakly compressible fluid dynamics
JO  - Numerical methods and programming
PY  - 2023
SP  - 152
EP  - 169
VL  - 24
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2023_24_2_a2/
LA  - ru
ID  - VMP_2023_24_2_a2
ER  - 
%0 Journal Article
%A V. M. Goloviznin
%A P. A. Maiorov
%A N. A. Afanasiev
%A P. A. Maiorov
%A A. V. Solov'ev
%T Explicit-implicit scheme CABARETI--NH for the equations of a weakly compressible fluid dynamics
%J Numerical methods and programming
%D 2023
%P 152-169
%V 24
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2023_24_2_a2/
%G ru
%F VMP_2023_24_2_a2
V. M. Goloviznin; P. A. Maiorov; N. A. Afanasiev; P. A. Maiorov; A. V. Solov'ev. Explicit-implicit scheme CABARETI--NH for the equations of a weakly compressible fluid dynamics. Numerical methods and programming, Tome 24 (2023) no. 2, pp. 152-169. http://geodesic.mathdoc.fr/item/VMP_2023_24_2_a2/