Numerical techniques for the transformation to an orthogonal coordinate system aligned with a vector field

✍ Scribed by J.E. Castillo; J.S. Otto

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 783 KB
• Volume: 40
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00177-2

✦ Synopsis

We explore the use of variational grid-generation to perform alignment of a grid with a given vector field. Variational methods have proven to be a powerful class of grid-generators, but when they are used in alignment, difficulties may arise in treating boundaries due to an incompatibility between geometry and vector field. In this paper, a refinement of the procedure of iterating boundary values is presented. It allows one to control the quality of the grid in the face of the above-mentioned incompatibility. This procedure may be incorporated into any variational alignment algorithm. We demonstrate its use with respect to a new quasi-variational alignment method having a particularly simple structure. The latter method is comparable to Knupp's method (see ), but avoids use of the Winslow equations. (~) 2000 Elsevier Science Ltd. All rights reserved.