Entropy Stability and the No-Slip Wall Boundary Condition

DOI10.1137/16M1097225zbMath1380.76086OpenAlexW2783299062MaRDI QIDQ4602547

Matteo Parsani, Mark H. Carpenter, Magnus Svärd

Publication date: 31 January 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1097225

zbMATH Keywords

nonlinear stabilityfinite differenceNavier-Stokeswall boundary conditions

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (11)

An efficient finite difference method for the shallow water equations ⋮ On the robustness and performance of entropy stable collocated discontinuous Galerkin methods ⋮ Entropy stable boundary conditions for the Euler equations ⋮ Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations ⋮ Large eddy simulations by approximate weak entropy solutions ⋮ Convergence of Chandrashekar's second-derivative finite-volume approximation ⋮ Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics ⋮ Entropy stable \(h/p\)-nonconforming discretization with the summation-by-parts property for the compressible Euler and Navier-Stokes equations ⋮ Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: adiabatic wall and heat entropy transfer ⋮ Entropy stability for the compressible Navier-Stokes equations with strong imposition of the no-slip boundary condition ⋮ A skew-symmetric energy and entropy stable formulation of the compressible Euler equations

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