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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
Statement of
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
RMID: 0020111545
DOI: 10.1103/PhysRevE.84.016302
Appears in Collections:Mathematical Sciences publications

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