Ye.V.Brujatskiy, A.G.Kostin, Ye.I.Nikiforovich, N.V.Rozumnyuk A method of numerical solution of Navier-Stokes equations in the pressure-velocity variables |
Applied hydromechanics, Vol. 10 (82) ¹ 2, (2008) |
| Full Navier-Stokes equations with velocity-pressure variables are solved for viscid incompressible fluid using a finite differences method. The problem is set in a non-stationary formulation and is solved for ascertainment. To determine pressure, elliptic Poisson equation is obtained using substitution of expressions for velocity components into the continuity equation similar to MAC-method. Discretization of initial equations is made on sparsed grids. The obtained universal discrete analog of Navier-Stokes equations in a form of a system of linear algebraic equations is solved with an iteration method. Efficiency of the differences scheme as well as the solution algorithm are tested for a case of flow in an opening section of a flat rectilinear channel. |
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| TEXT LANGUAGE: Russian |