title: Hybrid free-surface flows in a two-dimensional channel.
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.
authors.affiliation: University of Adelaide, Adelaide, South Australia. benjamin.binder@adelaide.edu.au
authors.forename: Benjamin James
authors.initials: BJ
authors.lastname: Binder
authors.forename: Jean-Marc
authors.initials: JM
authors.lastname: Vanden-Broeck