Fluids, discontinuities and renormalization group methods

Oliver A. McBryan

Physica A: Statistical Mechanics and its Applications, 1984, vol. 124, issue 1, 481-493

Abstract: 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, renormalization-group type numerical methods provide very efficient solution methods. These same techniques might also be useful in analyzing quantum field theories numerically.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:124:y:1984:i:1:p:481-493

DOI: 10.1016/0378-4371(84)90264-4

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