High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields

@article{Xing2013HighOW,
title={High Order Well-Balanced WENO Scheme for the Gas Dynamics Equations Under Gravitational Fields},
author={Yulong Xing and Chi-Wang Shu},
journal={J. Sci. Comput.},
year={2013},
volume={54},
pages={645-662}
}

The gas dynamics equations, coupled with a static gravitational field, admit the hydrostatic balance where the flux produced by the pressure is exactly canceled by the gravitational source term. Many astrophysical problems involve the hydrodynamical evolution in a gravitational field, therefore it is essential to correctly capture the effect of gravitational force in the simulations. Improper treatment of the gravitational force can lead to a solution which either oscillates around the… CONTINUE READING