A Method for the Generation of General Three-Dimensional Coordinates between Bodies of Arbitrary Shapes.

Abstract

Abstract : Analytical development of a set of second order elliptic partial differential equations for the generation of three-dimensional curvilinear coordinates between two arbitrary shaped bodies is presented. The resulting equations have only two independent variables and therefore require an order of magnitude less working core capacity than when equations depending on all three independent variables are considered. The method also allows, in a straight forward manner the possibility of coordinate contraction in the desired regions. (Author)