WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows
type: Item
instance of: scholarly article
title: WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows
zbMATH Open document ID: 1383.76359
author: Tao Xiong
author: Chi-Wang Shu
author: Mengping Zhang
published in: Journal of Scientific Computing
publication date: 2013-01-10T00:00:00Z
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76M28
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 6123934
zbMATH Keywords: path-conservative schemes
zbMATH Keywords: high-order finite volume WENO scheme
zbMATH Keywords: subcell resolution
zbMATH Keywords: nonconservative hyperbolic systems
zbMATH Keywords: primitive Euler equations
zbMATH Keywords: two-medium flows
zbMATH Keywords: exact Riemann solver
describes a project that uses: HLLC
describes a project that uses: HE-E1GODF
MaRDI profile type: Publication
full work available at URL: s10915-012-9578-7
OpenAlex ID: W2074205710
cites work: How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
cites work: Computations of compressible multifluids.
cites work: A comment on the computation of non-conservative products
cites work: A fast level set method for propagating interfaces
cites work: A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows.
cites work: High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems
cites work: High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
cites work: Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
cites work: On the Riemann problem for liquid or gas‐liquid media
cites work: A Riemann problem based method for the resolution of compressible multimaterial flows
cites work: The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
cites work: Definition and weak stability of nonconservative products
cites work: A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
cites work: A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
cites work: A isobaric fix for the overheating problem in multimaterial compressible flows
cites work: High order strong stability preserving time discretizations
cites work: ENO schemes with subcell resolution
cites work: Uniformly high order accurate essentially non-oscillatory schemes. III
cites work: Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
cites work: Why Nonconservative Schemes Converge to Wrong Solutions: Error Analysis
cites work: Weighted ENO Schemes for Hamilton--Jacobi Equations
cites work: Efficient implementation of weighted ENO schemes
cites work: Viscous Shock Profiles and Primitive Formulations
cites work: Multicomponent flow calculations by a consistent primitive algorithm
cites work: How to preserve the mass fractions positivity when computing compressible multi-component flows
cites work: The ghost fluid method for compressible gas-water simulation
cites work: The simulation of compressible multi-medium flow. I: A new methodology with test applications to 1D gas-gas and gas-water cases. II: Applications to 2D underwater shock refraction
cites work: Ghost fluid method for strong shock impacting on material interface.
cites work: Weighted essentially non-oscillatory schemes
cites work: Computing interface motion in compressible gas dynamics
cites work: Level set methods and dynamic implicit surfaces
cites work: Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
cites work: Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: one-dimensional case
cites work: Q3406168
cites work: On the dynamics of a shock–bubble interaction
cites work: A technique of treating negative weights in WENO schemes
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
cites work: Q4314474
cites work: A level set approach for computing solutions to incompressible two-phase flow
cites work: A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver
cites work: HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
cites work: Riemann Solvers and Numerical Methods for Fluid Dynamics
cites work: A weak formulation of Roe's approximate Riemann solver
cites work: A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow
cites work: An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method
cites work: High order finite difference methods with subcell resolution for advection equations with stiff source terms
cites work: Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
cites work: Fast sweeping fifth order WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment
cites work: RKDG methods and WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations
DOI: 10.1007/S10915-012-9578-7
description: scientific article; zbMATH DE number 6123934