On a diphasic low mach number system

DOI10.1051/m2an:2005020zbMath1075.35038OpenAlexW2104731578MaRDI QIDQ5315517

Stéphane Dellacherie

Publication date: 8 September 2005

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

Full work available at URL: http://www.numdam.org/item?id=M2AN_2005__39_3_487_0

zbMATH Keywords

asymptotic expansiontime scalescombustionacoustic wavesNavier-Stokes systemcompressible flowsperfect gasnuclear reactorslocally well-posedmaterial wavesentropic numerical scheme in Lagrangian coordinatesvan der Waals equations of state

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Classical and relativistic thermodynamics (80A10) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (8)

A combined finite volume -- finite element scheme for a low-Mach system involving a Joule term ⋮ Study of a low Mach nuclear core model for single-phase flows ⋮ Numerical resolution of a potential diphasic low Mach number system ⋮ Theoretical study of an abstract bubble vibration model ⋮ Pressure and volume changes of an air bubble in a liquid water flow through a heated micro-channel ⋮ Well-posedness of a low Mach number system ⋮ Velocity and Energy Relaxation in Two-Phase Flows ⋮ Coupling strategies for compressible-low Mach number flows

Cites Work

• Unnamed Item
• A mathematical introduction to fluid mechanics
• Computing interface motion in compressible gas dynamics
• A front-tracking method for viscous, incompressible multi-fluid flows
• A multiphase Godunov method for compressible multifluid and multiphase flows
• Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
• Modelling merging and fragmentation in multiphase flows with SURFER
• A level set approach for computing solutions to incompressible two-phase flow
• On the behavior of upwind schemes in the low Mach number limit. II: Godunov type schemes.
• A volume of fluid based method for fluid flows with phase change
• Review of preconditioning methods for fluid dynamics
• The application of preconditioning in viscous flows
• A five-equation model for the simulation of interfaces between compressible fluids
• A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state
• On the behaviour of upwind schemes in the low Mach number limit
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Computations of boiling flows
• Well-posedness of the nonlinear equations for zero mach number combustion
• A five-equation model for the numerical simulation of interfaces in two-phase flows
• Relaxation schemes for the multicomponent Euler system
• The second gradient method for the direct numerical simulation of liquid-vapor flows with phase change.

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