Engineering Transactions, 25, 2, pp. 187-200, 1977

Numerical Solution of Navier-Stokes Equations in a Two-Dimensional Complex Domain

E.I. Mateeva-Collins
Sofia
Bulgaria

The paper is devoted to the numerical solution of the Navier-Stokes equations in the case of plane motion when the area for which we are seeking the solution can be distributed over adjacent to rectangles. For the rectangles one can find the "partial" solutions by the A. A. Dorodnitzyn method, from which one can construct the solution for the whole area. Numerical examples of the application of this method are given.

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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

A. A. DORODNITZYN, On a method of solution of the problem of flow of viscous fuid past bodies [in Russian], Fluid Dynamics Transactions, 3, PWN, Warsaw 1967.

A. A. DORODNITZYN, N. A. MELLER, On some approaches to the solution of the stationary Navier-Stokes equations [in Russian], Zhurnal vych. mat. i mat. phisiki, 8, 2, 1968.

A.A. DORODNITZYN, N.A. MELLER, Application of the small parameter method to the solution of Navier-Stokes equations, Fluid Dynamics Transactions, 5, PWN, Warszawa 1969.

E. I. MATEEVA, Numerical solution of the Navier-Stokes equations in complex domains, [in Russian], Zhurnal vych. mat. - mat. phisiki, 13, 2, 1973.