An Entropy Adjoint Approach to Mesh Refinement

@article{Fidkowski2010AnEA,
  title={An Entropy Adjoint Approach to Mesh Refinement},
  author={Krzysztof J. Fidkowski and Philip L. Roe},
  journal={SIAM J. Scientific Computing},
  year={2010},
  volume={32},
  pages={1261-1287}
}
This work presents a mesh refinement indicator based on entropy variables, with an application to the compressible Navier-Stokes equations. The entropy variables are shown to satisfy an adjoint equation, an observation that allows recent work in adjoint-based error estimation to be leveraged in constructing a relatively cheap but effective adaptive indicator. The output associated with the entropy-variable adjoint is shown to be the entropy production in the computational domain, including… CONTINUE READING
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