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

Danayev N.   Amenova F.S.  

Convergence and iterational methods in solving net Navier-Stokes equations for incompressible fluids in (Ψ,Ω) variables

Reporter: Danayev N.

For the two-dimensional stationary incompressible fluid equations in variables "function-vorticity" is considered five-point difference scheme with homogeneous boundary conditions for the stream function. The vorticity boundary conditions are taken as Tom formulas. Executing some difference operator relations, approximating the convective terms and conditions equivalent to the conditions considered unique solvability of difference equations of incompressible fluid, it is shown that the order of convergence is Ο(h3/2).

Various iterative numerical algorithms of solving the equations are considered, for which convergence rates are estimated.

Abstracts file: Тезисы доклада для Сербии(1).docx

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