Stability of a Kirchhoff-Roe scheme for two-dimensional linearized Euler systems
DOI10.1007/s11565-017-0296-9zbMath1398.65209OpenAlexW2772814524MaRDI QIDQ1989481
Laurent Gosse, Emmanuel Franck
Publication date: 26 October 2018
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-017-0296-9
2D Lax-Wendroff schemeKirchhoff exact solutionlinearized Euler systemnumerical vorticity dissipation
Wave equation (35L05) 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) Initial value problems for first-order hyperbolic systems (35L45) Euler-Poisson-Darboux equations (35Q05)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Design of asymptotic preserving finite volume schemes for the hyperbolic heat equation on unstructured meshes
- The pressure gradient system
- A rotationally biased upwind difference scheme for the Euler equations
- On curl-preserving finite volume discretizations for shallow water equations
- Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics
- BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one
- Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion
- Is discontinuous reconstruction really a good idea?
- Evolution Galerkin schemes applied to two-dimensional Riemann problems for the wave equation system
- Multidimensional corrections to cell-centered finite volume methods for Maxwell equations
- A two-dimensional HLLE Riemann solver and associated Godunov-type difference scheme for gas dynamics
- Vorticity-preserving schemes for the compressible Euler equations
- Vorticity-Preserving Lax--Wendroff-Type Schemes for the System Wave Equation
- Constraint Preserving Schemes Using Potential-Based Fluxes. II. Genuinely Multidimensional Systems of Conservation Laws
- Discrete Weighted Mean Approximation of a Model Convection-Diffusion Equation
- Discontinuous solutions to hyperbolic systems under operator splitting
- Viscous Equations Treated with $$\mathcal{L}$$ -Splines and Steklov-Poincaré Operator in Two Dimensions
- A Two-Dimensional Version of the Godunov Scheme for Scalar Balance Laws
- Accuracy and dissipation in difference schemes
- Difference schemes for hyperbolic equations with high order of accuracy
- Two-dimensional Riemann solver for Euler equations of gas dynamics
This page was built for publication: Stability of a Kirchhoff-Roe scheme for two-dimensional linearized Euler systems
