LEAST-SQUARES SOLUTIONS OF A GENERAL NUMERICAL METHOD FOR ARBITRARY IRREGULAR GRIDS

✍ Scribed by ROY S. BATY; WALTER P. WOLFE

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 338 KB
• Volume: 40
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19970515)40:9<1701::aid-nme135>3.0.co;2-o

✦ Synopsis

This article describes a computational method to calculate solutions of elliptic boundary value problems using arbitrary irregular grids. The main feature of the numerical method is its ability to approximate solutions of differential equations without co-ordinate mapping or metric tensor information. For linear differential equations, the numerical method yields coupled linear systems on local computational cells. Optimal least-squares solutions of coupled linear systems are discussed and applied to the scheme. The numerical method is used to simulate potential flow for two model problems. The computational results are in very good agreement with analytical solutions.