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...

Two-Scale Simulation of Acoustic Equations

We develop a numerical method for solving the linearized acoustic equations on a grid involving zones with cells of very different sizes, in order for example to compute sources coming from the flow on a fine grid. The method is based on domain decomposition techniques which lead us to introduce two auxiliary problems and show theoretically how...

An ALE-Chimera method for large deformation fluid structure interaction

This note discusses a combination of the Chimera fixed grid approach and Arbitrary Lagrangean Eulerian ('ALE') based methods for large deformation fluid structure interaction ('FSI'). The governing equations for incompressible flows in an Eulerian framework, a rotating frame of reference and an ALE-setting are discussed in order to point out the...

Domain Decomposition Approach for Automatic Parallel Generation of 3D Unstructured Grids

The desire to simulate more and more geometrical and physical features of technical structures and the availability of parallel computers and parallel numerical solvers which can exploit the power of these machines have lead to a steady increase in the number of grid elements used. Memory requirements and computational time are too large for...

A Reduced Basis Element Method for Complex Flow Systems

The reduced basis element method is a new approach for approximating the solution of problems described by partial differential equations within domains belonging to a certain class. The method takes its roots in domain decomposition methods and reduced basis discretizations. The basic idea is to first decompose the computational domain into...

Two level algorithms for partitioned fluid-structure interaction computations

In this paper we use the multigrid algorithm - commonly used to improve the efficiency of the flow solver - to improve the efficiency of partitioned fluid-structure interaction iterations. Coupling not only the structure with the fine flow mesh, but also with the coarse flow mesh (often present due to the multigrid scheme) leads to a significant...