Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows

DOI10.1007/s10915-022-02028-xzbMath1504.35184arXiv2203.12422OpenAlexW4308933778MaRDI QIDQ2103470

Ferdinand Thein, Evgeniy Romenski, Michael Dumbser

Publication date: 13 December 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.12422

zbMATH Keywords

finite volume schemescomparison with the Baer-Nunziato modelconservative model of compressible two fluid flowexact solution of the Riemann problemresonance for non-strictly hyperbolic systemsthermodynamically compatible hyperbolic systems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Multiphase and multicomponent flows (76Txx) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (6)

Thermodynamically compatible discretization of a compressible two-fluid model with two entropy inequalities ⋮ An all Mach number finite volume method for isentropic two-phase flow ⋮ An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous two-phase flows with surface tension ⋮ A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach ⋮ A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics ⋮ A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A path-conservative Osher-type scheme for axially symmetric compressible flows in flexible visco-elastic tubes
• A class of compressible multiphase flow models
• A hyperbolic model for viscous Newtonian flows
• A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
• Conservative models and numerical methods for compressible two-phase flow
• FORCE schemes on unstructured meshes. II: Non-conservative hyperbolic systems
• A five equation reduced model for compressible two-phase flow problems
• Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations
• Non-strictly hyperbolic systems, singularity and bifurcation
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Linear degeneracy and shock waves
• Mathematical analysis of a two-phase continuum mixture theory
• Systems of thermodynamically coordinated laws of conservation invariant under rotations
• Hyperbolic systems of thermodynamically compatible conservation laws in continuum mechanics.
• Closure laws for a two-fluid two-pressure model
• A class of nonlinear, nonhyperbolic systems of conservation laws with well-posed initial value problems
• Multiscale multiphase modeling of detonations in condensed energetic materials
• Numerical solutions for a weakly hyperbolic dispersed two-phase flow model
• The Riemann problem for materials with nonconvex equation of state. II: General flow
• On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows
• Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure
• A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
• High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension
• Numerical investigations of two-phase finger-like instabilities
• Modeling wavefields in saturated elastic porous media based on thermodynamically compatible system theory for two-phase solid-fluid mixtures
• Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme
• High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids
• Conservative formulation for compressible multiphase flows
• Thermo-Fluid Dynamics of Two-Phase Flow
• On Degenerate Partial Differential Equations
• Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• Nonlinear Resonance in Systems of Conservation Laws
• Dynamical stability and vanishing viscosity: A case study of a non-strictly hyperbolic system
• The Riemann Problem for a Nonstrictly Hyperbolic System Modeling Nonisothermal, Two–Phase Flow in a Porous Medium
• On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws
• A new continuum model for general relativistic viscous heat-conducting media
• On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics
• A general existence result for isothermal two-phase flows with phase transition
• The Riemann problem for a weakly hyperbolic two-phase flow model of a dispersed phase in a carrier fluid
• Dependence on the Background Viscosity of Solutions to a Prototypical NonStrictly Hyperbolic System of Conservation Laws
• Classical and Relativistic Rational Extended Thermodynamics of Gases
• NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH
• Singular solutions for a 2X2 system in nonconservative form with incomplete set of eigenvectors
• Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures
• The Riemann problem for fluid flow of real materials
• High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
• The Riemann Problem for the Euler Equations with Nonconvex and Nonsmooth Equation of State: Construction of Wave Curves
• Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
• Symmetric hyperbolic linear differential equations
• A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics
• Hyperbolic Conservation Laws in Continuum Physics
• Thermodynamics
• An all Mach number finite volume method for isentropic two-phase flow

This page was built for publication: Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows