Abstract:Summary
Taylor‐Hood finite elements provide a robust numerical discretization of Navier‐Stokes equations (NSEs) with arbitrary high order of accuracy in space. To match the accuracy of the lowest degree Taylor‐Hood element, we propose a very efficient time‐stepping methods for unsteady flows, which are based on high‐order semi‐implicit backward difference formulas (SBDF) and the inclusion of grad‐div term in the NSE. To mitigate the impact on the numerical accuracy (in time) of the extrapolation of the nonline… Show more
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