A skew-symmetric energy and entropy stable formulation of the compressible Euler equations
From MaRDI portal
Publication:2083647
DOI10.1016/j.jcp.2022.111573OpenAlexW4293571979MaRDI QIDQ2083647
Publication date: 11 October 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111573
compressible Euler equationsenergy stabilityentropy stabilitysummation-by-partsskew-symmetric formnonlinear hyperbolic problems
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Compressible fluids and gas dynamics (76Nxx) Hyperbolic equations and hyperbolic systems (35Lxx)
Related Items
A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations ⋮ Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Review of summation-by-parts schemes for initial-boundary-value problems
- Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations
- Skew-selfadjoint form for systems of conservation laws
- On the symmetric form of systems of conservation laws with entropy
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- A conservative, skew-symmetric finite difference scheme for the compressible Navier-Stokes equations
- A roadmap to well posed and stable problems in computational physics
- Entropy stable boundary conditions for the Euler equations
- Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected?
- Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations
- Entropy-stable schemes for the Euler equations with far-field and wall boundary conditions
- The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
- A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions
- The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
- Incompletely Parabolic Problems in Fluid Dynamics
- Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
- Entropy Stability and the No-Slip Wall Boundary Condition
- The Number of Boundary Conditions for Initial Boundary Value Problems
- THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
- Initial boundary value problems for hyperbolic systems
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Well-Posed Boundary Conditions for the Navier--Stokes Equations