Remark on the generalized Riemann problem method for compressible fluid flows

DOI10.1016/j.jcp.2006.08.017zbMath1158.76425OpenAlexW2096623877MaRDI QIDQ876035

Zhongfeng Sun, Jiequan Li

Publication date: 16 April 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.08.017

zbMATH Keywords

Riemann invariantsresolution of rarefaction wavesthe generalized Riemann problem (GRP) method

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

Implementation of the GRP scheme for computing radially symmetric compressible fluid flows ⋮ Arbitrary high order discontinuous Galerkin schemes based on the GRP method for compressible Euler equations ⋮ A high-order cell-centered Lagrangian scheme for compressible fluid flows in two-dimensional cylindrical geometry ⋮ An adaptive GRP scheme for compressible fluid flows ⋮ A two-stage fourth-order discontinuous Galerkin method based on the GRP solver for the compressible Euler equations ⋮ Application of the GRP Scheme for Cylindrical Compressible Fluid Flows ⋮ A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids ⋮ Computing oscillatory solutions of the Euler system via 𝒦-convergence ⋮ An efficient, second order accurate, universal generalized Riemann problem solver based on the HLLI Riemann solver ⋮ HFVS: an arbitrary high order approach based on flux vector splitting ⋮ A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes

Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• Unnamed Item
• A second-order Godunov-type scheme for compressible fluid dynamics
• A direct Eulerian GRP scheme for compressible fluid flows
• An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics
• The generalized Riemann problem for reactive flows
• An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
• The generalized Riemann problem method for the shallow water equations with bottom topography
• An Upwind Second-Order Scheme for Compressible Duct Flows
• Generalized Riemann Problems in Computational Fluid Dynamics