Conservative formulation for compressible multiphase flows

DOI10.1090/qam/1409zbMath1336.35305arXiv1405.3456OpenAlexW2281344633MaRDI QIDQ2792383

Evgeniy Romenski, Alexander A. Belozerov, I. M. Peshkov

Publication date: 9 March 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3456

zbMATH Keywords

Riemann problemfinite-volume methodmultiphase compressible flowhyperbolic system of conservation lawsfour phase flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Three or more component flows (76T30)

Related Items (13)

A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics ⋮ 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 ⋮ Modeling wavefields in saturated elastic porous media based on thermodynamically compatible system theory for two-phase solid-fluid mixtures ⋮ An implicit-explicit solver for a two-fluid single-temperature model ⋮ Diffuse interface approach to modeling wavefields in a saturated porous medium ⋮ On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows ⋮ Relaxation and simulation of a barotropic three-phase flow model ⋮ A new continuum model for general relativistic viscous heat-conducting media ⋮ Continuum mechanics and thermodynamics in the Hamilton and the Godunov-type formulations ⋮ Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows ⋮ Two-phase hyperbolic model for porous media saturated with a viscous fluid and its application to wavefields simulation ⋮ A Splitting Scheme for Three-Phase Flow Models

Uses Software

• HE-E1GODF
• GFORCE

Cites Work

• Conservative models and numerical methods for compressible two-phase flow
• Modeling phase transition for compressible two-phase flows applied to metastable liquids
• A three-phase flow model
• Two-phase flow: Models and methods
• A multiphase Godunov method for compressible multifluid and multiphase flows
• Modelling evaporation fronts with reactive Riemann solvers
• MUSTA fluxes for systems of conservation laws
• A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
• High-Resolution Finite Volume Central Schemes for a Compressible Two-Phase Model
• A compressible single‐temperature conservative two‐phase model with phase transitions
• Conservative hyperbolic formulation for compressible two-phase flow with different phase pressures and temperatures
• Symmetric hyperbolic linear differential equations
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