Summary

Implementation of a logically rectangular grid structure for a specific finite volume method.

Description

In numerical simulations one of the major problems is the choice of the grid-structure. Usually the decomposition of the spatial domain in a numerical simulation is done via well-known orthogonal coordinates (like, e.g., Cartesian or polar coordinates). Many of these standard coordinates, however, cause problems for a numerical simulation. The singularity at the origin of a polar system of coordinates, for example, usually leads to the necessity to exclude a certain area around the origin. To overcome these difficulties the so-called logically rectangular grids where introduced, which can combine the desired properties of different grid-structures in one analytical prescription. The aim of this project is to implement and test such a grid-structure within the framework of a given finite volume code.