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Fluids, discontinuities and renormalization group methods

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  • McBryan, Oliver A.

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.

Suggested Citation

  • McBryan, Oliver A., 1984. "Fluids, discontinuities and renormalization group methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 124(1), pages 481-493.
  • Handle: RePEc:eee:phsmap:v:124:y:1984:i:1:p:481-493
    DOI: 10.1016/0378-4371(84)90264-4
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