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The implicit line-by-line recurrence method in application to the solution of problems of incompressible viscous fluid dynamics
Computer Research and Modeling, 2015, v. 7, no. 1, pp. 35-50Views (last year): 3. Citations: 3 (RSCI).In the paper the results of applying the implicit line-by-line recurrence method for solving of systems of elliptic difference equations, arising, in particular, at numerical simulation of dynamics of incompressible viscous fluid are considered. Research is conducted on the example of the problem about a steady-state two-dimensional lid-driven cavity flow formulated in primitive variables ($u,\, v,\, p$) for large Re (up to 20 000) and grids (up to 2049×2049). High efficiency of the method at calculation of a pressure correction fields is demonstrated. The difficulties of constructing a solution of the problem for large Rе are analyzed.
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International Interdisciplinary Conference "Mathematics. Computing. Education"