Turbulence via intermolecular potential: A weakly compressible model of gas flow at low Mach number

Unsteady Perturbed Flow at Low Mach Number of a Viscous Compressible Fluid

The problem of the unsteady perturbed two-dimensional flow at low Mach number of a viscous compressible fluid is studied taking the relation between the stress and deformation rates tensors that was obtained and applied in [1] and [3]. It is shown that the system of equations describing the phenomenon is totally hyperbolic and therefore the perturbations in any point P of the field are propagat...

Combustion in low Mach number isotropic turbulence

Turbulent reacting flows are often met in industrial applications where many simulations have been performed, mostly concerning problems in practical devices. In turbulent combustion, fluid dynamics is strongly coupled with chemical kinetics. Actually turbulent stirring may enhance chemical reaction or may lead to local quenching. A better knowledge of these interactions is required both for a ...

A Weakly Asymptotic Preserving Low Mach Number Scheme for the Euler Equations of Gas Dynamics

We propose a low Mach number, Godunov-type finite volume scheme for the numerical solution of the compressible Euler equations of gas dynamics. The scheme combines Klein’s non-stiff/stiff decomposition of the fluxes (J. Comput. Phys. 121:213-237, 1995) with an explicit/implicit time discretization (Cordier et al., J. Comput. Phys. 231:56855704, 2012) for the split fluxes. This results in a scal...

A Compressible Cfd Method for Flow with Sound from Very Low Mach Number to Supersonic

Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows

The relationship between the compressible magnetohydrodynamic flows with low Mach number and the incompressible magnetohydrodynamic flows is investigated. More precisely, the convergence of weak solutions of the compressible isentropic viscous magnetohydrodynamic equations to the weak solutions of the incompressible viscous magnetohydrodynamic equations is proved as the density becomes constant...