Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations

@article{Fernndez2019EntropySP,
  title={Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations},
  author={D. C. D. R. Fern{\'a}ndez and M. Carpenter and L. Dalc{\'i}n and Lucas Friedrich and A. Winters and G. Gassner and M. Parsani},
  journal={ArXiv},
  year={2019},
  volume={abs/1909.12546}
}
  • D. C. D. R. Fernández, M. Carpenter, +4 authors M. Parsani
  • Published 2019
  • Mathematics, Computer Science, Physics
  • ArXiv
  • In this paper, the entropy conservative/stable algorithms presented by Del Rey Fernandez and coauthors [18,16,17] for the compressible Euler and Navier-Stokes equations on nonconforming p-refined/coarsened curvilinear grids is extended to h/p refinement/coarsening. The main difficulty in developing nonconforming algorithms is the construction of appropriate coupling procedures across nonconforming interfaces. Here, a computationally simple and efficient approach based upon using decoupled… CONTINUE READING
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