On one class of difference schemes for solution of Navier-Stokes equations in velocity-pressure variables

Article type: Research Article

Authors: Abrashin, Vyacheslav | Lapko, Sergey

Affiliations: Institute of Mathematics, Belorussian Academy of Sciences, 220072 Minsk, Surganova St.11, Belorussian Republic

Abstract: Difference methods in velocity-pressure variables having a number of important properties are constructed and investigated in this paper for a two-dimensional Navier-Stokes equation. Power neutral approximations of convective members and pressure gradients ensure a conservativity and absolute stability of the proposed algorithms. Their stability and convergence are investigated. The existence and uniqueness of velocity components and pressure gradients is proved.

Keywords: noniterative and iterative schemes, conservativity and absolute stability, iterative process convergence, existence and uniqueness of solution

DOI: 10.3233/INF-1992-3201

Journal: Informatica, vol. 3, no. 2, pp. 141-158, 1992