Three-dimensional elliptic grid generations using a multi-block method

Abstract

A computer program for generating threedimensional grids in general regions is presented. The program uses a multi-block approach to calculate grids by solving n system of elliptic equations. transformation matrix is introduced in thc computational space to link grid indexine systems and control functions of adjacent blocks. Tho transformation matrix coupled with an extra-layersurrounding-each-block concept greatly simplifies the complexity of coding and bookkeeping. block is logically independent of other blocks in the sense that its indexing system may be arbitrary. Both interior and interface points are calculatcd by the same elliptic solver, hence the computed grid lines have complete continuity through block interfaces. Several computed examples are given to demonstrate the geometric flexibility of the present program and to show the effects of control functions on grid distributions.

Multi-block multigrid calculations of a system of elliptic grid generators

“…P and Q at b l o c k interfaces are re-calculated using a n averaging procedure similar to that described in Ref. 16 for the 3D c a s e . ' 1 v In the single-block surface-grid code RCRIDS7.…”