Centered-Potential Regularization for the Advection Upstream Splitting Method

@article{Parisot2016CenteredPotentialRF,
  title={Centered-Potential Regularization for the Advection Upstream Splitting Method},
  author={Martin Parisot and Jean-Paul Vila},
  journal={SIAM J. Numerical Analysis},
  year={2016},
  volume={54},
  pages={3083-3104}
}
  • Martin Parisot, Jean-Paul Vila
  • Published in SIAM J. Numerical Analysis 2016
  • Mathematics, Computer Science
  • This paper is devoted to a centered IMEX scheme in a multidimensional framework for a wide class of multicomponent and isentropic flows. The proposed strategy is based on a regularized model where the advection velocity is modified by the gradient of the potential of the conservative forces in both mass and momentum equations. The stability of the scheme is ensured by the dissipation of mechanic energy, which stands for a mathematical entropy, under an advective CFL condition. The main physical… CONTINUE READING

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