Инд. авторы:	Fedotova Z.I., Pashkova V.Yu.
Заглавие:	Methods of construction and the analysis of difference schemes for nonlinear dispersive models of wave hydrodynamics
Библ. ссылка:	Fedotova Z.I., Pashkova V.Yu. Methods of construction and the analysis of difference schemes for nonlinear dispersive models of wave hydrodynamics // Russian Journal of Numerical Analysis and Mathematical Modelling. - 1997. - Vol.12. - Iss. 2. - P.127-149. - ISSN 0927-6467. - EISSN 1569-3988.
Внешние системы:	DOI: 10.1515/rnam.1997.12.2.127; РИНЦ: 13264887; WoS: A1997XC93500003;
Реферат:	eng: In this paper we consider the methods of constructing difference schemes of the same type for three nonlinear dispersive models of wave hydrodynamics. These models differ in that they take into account nonlinearity to a variable degree and in the method of introducing the integrated velocity. The aim of this paper is to estimate both the properties of difference schemes proposed, which have first been studied in a linear approximation, and those of the models approximated by them. They are studied in the problem on interaction of a long wave with a shelf at the bottom when the effect of nonlinearity and dispersion on the behaviour of the wave becomes substantial. We compare the numerical calculations with the experimental data. This allows us to preestimate the simplifications used when deriving the models and make some progress in the applicability of nonlinear dispersive equations to the solution of the problems on the transformation of long waves in shoal water.
Издано:	1997
Физ. характеристика:	с.127-149