Approximate Osher-Solomon Schemes for Hyperbolic Systems
From MaRDI portal
Publication:4555546
DOI10.1007/978-3-319-32013-7_1zbMath1402.35019OpenAlexW4236088953MaRDI QIDQ4555546
José M. Gallardo, Antonio Marquina, Manuel J. Castro
Publication date: 20 November 2018
Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-32013-7_1
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) First-order hyperbolic systems (35L40)
Related Items
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems, A path-conservative finite volume scheme for compressible multi-phase flows with surface tension, Editorial: Preface to the special issue ``Recent advances in numerical methods for hyperbolic partial differential equations, A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes, New Types of Jacobian-Free Approximate Riemann Solvers for Hyperbolic Systems
Uses Software
Cites Work
- A class of incomplete Riemann solvers based on uniform rational approximations to the absolute value function
- Two-dimensional compact third-order polynomial reconstructions. Solving nonconservative hyperbolic systems using GPUs
- Recurrence relations for rational cubic methods. I: The Halley method
- A characteristic-based nonconvex entropy-fix upwind scheme for the ideal magnetohydrodynamic equations
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- Weighted essentially non-oscillatory schemes on triangular meshes
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Rational approximation to \(|x|\)
- A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws