Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations

@article{Ranocha2020FullyDiscreteEL,
  title={Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations},
  author={Hendrik Ranocha and Lisandro Dalc{\'i}n and Matteo Parsani},
  journal={ArXiv},
  year={2020},
  volume={abs/2003.08831}
}
  • Hendrik Ranocha, Lisandro Dalcín, Matteo Parsani
  • Published 2020
  • Computer Science, Mathematics, Physics
  • ArXiv
  • Recently, relaxation methods have been developed to guarantee the preservation of a single global functional of the solution of an ordinary differential equation. We generalize this approach to guarantee local entropy inequalities for finitely many convex functionals (entropies) and apply the resulting methods to the compressible Euler and Navier-Stokes equations. Based on the unstructured $hp$-adaptive SSDC framework of entropy conservative or dissipative semidiscretizations using summation-by… CONTINUE READING

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