Numerical approximations of the 10-moment Gaussian closure

  title={Numerical approximations of the 10-moment Gaussian closure},
  author={Christophe Berthon},
  journal={Math. Comput.},
We propose a numerical scheme to approximate the weak solutions of the 10-moment Gaussian closure. The moment Gaussian closure for gas dynamics is governed by a conservative hyperbolic system supplemented by entropy inequalities whose solutions satisfy positiveness of density and tensorial pressure. We consider a Suliciu-type relaxation numerical scheme to approximate the solutions. These methods are proved to satisfy all the expected positiveness properties and all the discrete entropy… CONTINUE READING
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