Modeling of the climbing of nonlinear surface gravity waves on the basis of Navier-Stokes equations
DOI:
https://doi.org/10.7242/1999-6691/2012.5.3.38Keywords:
Navier-Stokes equations, numerical modeling, decomposition method, climbing of nonlinear surface gravity wavesAbstract
The paper deals with the problem of numerical modeling of the climbing of nonlinear surface gravity waves on the basis of Navier-Stokes equations. The two-dimensional formulation of the problem is considered, and the boundary and initial conditions are defined. The decomposition method for physical processes is used to construct a discrete model capable of accounting for the factor of filled cells. The results of two-dimensional numerical modeling of the process of climbing of nonlinear surface gravity waves on shallow water areas are presented.
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