Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/71067
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Type: | Journal article |
Title: | Hybrid free-surface flows in a two-dimensional channel |
Author: | Binder, B. Vanden-Broeck, J. |
Citation: | Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2011; 84(1):016302-1-016302-10 |
Publisher: | American Physical Soc |
Issue Date: | 2011 |
ISSN: | 1539-3755 1550-2376 |
Statement of Responsibility: | Benjamin James Binder and Jean-Marc Vanden-Broeck |
Abstract: | Hybrid free-surface flows past disturbances in a two-dimensional channel are identified and studied. The fluid is assumed to be inviscid and incompressible, and the flow to be steady and irrotational. The disturbances consist of a step in the bottom of the channel and a flat object lying on the free-surface (e.g., a sluice gate). A weakly nonlinear one-dimensional analysis is used to classify the possible types of solutions, and nonlinear solutions are obtained numerically by a boundary integral equation method. |
Rights: | ©2011 American Physical Society |
DOI: | 10.1103/PhysRevE.84.016302 |
Published version: | http://dx.doi.org/10.1103/physreve.84.016302 |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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hdl_71067.pdf | Published version | 940.97 kB | Adobe PDF | View/Open |
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