Mathematical model for calculating coastal wave processes. (Russian, English) Zbl 1289.76010
Mat. Model. 24, No. 8, 32-44 (2012); translation in Math. Models Comput. Simul. 5, No. 2, 122–129 (2013).
Mathematical model of wave hydrodynamics decribing waves setup on the seashore and taking into account physical parameters like a turbulent exchange, a complex bed and shore line geometry, and a bed friction, is developed. A discret version of the model taking into consideration a dynamical change of the computational domain geometry is proposed. A programme realization of the wave hydrodynamics problem formulated is fulfield and numerical tests are realized.
Reviewer: Sergei Georgievich Zhuravlev (Moskva)
MSC:
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
| 76D33 | Waves for incompressible viscous fluids |
| 76Fxx | Turbulence |
| 86A05 | Hydrology, hydrography, oceanography |
| 65M55 | Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs |
| 47Bxx | Special classes of linear operators |
Keywords:
water waves, gravity waves; turbulence; dispersion and scattering, nonlinear interaction; waves; hydrology; hydrography; oceanography; muligrid methods; domain decomposition; special classes of linear operatorsReferences:
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