International Conference «Mathematical and Informational Technologies, MIT-2013»
(X Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, September, 5–8, 2013

Budva, Montenegro, September, 9-14, 2013

Vyatkin A.V.   Shidurov V.V.   Wen X.  

Characteristics-like approach for solving two-dimensional continuity equations

Reporter: Vyatkin A.V.

In this talk we deal with two-dimensional continuity equation equipped with suitable known coefficients, initial and boundary conditions. To solve this problem we describe characteristics-like approach based on exact equality of two spatial integrals over different domains located at the neighboring temporal levels. Such approach allows to avoid Courant-Friedrichs-Lewy condition for time step. Thus it’s more convenient for problems with huge velocity than traditional methods. The order of convergence depends on accuracy of integral approximation. Presented scheme has convergence of first order. Additional advantage consists in the validity of exact conservation law for numerical solution. Theoretical investigations are confirmed by numerical experiments. Algorithm is generalized for three-dimensional case and coupled with finite element method for solving full system of Navier-Stokes equations. This work was supported by the Russian Foundation of Fundamental Researches, grant № 11-01-000224-a.

Abstracts file: Vyatkin-ICMSBRAS-Serbia-abstracts.doc
Full text file: Sh-Vy-XW-Sebria-abstracts-2013.pdf

To reports list

© 1996-2019, Institute of computational technologies of SB RAS, Novosibirsk