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Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers. (English) Zbl 1071.76038
Summary: Numerical calculations of the 2-D steady incompressible driven cavity flow are presented. The Navier-Stokes equations in streamfunction and vorticity formulation are solved numerically using a fine uniform grid mesh of $$601 \times 601$$. The steady driven cavity flow solutions are computed for $$\text{Re} \leqslant 21 000$$ with a maximum absolute residuals of the governing equations that were less than $$10^{-10}$$. A new quaternary vortex at the bottom left corner and a new tertiary vortex at the top left corner of the cavity are observed in the flow field as the Reynolds number increases. Detailed results are presented and comparisons are made with benchmark solutions found in the literature.

##### MSC:
 76M20 Finite difference methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids 76D17 Viscous vortex flows
##### Keywords:
Navier-Stokes equations; quaternary vortex; tertiary vertex
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