Special Session 125: Models of Fluid Motion

Mode interactions of surface gravity waves in triangular domains
Panayiotis Panayotaros
IIMAS, Universidad Nacional Autonoma de Mexico
Mexico
Co-Author(s):    Eddaly Guerra Velasco, Boris A. Percino Figueroa, Rosa M. Vargas Maga\~na
Abstract:
We present a model of nonlinear mode interactions of 2-D gravity surface water waves in a domain with inclined lateral boundaries, assuming free surface potential flow. We consider an isosceles triangular domain with known linear modes and frequencies, and describe a preliminary analysis of the lowest nonlinear mode using normal forms. We also report on recent progress in the computation of linear modes and frequencies in more general triangular domains.