paper

Explicit equations for two-dimensional water waves with constant vorticity

arXiv:1704.03643 · doi:10.1103/PhysRevE.77.037302

Abstract

Governing equations for two-dimensional inviscid free-surface flows with constant vorticity over arbitrary non-uniform bottom profile are presented in exact and compact form using conformal variables. An efficient and very accurate numerical method for this problem is developed.

4 pages, 6 figures, published in 2008

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