V. A. Galkin, A. O. Dubovik, A. A. Epifanov, “Approximate methods for equations of incompressible fluid”, Zh. Vychisl. Mat. Mat. Fiz., 2017, Volume 57, Number 2,Pages <nobr>275

This article is cited in 1 paper

Approximate methods for equations of incompressible fluid

V. A. Galkin^a, A. O. Dubovik^a, A. A. Epifanov^b

^a Surgut State University, Surgut, Khanty-Mansiysk avtonomnyi okrug, Russia
^b Motorola Solutions, Surgut, Moscow, Russia

Abstract: Approximate methods on the basis of sequential approximations in the theory of functional solutions to systems of conservation laws is considered, including the model of dynamics of incompressible fluid. Test calculations are performed, and a comparison with exact solutions is carried out.

Key words: functional solutions to systems of conservation laws, convergence of approximate methods, equations of incompressible fluid, exact solutions.

UDC: 519.63

Received: 09.09.2015
Revised: 11.04.2016

DOI: 10.7868/S0044466917020077