New higher-order upwind scheme for incompressible Navier-Stokes equations
A new upwind scheme for computation of incompressible flow has been developed. It was found that this scheme works well at high Reynolds number even using limited number of mesh points.
By using this scheme, three different types of flows were computed. At first, a cavity flow was simulated at Re=5000, with 40×40 grid, and the results agree very well with the computation with 257×257 grid by Ghia et al.
Secondly, a flow past a circular cylinder was simulated. The sharp drag reduction in the critical Reynolds number range is clearly obtained.
Thirdly, a three-dimensional turbulent flow in a duct was simulated and large structures in the turbulent flow are captured by this scheme without any turbulence model. Agreement of statistical values with experiments and computations by Moin et al. are excellent. Moreover the transition to turbulence is well simulated.
From these results, we can conclude that this scheme is very widely applicable and robust and easy to program for any type of incompressible flow computations.
KeywordsReynolds Number Large Eddy Simulation Circular Cylinder High Reynolds Number Mesh Point
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