WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows
From MaRDI portal
Publication:1929941
DOI10.1007/s10915-012-9578-7zbMath1383.76359OpenAlexW2074205710MaRDI QIDQ1929941
Tao Xiong, Chi-Wang Shu, Mengping Zhang
Publication date: 10 January 2013
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-012-9578-7
exact Riemann solversubcell resolutionpath-conservative schemesnonconservative hyperbolic systemshigh-order finite volume WENO schemeprimitive Euler equationstwo-medium flows
Finite volume methods applied to problems in fluid mechanics (76M12) Particle methods and lattice-gas methods (76M28) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (10)
Essentially non-oscillatory and weighted essentially non-oscillatory schemes ⋮ Entropy stable, robust and high-order DGSEM for the compressible multicomponent Euler equations ⋮ A high order conservative finite difference scheme for compressible two-medium flows ⋮ A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces ⋮ A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows ⋮ A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty ⋮ A quasi-conservative discontinuous Galerkin method for solving five equation model of compressible two-medium flows ⋮ High order finite difference Hermite WENO schemes for the Hamilton-Jacobi equations on unstructured meshes ⋮ A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs ⋮ Finite-volume schemes for shallow-water equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- High order finite difference methods with subcell resolution for advection equations with stiff source terms
- A path-conservative method for a five-equation model of two-phase flow with an HLLC-type Riemann solver
- A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
- An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method
- High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems
- High order strong stability preserving time discretizations
- Fast sweeping fifth order WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment
- RKDG methods and WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations
- Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: one-dimensional case
- ENO schemes with subcell resolution
- Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes
- A comment on the computation of non-conservative products
- HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Computing interface motion in compressible gas dynamics
- A weak formulation of Roe's approximate Riemann solver
- A isobaric fix for the overheating problem in multimaterial compressible flows
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- Multicomponent flow calculations by a consistent primitive algorithm
- A level set approach for computing solutions to incompressible two-phase flow
- Weighted essentially non-oscillatory schemes
- A Riemann problem based method for the resolution of compressible multimaterial flows
- Ghost fluid method for strong shock impacting on material interface.
- Spectral (finite) volume method for conservation laws on unstructured grids. IV: Extension to two-dimensional systems.
- The ghost fluid method for compressible gas-water simulation
- Level set methods and dynamic implicit surfaces
- A pressure-invariant conservative Godunov-type method for barotropic two-fluid flows.
- A fast level set method for propagating interfaces
- How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
- Definition and weak stability of nonconservative products
- Efficient implementation of weighted ENO schemes
- How to preserve the mass fractions positivity when computing compressible multi-component flows
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- Viscous Shock Profiles and Primitive Formulations
- On the Riemann problem for liquid or gas‐liquid media
- Why Nonconservative Schemes Converge to Wrong Solutions: Error Analysis
- On the dynamics of a shock–bubble interaction
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
- A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- 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
- Computations of compressible multifluids.
- A technique of treating negative weights in WENO schemes
This page was built for publication: WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows
