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Article information
2003 , Volume 8, Special issue, p.109-122
Styvrin A.V., Shurina E.P., Chubarov L.B.
The modified method offinite volume for shallow water system equations approximation on unstructured meshes
A new computational algorithm for modeling the water wave propagations, based on nonlinear theory of shallow water is described. The explicit-implicit scheme is applied for time discretization. Mixed Modified Finite Volume Method (MFVM) is used for spatial approximation of the equation system. The linear basis functions are used for the wave surface, the square basis function are used for the velocity fields. The suggested algorithm is realized on unstructured triangular mesh. Numerical results are presented.
Classificator Msc2000:- *76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
- 76M12 Finite volume methods
- 76M20 Finite difference methods
Keywords: solitary wave, periodic wave
Author(s):
Styvrin A V
Office: Novosibirsk state university
Address: 630090, Russia, Novosibirsk
E-mail: Ass@sibmail.ru
Shurina E P
Office: Novosibirsk state university
Address: 630090, Russia, Novosibirsk
E-mail: shurina@online.sinor.ru
Chubarov Leonid Borisovich
Dr. , Professor
Position: General Scientist
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, ac. Lavrentyev Ave., 6
Phone Office: (383) 333 18 82
E-mail: chubarov@ict.nsc.ru
SPIN-code: 3048-2318
Bibliography link:
Styvrin A.V., Shurina E.P., Chubarov L.B. The modified method offinite volume for shallow water system equations approximation on unstructured meshes // Computational technologies. 2003. V. 8. Special issue. P. 109-122
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