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

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Efficient implementation of weighted ENO schemes

G. Jiang, C.-W. Shu
Journal of Computational Physics, • 1996
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