Low-Dispersion Meshes for Scattering Problems
Hakula, Harri
5th International Conference on Numerical Grid Generation in Computational Field Simulations, Mississippi State University, pp.639-646, April 1996
For scattering problems, e.g. The Helmholtz equation, the ideal mesh in 2D is a structured mesh of equilateral triangles, since the numerical dispersion and internal reflections caused by the mesh are then minimal. However, if the scattering body does not conform to the mesh, one has to add unstructured elements to the mesh.
In this paper we describe a simple modification to the Rebay's method which leads to meshes of higher quality in the context of the application. Even though the Rebay's method is a variant of Delaunay's algorithms, it does include the concept of a front. By controlling the generation of fronts in the mesh we can always choose the outer boundary of the computational domain so that the mesh will be structured far from the scattering body and the only anisotropic elements are close to the body. As a result of this, one can use the same generator both for electromagnetic and flow simulations in 2D. In multi-body configurations the meshes are intimately dependant on the relative distances between the bodies.
Contact author(s) or publisher for availability and copyright information on above referenced article