Geodesic
A Cartesian grid method for the numerical modeling of shock wave propagation in domains of complex shape
Numerical methods and programming, Tome 17 (2016) no. 4, pp. 353-364.

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This paper is devoted to the development, software implementation, and quantitative estimation of a numerical algorithm based on the Cartesian grid method for the mathematical modeling of shock wave propagation in domains of complex shape with curvilinear boundaries. A detailed description of an algorithm based on the method of “h-boxes” is given. The efficiency of the algorithm is analyzed on the problems of regular and single Mach reflection of a shock wave from a wedge as well as on the problem of shock wave/cylinder interaction.
Keywords: mathematical modeling, gas dynamics, shock wave, Godunov method, Cartesian grid method. 
@article{VMP_2016_17_4_a0,
     author = {D. A. Sidorenko and P. S. Utkin},
     title = {A {Cartesian} grid method for the numerical modeling of shock wave propagation in domains of complex shape},
     journal = {Numerical methods and programming},
     pages = {353--364},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2016_17_4_a0/}
}
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D. A. Sidorenko; P. S. Utkin. A Cartesian grid method for the numerical modeling of shock wave propagation in domains of complex shape. Numerical methods and programming, Tome 17 (2016) no. 4, pp. 353-364. http://geodesic.mathdoc.fr/item/VMP_2016_17_4_a0/