Инд. авторы:	Barakhnin V.B., Khakimzyanov G.S.
Заглавие:	On the algorithm for one nonlinear dispersive shallow-water model
Библ. ссылка:	Barakhnin V.B., Khakimzyanov G.S. On the algorithm for one nonlinear dispersive shallow-water model // Russian Journal of Numerical Analysis and Mathematical Modelling. - 1997. - Vol.12. - Iss. 4. - P.293-317. - ISSN 0927-6467. - EISSN 1569-3988.
Внешние системы:	DOI: 10.1515/rnam.1997.12.4.293; РИНЦ: 13259825; WoS: A1997XX26000001;
Реферат:	eng: We consider the finite difference algorithm for modelling surface waves in the framework of one nonlinear dispersive model. The algorithm proposed allows us to use nonstationary adaptive grids adjusting to the complex geometry of the domain and to the peculiarities of the solution. A distinctive feature of the algorithm is to separate the elliptic and hyperbolic parts in the original equations. In order to solve an elliptic equation obtained we construct a finite difference approximation of the scheme of the type 'oblique cross' with a selfadjoint and positive definite operator. We estimate the boundaries of the spectrum of this operator. We give an example of the numerical modelling of the oblique run-up of a solitary wave on a vertical wall.
Издано:	1997
Физ. характеристика:	с.293-317