A boundary conforming grid generation system for interface tracking
The problem discussed is that of grid generation for phase-transition problems, in which there is an interface which may develop fingers. The author proposes an algorithm based on blending with tensor-product \(B\)- splines. The parameters of the mapping are selected so as to minimize a functional designed to make the Jacobian nearly constant and the grid nearly orthogonal. Application is made to geometries arising in the Bridgman process for the solidification of binary alloys.
boundary conforming grid generation system
scientific article; zbMATH DE number 775948