1994 Volume 59 Issue 458 Pages 153-161
A third-order upwind finite element scheme for direct numerical simulation of high Reynolds number flows is presented. The scheme is proposed based on both the Petrov-Galerkin formulation and the mixed method which enables to use the linear elements. Numerical dissipation added into the scheme is expressed by the fourth-differentials with respect to the flow velocities, so that accuracy of the discretization for the advection therms becomes a third-order. Numerical results of flows in a cavity are presented to illustrate the effectiveness and robustness of the proposed upwind scheme.
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