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Solutions to forced and unforced Lin-Reissner-Tsien equations for transonic gas flows on various length scales

Abstract:

The Lin-Reissner-Tsien equation is useful for studying transonic gas flows, and has appeared in both forced and unforced forms in the literature. Defining arbitrary spatial scalings, we are able to obtain a family of exact similarity solutions depending on one free parameter in addition to the model parameter holding the scalings. Numerical solutions compare favorably with the exact solutions in regions where the exact solutions are valid. Mixed wave-similarity solutions, which describe wave ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1088/0253-6102/67/3/309

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Institute of Physics Publisher's website
Journal:
Communications in Theoretical Physics Journal website
Volume:
67
Issue:
3
Pages:
309–316
Publication date:
2017-03-01
Acceptance date:
2017-01-11
DOI:
ISSN:
0253-6102 and 1572-9494
Source identifiers:
673271
Keywords:
Pubs id:
pubs:673271
UUID:
uuid:ce7cf6f7-ea35-4c48-943d-381d157a60d9
Local pid:
pubs:673271
Deposit date:
2017-01-27

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