New Invariant Domain Preserving Finite Volume Schemes for Compressible Flows

DOI10.1007/978-3-030-72850-2_6zbMath1481.76146OpenAlexW3164390044MaRDI QIDQ5020154

Bangwei She, Hana Mizerová, Mária Lukáčová-Medvid'ová

Publication date: 4 January 2022

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-72850-2_6

zbMATH Keywords

convergencefinite volume methodentropy stabilitycompressible Navier-Stokes-Fourier equationscompressible Euler equtionsinvariant domain preserving property

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Compressible Navier-Stokes equations (76N06)

Related Items

Penalization method for the Navier–Stokes–Fourier system, Error estimates of a finite volume method for the compressible Navier–Stokes–Fourier system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dissipative measure-valued solutions to the compressible Navier-Stokes system
• A minimum entropy principle in the gas dynamics equations
• A characteristic space-time conservation element and solution element method for conservation laws
• A direct Eulerian GRP scheme for compressible fluid flows
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Measure-valued solutions to the complete Euler system
• Finite volume evolution Galerkin methods for nonlinear hyperbolic systems.
• A finite volume scheme for the Euler system inspired by the two velocities approach
• Well-Centered Triangulation
• Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
• BGK-Based Schemes for the Simulation of Compressible Flow
• Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
• Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
• Stability of Strong Solutions to the Navier--Stokes--Fourier System
• Convergence of a finite volume scheme for the compressible Navier–Stokes system
• Discontinuous Galerkin Method
• Viscous Regularization of the Euler Equations and Entropy Principles