Automatic topology generation and generalised B spline mapping

Abstract

Completion strategies have been programmed for the removal of topological anomalies in a cube cluster. Synthesis of complicated grid structures ca then be defined with very few explicit statements. The realization of the differential equations uses a generalisation of B spline mapping for modelling through topological singularities in the field. Such B spline schemes provide accelerated convergence and ‘wide band’ accuracy. Relaxation sequences with B spline can then be more efficient than those for finite difference methods even for topologically regular grids.