Geodesic
Mathematical model for calculating coastal wave processes
Matematičeskoe modelirovanie, Tome 24 (2012) no. 8, pp. 32-44

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A mathematical model for the wave hydrodynamics problem, describing wash ashore and taking into account such physical parameters as turbulence exchange, complexity of domain and coastal line geometry, and bottom friction is developed. For the given mathematical model a discrete model is constructed, taking into account dynamical changing of the calculation domain. Proposed technique for mathematical models sampling takes into account fullness of the control cells. This technique allows improving the real accuracy of a solution in case of complex domain geometry, by improving approximation of the boundary. A software implementation and numerical experiments of the posed problem of the wave hydrodynamics are performed.
Keywords: hydrodynamics, numerical experiment, wave process, balance method, numerical experiment. 
@article{MM_2012_24_8_a1,
     author = {A. I. Sukhinov and A. E. Chistyakov and E. F. Timofeeva and A. V. Shishenya},
     title = {Mathematical model for calculating coastal wave processes},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {32--44},
     publisher = {mathdoc},
     volume = {24},
     number = {8},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_8_a1/}
}
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A. I. Sukhinov; A. E. Chistyakov; E. F. Timofeeva; A. V. Shishenya. Mathematical model for calculating coastal wave processes. Matematičeskoe modelirovanie, Tome 24 (2012) no. 8, pp. 32-44. http://geodesic.mathdoc.fr/item/MM_2012_24_8_a1/