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Isothermal walls in the compressible Navier-Stokes equations: affine entropy, ballistic energy, and entropy-stable discrete formulations

Parsani, Matteo et al.
arXiv (All) · Papers
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analysis-of-pdesfluid-dynamicsg-1-8mathematical-physicsnumerical-analysis
We develop entropy-stable isothermal-wall conditions for the compressible Navier--Stokes equations at continuous and semi-discrete levels. For a stationary, impermeable, no-slip wall at constant positive temperature, adding total-energy density divided by wall temperature to the canonical convex ent
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