Lee waves: new understanding of a classical problem

S B Dalziel, Michael D Patterson, C P Caulfield, S Le Brun

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We explore the classical problem of lee wave generation by a stationary isolated three- dimensional obstacle in a uniform low-Froude-number stratified flow. By separating the permanent waves produced into three distinct categories, we compare detailed experimental measurements with theoretical predictions. We pay particular attention to the time-dependent establishment of the wave field and the orientation of the fan of lee waves that is established. As seen by previous authors, we find that the uniform flow can be divided into two regions: an essentially two-dimensional flow around the base of the obstacle and a wave-generating flow over the top portion of the obstacle. We show that quantitative agreement between experimental observations and predictions of linear wave theory is only possible if we take into account a small slope across the obstacle of the surface separating the quasi-two- dimensional flow around the base of the obstacle and the wave-generating flow over the top of the obstacle.
LanguageEnglish
Title of host publicationProceedings of VII International Symposium on Stratified Flows, 2011
EditorsA Cenedese, S Espa, R Purini
Pages1162
Number of pages1
StatusPublished - Aug 2011
Event7th International Symposium on Stratified Flows - Rome, Italy
Duration: 22 Aug 201126 Aug 2011

Conference

Conference7th International Symposium on Stratified Flows
CountryItaly
CityRome
Period22/08/1126/08/11

Fingerprint

lee waves
two dimensional flow
stratified flow
Froude number
uniform flow
wave generation
predictions
fans
slopes

Cite this

Dalziel, S. B., Patterson, M. D., Caulfield, C. P., & Le Brun, S. (2011). Lee waves: new understanding of a classical problem. In A. Cenedese, S. Espa, & R. Purini (Eds.), Proceedings of VII International Symposium on Stratified Flows, 2011 (pp. 1162)

Lee waves : new understanding of a classical problem. / Dalziel, S B; Patterson, Michael D; Caulfield, C P; Le Brun, S.

Proceedings of VII International Symposium on Stratified Flows, 2011. ed. / A Cenedese; S Espa; R Purini. 2011. p. 1162.

Research output: Chapter in Book/Report/Conference proceedingChapter

Dalziel, SB, Patterson, MD, Caulfield, CP & Le Brun, S 2011, Lee waves: new understanding of a classical problem. in A Cenedese, S Espa & R Purini (eds), Proceedings of VII International Symposium on Stratified Flows, 2011. pp. 1162, 7th International Symposium on Stratified Flows, Rome, Italy, 22/08/11.
Dalziel SB, Patterson MD, Caulfield CP, Le Brun S. Lee waves: new understanding of a classical problem. In Cenedese A, Espa S, Purini R, editors, Proceedings of VII International Symposium on Stratified Flows, 2011. 2011. p. 1162.
Dalziel, S B ; Patterson, Michael D ; Caulfield, C P ; Le Brun, S. / Lee waves : new understanding of a classical problem. Proceedings of VII International Symposium on Stratified Flows, 2011. editor / A Cenedese ; S Espa ; R Purini. 2011. pp. 1162
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