Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition

DOI10.1090/S0033-569X-2013-01290-XzbMath1277.80009MaRDI QIDQ2850029

Gerald Warnecke, Maren Hantke, Wolfgang Dreyer

Publication date: 20 September 2013

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

zbMATH Keywords

thermodynamicsconservation lawphase transitioncompressible fluidisothermal Euler equationssharp interface modeltwo-phase flow modelexact Riemann solverinviscid fluidnonclassical shock

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (18)

Comparison of macro- and microscopic solutions of the Riemann problem. II: Two-phase shock tube ⋮ A molecular-continuum multiscale model for inviscid liquid-vapor flow with sharp interfaces ⋮ A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension ⋮ Why condensation by compression in pure water vapor cannot occur in an approach based on Euler equations ⋮ 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 ⋮ Interaction of elementary waves with a weak discontinuity in an isothermal drift-flux model of compressible two-phase flows ⋮ Numerical schemes for the coupling of compressible and incompressible fluids in several space dimensions ⋮ The Riemann problem for van der Waals fluids with nonclassical phase transitions ⋮ Singular and selfsimilar solutions for Euler equations with phase transitions ⋮ Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension ⋮ On Riemann solvers and kinetic relations for isothermal two-phase flows with surface tension ⋮ Numerical simulation of wave impacts with interfacial phase change: an isothermal averaged model ⋮ Persistence of undercompressive phase boundaries for isothermal Euler equations including configurational forces and surface tension ⋮ Riemann solvers for phase transition in a compressible sharp-interface method ⋮ A new method to discretize a model for isothermal flow with a multi-component equation of state ⋮ A sharp interface framework based on the inviscid Godunov-Peshkov-Romenski equations: simulation of evaporating fluids ⋮ A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension

Uses Software

• HE-E1GODF

Cites Work

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• Asymptotic analysis for Korteweg models
• Modeling phase transition for compressible two-phase flows applied to metastable liquids
• Kinetic relations and the propagation of phase boundaries in solids
• Bubbles in liquids with phase transition
• A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
• Fundamentals of Thermodynamics and Applications
• The Riemann problem for fluid flow of real materials
• The Riemann Problem for the Euler Equations with Nonconvex and Nonsmooth Equation of State: Construction of Wave Curves
• Hyperbolic Conservation Laws in Continuum Physics
• Thermodynamics

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