Boundary/Interface Fitted Grid Generation Using Tensor Product B-splines: APreliminary Study

摘要

Progress in the development of an algebraic grid generation system that tracks asolid-liquid interface during directional solidification of a binary alloy is discussed. A single mapping, constructed with tensor product B-splines, is proposed for calculations of both shallow and deep solidification cells. The initial spline coefficients for the coordinate mapping are modified to minimize a discrete functional that regulates the smoothness and orthogonality of the mesh. The use of transfinite blending function interpolation to obtain an initial grid is examined.