Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations

@article{Chandrashekar2012KineticEP,
  title={Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations},
  author={P. Chandrashekar},
  journal={ArXiv},
  year={2012},
  volume={abs/1209.4994}
}
  • P. Chandrashekar
  • Published 2012
  • Computer Science, Mathematics
  • ArXiv
  • Centered numerical fluxes can be constructed for compressible Euler equations which preserve kinetic energy in the semi-discrete finite volume scheme. The essential feature is that the momentum flux should be of the form where and are any consistent approximations to the pressure and the mass flux. This scheme thus leaves most terms in the numerical flux unspecified and various authors have used simple averaging. Here we enforce approximate or exact entropy consistency which leads to a unique… CONTINUE READING
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