Authors: | Schweizer, Ben |
Title: | Bifurcation Analysis for Surface Waves Generated by Wind |
Language (ISO): | en |
Abstract: | We study the generation of surface waves on water as a bifurcation phenomenon. For a critical wind-speed there appear traveling wave solutions. While linear waves do not transport mass (in the mean), nonlinear effects create a shear-flow and result in a net mass transport in the direction of the wind. We derive an asymptotic formula for the average tangential velocity along the free surface. Numerical investigations confirm the appearance of the shear-flow and yield results on the bifurcation picture. |
Subject Headings: | free boundary problems bifurcation analysis viscous flows finite element discretization |
URI: | http://hdl.handle.net/2003/25099 http://dx.doi.org/10.17877/DE290R-15789 |
Issue Date: | 2001 |
Provenance: | Society for Industrial and Applied Mathematics |
URL: | http://link.aip.org/link/?SMM/62/407/1 |
Citation: | Bifurcation Analysis for Surface Waves Generated by Wind, Ben Schweizer, SIAM J. Appl. Math. 62, 407 (2001), DOI:10.1137/S0036139900372569 |
Appears in Collections: | Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
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BifurcationAnalysisSurfaceWaves.pdf | 236.79 kB | Adobe PDF | View/Open |
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