| Инд. авторы: | Shokina N.Y., Khakimzyanov G.S. |
| Заглавие: | Numerical modelling of surface waves in the framework of shallow water model |
| Библ. ссылка: | Shokina N.Y., Khakimzyanov G.S. Numerical modelling of surface waves in the framework of shallow water model // Proceedings of VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS-2016): Crete Island, Greece, 5–10 June 2016. - 2016. - Vol.1. - P.1104-1126. - ISBN: 978-618-82844-0-1. |
| Внешние системы: | РИНЦ: 27578346; SCOPUS: 2-s2.0-84995520577; |
| Реферат: | eng: An improved adaptive grid method is considered for the numerical solution of the problems on propagation and run-up of surface waves, described by the one-dimensional shallow water model. The modified algorithm for the realization of the explicit predictor-corrector scheme is presented, which is based on the new way of computation of the right-hand side of the shallow water equations. A new method for choosing the scheme parameters on the basis of the analysis of the differential approximation is suggested that guarantees the satisfaction of the TVD-property for the improved predictor-corrector scheme. The presented method for construction of different conservative schemes on moving grids is based on an appropriate choice of the scheme parameters for the predictor-corrector scheme, which represents the canonical form of the two-layer explicit schemes for the shallow water equations. The improved difference boundary conditions are obtained at the moving waterfront point using the known analytical solutions of the shallow water equations in the vicinity of a water-land boundary. These boundary conditions approximate the analytical solutions with a higher accuracy than the conditions used in the earlier works. The numerical results for the improved adaptive grid method are presented. |
| Ключевые слова: | Water waves; Shallow water equations; Run-up; Predictor-corrector schemes; Non-linear shallow water equations; Finite difference scheme; Differential approximations; Adaptive-grid method; Adaptive grids; Surface waves; One dimensional; Numerical methods; Nonlinear equations; Finite difference method; Equations of motion; Computational methods; Boundary conditions; Surface waves; Run-up; Nonlinear shallow water equations; Finite-difference scheme; Adaptive grid; Numerical models; |
| Издано: | 2016 |
| Физ. характеристика: | с.1104-1126 |
| Конференция: | Название: VII European Congress on Computational Methods in Applied Sciences and Engineering Аббревиатура: ECCOMAS-2016 Город: Crete Island Страна: Greece Даты проведения: 2016-06-05 - 2016-06-10 Ссылка: https://www.eccomas2016.org/ |
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