Heterogeneous Domain Decompositions for the Efficient Simulation of Wave Propagation in Complex Domains

This paper advances the idea of a heterogeneous domain decomposition for Computational Aeroacoustics (CAA). Direct simulations of aeroacoustic problems are accelerated by sub-dividing the computational domain into smaller domains. In each of these sub-domains the equations, the discretization, the mesh and the time step may be different and are...

Arbitrary high order accurate time integration schemes for linear problems

Numerical schemes for wave propagation over long distances need good wave propagation properties with low dispersion and low dissipation errors. Suitable numerical methods are methods with high order of accuracy in space and time. For space discretization on structured grids, high order finite difference schemes are efficient, and, if a...

High order Lax-Wendroff-type schemes for linear wave propagation

The second order accurate Lax-Wendroff scheme is based on the first three terms of a Taylor expansion in time in which the time derivatives are replaced by space derivatives using the governing evolution equations. The space derivatives are then approximated by central difference formulas. In this paper we extent this idea and truncate the...

A block structured Low Mach Number MPV scheme for heterogeneous domain decomposition

This paper is concerned with heterogeneous domain decomposition for semi-implicit Low Mach number schemes. The actual scheme is the Multiple Pressure Variables (MPV) scheme, which can be applied for a large range of Low Mach Number flows, ranging from natural convection flows with large temperature and density changes to aero-acoustics with...