On the lowMach number limit of compressible flows in exteriormoving domains

Multiple-Relaxation-Time Lattice Boltzmann Approach to Compressible Flows with Flexible Specific-Heat Ratio and Prandtl Number

A new multiple-relaxation-time lattice Boltzmann scheme for compressible flows with arbitrary specific heat ratio and Prandtl number is presented. In the new scheme, which is based on a two-dimensional 16-discrete-velocity model, the kinetic moment space and the corresponding transformation matrix are constructed according to the seven-moment relations associated with the local equilibrium dist...

An efficient parallel/unstructured-multigrid preconditioned implicit method for simulating 3D unsteady compressible flows with moving objects

This paper presents the development and validation of a new parallel unstructured multi-grid preconditioned implicit method for the simulation of three-dimensional (3D) unsteady compressible flows using a so-called immersed membrane method (IMM) [G.H. Xia, Y. Zhao, J.H. Yeo, An immersed membrane method for simulation of fluid–structure interaction in bio-fluid flows, in: 1st International BioEn...

LOW MACH NUMBER MODELING OF TYPE Ia SUPERNOVAE. I. HYDRODYNAMICS

We introduce a low Mach number equation set for the large-scale numerical simulation of carbon-oxygen white dwarfs experiencing a thermonuclear deflagration. Since most of the interesting physics in a Type Ia supernova transpires at Mach numbers from 0.01 to 0.1, such an approach enables both a considerable increase in accuracy and a savings in computer time compared with frequently used compre...

A Two -Step Modification toward Implementing Compressible Source Terms in Low Compressible Flows

An example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit

Abstract The purpose of this work is to study an example of low Mach (Froude) number limit of compressible flows when the initial density (height) is almost equal to a function depending on x. This allows us to connect the viscous shallow water equation and the viscous lake equations. More precisely, we study this asymptotic with well prepared data in a periodic domain looking at the influence ...