Fluids, discontinuities and renormalization group methods

✍ Scribed by Oliver A. McBryan

• Publisher: Elsevier Science
• Year: 1984
• Tongue: English
• Weight: 578 KB
• Volume: 124
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(84)90264-4

✦ Synopsis

A.P. Sloan Foundation Fellow. Supported in part by Department of Energy grant DEACO278ER03077 A wide range of physical phenomena involve shocks or discontinuous solutions. Examples range from oil reservoir simulation to laser fusion and crystal growth. Physics-independent numerical methods for such problems are currently being developed, based on data-structures for representing multivalued data and topologically complex discontinuity surfaces. This is in contrast with standard numerical methods which are usually based on rectangular arrays. Applications are under way to a variety of physical systems. For elliptic problems, even with sharp discontinuities, renormalizationgroup type numerical methods provide very efficient solution methods. These same techniques might also be useful in analyzing quantum field theories numerically.