Geodesic
Application of an implicit scheme of the discontinuous Galerkin method to solving gas dynamics problems on NVIDIA graphic accelerators
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 15 (2022) no. 2, pp. 86-99

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

The paper proposes an implicit scheme of the discontinuous Galerkin method for solving the gas dynamics equations on unstructured grids. The implicit scheme is based on the representation of the system of grid equations in "delta form". To solve the SLAE obtained during the approximation of the initial equations, solvers from the NVIDIA AmgX library are used. To verify the numerical algorithm, we calculate the flow of an inviscid compressible gas in a flat channel with a wedge and solve the problem of a viscous gas flow around a symmetric airfoil NACA0012. The results obtained are compared with the experimental results and the known numerical solutions to the presented problems. We conclude that the numerical and experimental data are in good agreement.
Keywords: gas dynamics equations, discontinuous Galerkin method, NVIDIA AmgX.
Mots-clés : implicit scheme 
@article{VYURU_2022_15_2_a6,
     author = {V. F. Masyagin and R. V. Zhalnin and V. F. Tishkin},
     title = {Application of an implicit scheme of the discontinuous {Galerkin} method to solving gas dynamics problems on  {NVIDIA}  graphic accelerators},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {86--99},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2022_15_2_a6/}
}
TY  - JOUR
AU  - V. F. Masyagin
AU  - R. V. Zhalnin
AU  - V. F. Tishkin
TI  - Application of an implicit scheme of the discontinuous Galerkin method to solving gas dynamics problems on  NVIDIA  graphic accelerators
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2022
SP  - 86
EP  - 99
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VYURU_2022_15_2_a6/
LA  - ru
ID  - VYURU_2022_15_2_a6
ER  - 
%0 Journal Article
%A V. F. Masyagin
%A R. V. Zhalnin
%A V. F. Tishkin
%T Application of an implicit scheme of the discontinuous Galerkin method to solving gas dynamics problems on  NVIDIA  graphic accelerators
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2022
%P 86-99
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VYURU_2022_15_2_a6/
%G ru
%F VYURU_2022_15_2_a6
V. F. Masyagin; R. V. Zhalnin; V. F. Tishkin. Application of an implicit scheme of the discontinuous Galerkin method to solving gas dynamics problems on  NVIDIA  graphic accelerators. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 15 (2022) no. 2, pp. 86-99. http://geodesic.mathdoc.fr/item/VYURU_2022_15_2_a6/