Geodesic
On a modification of the Rusanov solver
Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 3, pp. 53-64

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We describe the implementation of a modification of the Rusanov solver for the equations of special relativistic magnetic hydrodynamics. The particularity of the relativistic hydrodynamics equations, including a magnetic field, is a natural constraint on the admissible wave propagation velocity, which allows us to construct a fairly simple modification of the Rusanov solver using the maximum wave propagation velocity equal to the speed of light.
Keywords: computational astrophysics, relativistic magnetic hydrodynamics, Rusanov solver. . 
@article{SJIM_2020_23_3_a4,
     author = {I. M. Kulikov},
     title = {On a modification of the {Rusanov} solver},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {53--64},
     publisher = {mathdoc},
     volume = {23},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2020_23_3_a4/}
}
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I. M. Kulikov. On a modification of the Rusanov solver. Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 3, pp. 53-64. http://geodesic.mathdoc.fr/item/SJIM_2020_23_3_a4/