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Entropy-conservative high-order methods for high-enthalpy gas flows

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arxiv 2403.16882 v2 pith:X45DYKTQ submitted 2024-03-25 physics.flu-dyn cs.NAmath.NA

classification physics.flu-dyncs.NAmath.NA
keywords flowsapproachdevelopedentropy-conservativehigh-orderinternalmethodsnumerical
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A framework for numerical evaluation of entropy-conservative volume fluxes in gas flows with internal energies is developed, for use with high-order discretization methods. The novelty of the approach lies in the ability to use arbitrary expressions for the internal degrees of freedom of the constituent gas species. The developed approach is implemented in an open-source discontinuous Galerkin code for solving hyperbolic equations. Numerical simulations are carried out for several model 2-D flows and the results are compared to those obtained with the finite volume-based solver DLR TAU.

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  1. Entropy-stable fluxes for high-order Discontinuous Galerkin simulations of high-enthalpy flows

    physics.flu-dyn 2024-11 conditional novelty 6.0 of 10

    A multi-species entropy-conservative flux for DGSEM is presented that works with arbitrary tabulated internal-energy models, and is validated against reference solvers.

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