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| ¡¡ Application of Quadratic Upwind Interpolation
of Convective Kinematics Scheme in Unstructured Grids to Solve Navierª²Stokes Equations Abstract£ºA new method to extend quadratic upwind interpolation of convective
kinematics scheme (QUICK scheme) for the unstructured grid was developed based on the
finite volume method. The discretization equations were deduced where the diffusion term
and convection term apply the Green function method and QUICK scheme respectively. Two
calculations were conducted for the flow in a Lid-driven square cavity and around a
circular cylinder.The accurateness and convergence of unstructured grid difference scheme
at different Reynolds number were discussed and a comparison was performed with the result
of high order scheme in structured grid.The results show that although the developed
method has a similar computational accuracy to the central difference scheme£¬its
convection stability is better and convergence is faster than those of the central
difference scheme.The critical grid Peclet number is about 8/3. In the complicated
geometry the simulation result with the proposed unstructured grid method is closer to the
measured data than that with the structured grid. |
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