Three-dimensional simulation of the runup of nonlinear surface gravity waves
I. B. Abbasov
Taganrog Institute of Technology, Southern Federal University, per. Nekrasovskii 44, Taganrog, 347928, Russia
The runup of nonlinear surface gravity waves is numerically simulated in two and three dimensions on the basis of the Navier–Stokes equations. The three-dimensional problem is formulated, and the boundary and initial conditions are described. The splitting method over physical processes is used to construct a discrete model taking into account the cell occupation coefficient. The runup of nonlinear surface gravity waves is simulated in two dimensions for slopes of various geometries, and the numerical results are analyzed. The structural features of the simulated three-dimensional basin are described. Three-dimensional models for the staged runup of nonlinear surface gravity waves breaking on coastal slopes in shallow water areas are considered.
three- and two-dimensional model of wave runup, Navier–Stokes equations, splitting method, coastal slopes, shallow water basin, runup and rundown of surface waves.
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Computational Mathematics and Mathematical Physics, 2014, 54:5, 871–886
I. B. Abbasov, “Three-dimensional simulation of the runup of nonlinear surface gravity waves”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 871–886; Comput. Math. Math. Phys., 54:5 (2014), 871–886
Citation in format AMSBIB
\paper Three-dimensional simulation of the runup of nonlinear surface gravity waves
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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