Elliptic grid generation based on Laplace equations and algebraic transformations. (English) Zbl 0823.65120

Spekreijse, S. P.

J. Comput. Phys. 118, No. 1, 38-61 (1995).

This paper presents an elliptic grid generation method to generate boundary conforming grids in domains in 2D and 3D physical space and on minimal surface and parametrized surfaces in 3D physical space. This method is based on a composite mapping which consists of a nonlinear transfinite algebraic transformation and an elliptic transformation. This mapping defines the grid point distribution in the interior of the domains or surfaces.

Reviewer: Q.Duan (Lafayette)

MSC:

65N50	Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
53A10	Minimal surfaces in differential geometry, surfaces with prescribed mean curvature

Keywords:

elliptic grid generation; boundary conforming grids; minimal surface; nonlinear transfinite algebraic transformation; elliptic transformation