Solitary waves in compressible, stratified fluids

Robert R. Long; Jeffrey B. Morton

doi:10.3402/tellusa.v18i1.9179

Solitary waves in compressible, stratified fluids

Tellus

Volume 18 (1966): Issue 1

By: Robert R. Long and Jeffrey B. Morton

Open Access

|Jan 1966

Abstract

A solitary wave is found in a stratified, compressible fluid in a uniform gravity field. This wave depends for its existence on the compressibility of the medium no matter how small, although the speed of propagation is of the order of an internal gravity wave. The analytical discussion is carried out most fully for small compressibility. Another case, more appropriate for atmospheric problems, is solved by a numerical approach.

References

BENJAMIN , T. B. , 1962 , The solitary wave on a stream with an arbitrary distribution of vorticity . J. Fluid Mech ., 12 , pp. 97 – 116 .
Search in Google Scholar Back to article
BOUSSINESQ , J. , 1903 , Théorie analytique de la chaleur, 2. Gauthier Villars , Paris .
Search in Google Scholar Back to article
KEIILEGAN, G. II ., 1953 , Characteristics of internal solitary waves . J. of Res., Nat. Bur. Standards , 51 , p. 133 .
Search in Google Scholar Back to article
LAMB , SIR HORACE , 1932 , Hydrodynamics . Dover Press , New York .
Search in Google Scholar Back to article
LARSEN , L. H. , 1965 , Comments on solitary waves in the westerlies . J. Atm. Sciences , 22 , p. 222 .
Search in Google Scholar Back to article
LONG , R. R. , 1956 , Solitary waves in one- and two. fluid systems . Tellus , 8 , p. 460 .
Search in Google Scholar Back to article
LONG , R. R. , 1964 , Solitary waves in the westerlies . J. Atm. Sciences , 21 , pp. 197 – 200 .
Search in Google Scholar Back to article
LONG , R. R. , 1965 , On the Boussinesq approximation and its role in the theory of internal waves . Tellus , 17 , pp. 46 – 52 .
Search in Google Scholar Back to article
PETERS , A. S. , and STOKER , J. J. , 1959 , Solitary waves in liquids having a non-constant density . Comm. Pure App. Math ., 18 , p. 116 .
Search in Google Scholar Back to article
URSELL , F. , 1953 , The long-wave paradox in the theory of gravity waves . Proc. Cambr. Phil. Soc ., 49 , p. 685 .
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.3402/tellusa.v18i1.9179 | Journal eISSN: 3035-9554

Journal RSS Feed

Language: English

Page range: 79 - 85

Submitted on: Aug 30, 1965

Published on: Jan 1, 1966

Published by: Stockholm University Press

In partnership with: Paradigm Publishing Services

© 1966 Robert R. Long, Jeffrey B. Morton, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 18 (1966): Issue 1