A two-step stabilized finite element algorithm for the Smagorinsky model

Bo Zheng and Yueqiang Shang

Applied Mathematics and Computation, 2022, vol. 422, issue C

Abstract: This study considers an efficient two-step stabilized finite element algorithm for the simulation of Smagorinsky model, which involves solving a stabilized nonlinear Smagorinsky problem by the lowest equal-order P1−P1 finite elements and solving a stabilized linear Smagorinsky problem by the quadratic equal-order P2−P2 finite elements. We theoretically and numerically show that the present two-step algorithm can provide an approximate solution with basically the same accuracy as that of solving the stabilized P2−P2 finite element method, and represent a reduction in CPU time.

Keywords: Smagorinsky model; Stabilized method; Two-step algorithm; Equal-order finite element (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:422:y:2022:i:c:s0096300322000571

DOI: 10.1016/j.amc.2022.126971

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