Entropy conserving and kinetic energy preserving numerical methods for the Euler equations using summation-by-parts operators
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Publication:2054370
DOI10.1007/978-3-030-39647-3_42zbMath1484.65233OpenAlexW3048946250MaRDI QIDQ2054370
Publication date: 2 December 2021
Full work available at URL: https://doi.org/10.1007/978-3-030-39647-3_42
Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Euler equations (35Q31)
Related Items (8)
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: application to structure preserving discretization ⋮ Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes ⋮ A note on numerical fluxes conserving a member of Harten's one-parameter family of entropies for the compressible Euler equations ⋮ Recent advancement of entropy split methods for compressible gas dynamics and MHD ⋮ Conservation of acceleration and dynamic entanglement in mechanics ⋮ Construction of conservative numerical fluxes for the entropy split method ⋮ On the entropy conserving/stable implicit DG discretization of the Euler equations in entropy variables ⋮ Numerical treatment of the energy equation in compressible flows simulations
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