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Părău, Emilian; Vanden-Broeck, Jean-Marc

Nonlinear two- and three-dimensional free surface flows due to moving disturbances. (English) Zbl 1012.76012

Eur. J. Mech., B, Fluids 21, No. 6, 643-656 (2002).
Summary: We present boundary integral equation methods for computing two- and three-dimensional nonlinear free surface flows. In two dimensions, integral formulations can be derived by using complex variables or Green’s functions. Both formulations are shown to yield the same level of accuracy. The formulation based on Green’s functions is extended to three dimensions, and accurate numerical results are presented for moving distributions of pressure and moving submerged disturbances.

Cited in 24 Documents

MSC:

76B07 Free-surface potential flows for incompressible inviscid fluids
76M40 Complex variables methods applied to problems in fluid mechanics

Keywords:

boundary integral equation methods; nonlinear free surface flows; complex variables; Green’s functions; moving disturbances
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References:

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