Stability of preconditioned finite volume schemes at low Mach numbers

DOI10.1007/s10543-005-0009-0zbMath1124.76038OpenAlexW2011422656MaRDI QIDQ2583164

Andreas Meister, Philipp Birken

Publication date: 13 January 2006

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-005-0009-0

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) General aerodynamics and subsonic flows (76G25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (17)

Truly multi-dimensional all-speed schemes for the Euler equations on Cartesian grids ⋮ Entropy-stable schemes in the low-Mach-number regime: flux-preconditioning, entropy breakdowns, and entropy transfers ⋮ Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number ⋮ Wave Structure Similarity of the HLLC and Roe Riemann Solvers: Application to Low Mach Number Preconditioning ⋮ Modelling, asymptotic analysis and simulation of the gas dynamics in a chimney ⋮ All-speed numerical methods for the Euler equations via a sequential explicit time integration ⋮ Artificial diffusion for convective and acoustic low Mach number flows. I: Analysis of the modified equations, and application to Roe-type schemes ⋮ A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms ⋮ Rescaling of the Roe scheme in low Mach-number flow regions ⋮ An improved reconstruction method for compressible flows with low Mach number features ⋮ An all-speed Roe-type scheme and its asymptotic analysis of low Mach number behaviour ⋮ Asymptotic and numerical analysis of an inviscid bounded vortex flow at low Mach number ⋮ A Roe-type scheme with low Mach number preconditioning for a two-phase compressible flow model with pressure relaxation ⋮ A low-Mach number fix for Roe's approximate Riemann solver ⋮ A totally Eulerian finite volume solver for multi-material fluid flows. III: The low Mach number case ⋮ A low Mach correction able to deal with low Mach acoustics ⋮ Extension of the pressure correction method to zero-Mach number compressible flows

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