Geodesic
A Cartesian grid method for the three-dimensional numerical simulation of shock wave propagation in complex-shape domains with moving boundaries
Numerical methods and programming, Tome 20 (2019) no. 3, pp. 309-322.

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

This paper is devoted to the development and quantitative estimation of a numerical algorithm based on the Cartesian grid method for the three-dimensional mathematical simulation of shock wave propagation in domains of complex varying shapes. A detailed description of the numerical algorithm is presented. Its key element is the specification of numerical fluxes through the edges that are common for the inner regular cells of the computational domain and the outer cells intersected by the boundaries of the bodies. The efficiency of the algorithm is shown by comparing the numerical and experimental data in the problems of interaction of a shock wave with a fixed sphere and a moving particle.
Keywords: mathematical modeling, three-dimensional Euler equations, Cartesian grid method, shock wave, mathematical modeling, three-dimensional Euler equations, Cartesian grid method, shock wave. 
@article{VMP_2019_20_3_a10,
     author = {V. V. Elesin and D. A. Sidorenko and P. S. Utkin},
     title = {A {Cartesian} grid method for the three-dimensional numerical simulation of shock wave propagation in complex-shape domains with moving boundaries},
     journal = {Numerical methods and programming},
     pages = {309--322},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a10/}
}
TY  - JOUR
AU  - V. V. Elesin
AU  - D. A. Sidorenko
AU  - P. S. Utkin
TI  - A Cartesian grid method for the three-dimensional numerical simulation of shock wave propagation in complex-shape domains with moving boundaries
JO  - Numerical methods and programming
PY  - 2019
SP  - 309
EP  - 322
VL  - 20
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a10/
LA  - ru
ID  - VMP_2019_20_3_a10
ER  - 
%0 Journal Article
%A V. V. Elesin
%A D. A. Sidorenko
%A P. S. Utkin
%T A Cartesian grid method for the three-dimensional numerical simulation of shock wave propagation in complex-shape domains with moving boundaries
%J Numerical methods and programming
%D 2019
%P 309-322
%V 20
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a10/
%G ru
%F VMP_2019_20_3_a10
V. V. Elesin; D. A. Sidorenko; P. S. Utkin. A Cartesian grid method for the three-dimensional numerical simulation of shock wave propagation in complex-shape domains with moving boundaries. Numerical methods and programming, Tome 20 (2019) no. 3, pp. 309-322. http://geodesic.mathdoc.fr/item/VMP_2019_20_3_a10/