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

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

Utzmann, J.
Munz, C.D.

2006-09-07

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 adapted to the local behavior of the solution. High order methods such as ADER-Finite Volume and ADER-Discontinuous Galerkin methods are used to reduce the total number of elements and to ensure good wave propagation properties. Here, we integrate a high order Finite Difference method into the coupling framework. In the examples section, convergence rates for the coupling procedure in 3D show, that high order of accuracy is maintained globally also for partitioned domains. A numerical example that involves multiple domains underlines the flexibility of the approach. Another example shows that the proposed domain decomposition also holds for the coupling of the Navier-Stokes equations with the Linearized Euler Equations.

aeroacoustics
domain decomposition
direct simulation
high-order methods
grid coupling

http://resolver.tudelft.nl/uuid:d87c7c3e-13e2-4207-b6d4-be305ec9f952

Conference proceedings

conference paper

(c) 2006 Utzmann, J.; Munz, C.D.