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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
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