A relaxation scheme for a hyperbolic multiphase flow model

DOI10.1051/m2an/2019034zbMath1425.76288arXiv1803.10600OpenAlexW2962732718MaRDI QIDQ4972115

Khaled Saleh

Publication date: 22 November 2019

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10600

zbMATH Keywords

Riemann problemfinite volumescompressible flowsRiemann solversmultiphase flowshyperbolic PDEsGodunov-type schemesrelaxation techniquesentropy-satisfying methods

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) First-order nonlinear hyperbolic equations (35L60) Three or more component flows (76T30) Liquid-gas two-phase flows, bubbly flows (76T10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial value problems for systems of nonlinear first-order PDEs (35F55)

Related Items (7)

Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model ⋮ Simulation of a homogeneous relaxation model for a three-phase mixture with miscible phases ⋮ Two approaches to compute unsteady compressible two-phase flow models with stiff relaxation terms ⋮ Relaxation Process in an Immiscible Three-Phase Flow Model ⋮ Simulation and preliminary validation of a three-phase flow model with energy ⋮ A four-field three-phase flow model with both miscible and immiscible components ⋮ A three-phase flow model with two miscible phases

Uses Software

• Coq
• HLLC

Cites Work

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• RELAXATION OF FLUID SYSTEMS
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• Vapor Explosions
• A thermodynamically consistent model of a liquid-vapor fluid with a gas
• Relaxation and simulation of a barotropic three-phase flow model
• A three-phase flow model with two miscible phases
• A robust entropy−satisfying finite volume scheme for the isentropic Baer−Nunziato model
• Mathematical and numerical modeling of two-phase compressible flows with micro-inertia.
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