Data for Integration over discrete closed surfaces using the Method of Fundamental Solutions

Local surface properties, such as the components of curvature, can also be obtained accurately. The drawbacks and advantages of the method are discussed, and the potential to calculate properties of constant-density rigid bodies (e.g. the moment of inertia tensor) and averages of incompressible flow fields (e.g. average flow velocity and strain rate) is highlighted.<br><br>paperCode.m is the Matlab script used to generate the results of the paper (also included as an Appendix to the paper).

The input files for each geometry (which are loaded by paperCode.m) are contained in the directories 'ellipsoid', 'sphere', 'torus' and 'particle'. The three files needed by paperCode.m are: ri_[geometry]_[resolution].txt (positions of the surface points) rvj_[geometry]_[resolution].txt (positions of the volume points), and ni_[geometry]_[resolution].txt (outward-facing normal vectors at surface points) The resolutions are labelled, F (for fine), C (for Coarse), etc.