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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 8, Pages 1224–1236
(Mi zvmmf3221)
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This article is cited in 1 scientific paper (total in 1 paper)
Special features of difference schemes for solving the two-dimensional Navier–Stokes equations, connected with the formulation of the boundary conditions on the solid surface
M. N. Zakharenkov Moscow
Abstract:
In the context of the numerical treatment of the two-dimensional Navier–Stokes equations, the boundary conditionsatasolid surface may be realized in different ways, some of which are examined. The approach considered here assumes that the equations of the system are solved separately. It is shown that then, irrespective of the specific formulation of the Navier–Stokes equations for an incompressible viscous
liquid – in terms of velocity-pressure, velocity-vorticity or vorticity-stream function – the boundary conditions can be realized in an algorithmically universal way, based on a two-parameter formula previously proposed to approximate vorticity on a wall.
Received: 10.05.1988 Revised: 21.09.1989
Citation:
M. N. Zakharenkov, “Special features of difference schemes for solving the two-dimensional Navier–Stokes equations, connected with the formulation of the boundary conditions on the solid surface”, Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990), 1224–1236; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 182–190
Linking options:
https://www.mathnet.ru/eng/zvmmf3221 https://www.mathnet.ru/eng/zvmmf/v30/i8/p1224
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