Analysis on physical-constraint-preserving high-order discontinuous Galerkin method for solving Kapila's five-equation model

DOI10.1016/j.jcp.2023.112417OpenAlexW4385813850MaRDI QIDQ6054193

Fan Zhang, Jian Cheng

Publication date: 27 September 2023

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112417

zbMATH Keywords

discontinuous Galerkin methodphysical-constraint-preservingcompressible two-fluid flowsKapila's five-equation model

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Multiphase and multicomponent flows (76Txx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

• A diffuse interface model with immiscibility preservation
• A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces
• Positivity-preserving method for high-order conservative schemes solving compressible Euler equations
• Positivity-preserving high order finite difference WENO schemes for compressible Euler equations
• On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
• Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
• A five equation reduced model for compressible two-phase flow problems
• Finite-volume WENO scheme for viscous compressible multicomponent flows
• Implementation of WENO schemes in compressible multicomponent flow problems
• On maximum-principle-satisfying high order schemes for scalar conservation laws
• Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures
• A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• A multiphase Godunov method for compressible multifluid and multiphase flows
• An efficient shock-capturing algorithm for compressible multicomponent problems
• Ghost fluid method for strong shock impacting on material interface.
• Runge-Kutta discontinuous Galerkin method with front tracking method for solving the compressible two-medium flow
• Robust second-order scheme for multi-phase flow computations
• On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
• A five-equation model for the simulation of interfaces between compressible fluids
• How to prevent pressure oscillations in multicomponent flow calculations: A quasi conservative approach
• Efficient implementation of weighted ENO schemes
• Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems
• A robust high order alternative WENO scheme for the five-equation model
• Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations
• A positivity-preserving high-order weighted compact nonlinear scheme for compressible gas-liquid flows
• A bound-preserving and positivity-preserving finite volume WENO scheme for solving five-equation model of two-medium flows
• A quasi-conservative discontinuous Galerkin method for solving five equation model of compressible two-medium flows
• An assessment of multicomponent flow models and interface capturing schemes for spherical bubble dynamics
• Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations
• A robust and efficient finite volume method for compressible inviscid and viscous two-phase flows
• High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces
• Adaptive characteristics-based matching for compressible multifluid dynamics
• Strong Stability-Preserving High-Order Time Discretization Methods
• Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem
• Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
• A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
• Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting
• Positivity Preservation of a First-Order Scheme for a Quasi-Conservative Compressible Two-Material Model
• A Bound-Preserving and Positivity-Preserving Path-Conservative Discontinuous Galerkin Method for Solving Five-Equation Model of Compressible Two-Medium Flows
• On the design of stable, consistent, and conservative high-order methods for multi-material hydrodynamics

This page was built for publication: Analysis on physical-constraint-preserving high-order discontinuous Galerkin method for solving Kapila's five-equation model