A Well-Balanced Kinetic Scheme for Gas Dynamic Equations under Gravitational Field

@inproceedings{Xu2010AWK,
  title={A Well-Balanced Kinetic Scheme for Gas Dynamic Equations under Gravitational Field},
  author={Kun Xu and Jun Luo and Songze Chen},
  year={2010}
}
In this paper, a well-balanced kinetic scheme for the gas dynamic equations under gravitational field is developed. In order to construct such a scheme, the physical process of particles transport through a potential barrier at a cell interface is considered, where the amount of particle penetration and reflection is evaluated according to the incident particle velocity. This work extends the approach of Perthame and Simeoni for the shallow water equations [Calcolo, 38 (2001), pp. 201231] to… CONTINUE READING

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