A Conservative Pressure-Correction Method on Collocated Grid for Low Mach Number Flows

A discontinuous Galerkin method for inviscid low Mach number flows

10 In this work we extend the high-order Discontinuous Galerkin (DG) Finite element 11 method to inviscid low Mach number flows. The method here presented is designed 12 to improve the accuracy and efficiency of the solution at low Mach numbers using 13 both explicit and implicit schemes for the temporal discretization of the compress14 ible Euler equations. The algorithm is based on a classica...

Adaptive hp-Finite Element Method for Low Mach Number Flows

Flow configurations in the low-Mach number regime usually lead locally to large gradients in the velocity field as well as in the temperature variable. Such structures including boundary layers are typical in the study of e.g. heat transfer problems or more generally in situations where compression effects are mainly due to thermodynamical effects (see e.g. [1]). We propose a method based on hp...

Low Mach Number Flows and Combustion

We prove uniform existence results for the full Navier-Stokes equations for time intervals which are independent of the Mach number, the Reynolds number and the Péclet number. We consider general equations of state and we give an application for the low Mach number limit combustion problem introduced by Majda in [18].

Conservative high-order finite-difference schemes for low-Mach number flows

High order conservative finite difference scheme for variable density low Mach number turbulent flows

The high order conservative finite difference scheme of Morinishi et al. [Y. Morinishi, O.V. Vasilyev, T. Ogi, Fully conservative finite difference scheme in cylindrical coordinates for incompressible flow simulations, J. Comput. Phys. 197 (2004) 686] is extended to simulate variable density flows in complex geometries with cylindrical or cartesian non-uniform meshes. The formulation discretely...