Large Time-Step Numerical Scheme for the Seven-Equation Model of Compressible Two-Phase Flows

DOI10.1007/978-3-642-20671-9_24zbMath1246.76071OpenAlexW2222919500MaRDI QIDQ2902092

Frédéric Coquel, Samuel Kokh, Nicole Spillane, Christophe Chalons

Publication date: 17 August 2012

Published in: Finite Volumes for Complex Applications VI Problems & Perspectives (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-20671-9_24

zbMATH Keywords

Baer-Nunziato modelseven-equation modelcompressible two-phase flowslarge time-step numerical scheme

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31)

Related Items (12)

Numerical simulation of a compressible two-layer model: a first attempt with an implicit-explicit splitting scheme ⋮ A splitting method for the isentropic Baer-Nunziato two-phase flow model ⋮ Modelling compressible multiphase flows ⋮ An all-regime Lagrange-projection like scheme for 2D homogeneous models for two-phase flows on unstructured meshes ⋮ An acoustic-transport splitting method for the barotropic Baer-Nunziato two-phase flow model ⋮ A low Mach number IMEX flux splitting for the level set ghost fluid method ⋮ A positive and entropy-satisfying finite volume scheme for the Baer-Nunziato model ⋮ Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-projection-type method for gas dynamics ⋮ On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations ⋮ A fractional step method to compute a class of compressible gas-liquid flows ⋮ A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model ⋮ A Fractional Step Method to Simulate Mixed Flows in Pipes with a Compressible Two-Layer Model

Cites Work

• The Riemann problem for the Baer-Nunziato two-phase flow model
• Relaxation approximation of the Euler equations
• HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
• Comparison of Roe-type methods for solving the two-fluid model with and without pressure relaxation
• Two-phase flow: Models and methods
• Mathematical analysis of a two-phase continuum mixture theory
• A multiphase Godunov method for compressible multifluid and multiphase flows
• A Godunov-type method for the seven-equation model of compressible two-phase flow
• The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
• Entropy-satisfying relaxation method with large time-steps for Euler IBVPs
• Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
• A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
• Compressible two-phase flows by central and upwind schemes
• NUMERICAL MODELING OF TWO-PHASE FLOWS USING THE TWO-FLUID TWO-PRESSURE APPROACH

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