Note on the effect of grad-div stabilization on calculating drag and lift coefficients

Yasasya Batugedara and Kyle J. Schwiebert

Applied Mathematics and Computation, 2022, vol. 434, issue C

Abstract: In recent years, grad-div stabilization has become a popular technique for improving the mass conservation of a solution to the incompressible Navier-Stokes equations (NSE). Grad-div stabilization can be easily implemented in any code that already uses the very common Taylor-Hood finite elements. In this paper we do a close review of the grad-div stabilized and modular grad-div stabilized NSE applied to a well-known benchmark problem: 2D flow around a cylindrical obstacle. We show that using current methods grad-div stabilization can change the calculated drag and lift coefficients. We will then suggest a remedy for the given test problem and verify our results by showing the grad-div parameters agree with the reference values and those calculated using Scott-Vogelius finite elements.

Keywords: Grad-div stabilization; Navier-Stokes equations; Scott-Vogelius finite elements; Drag and lift coefficients; Benchmark problems (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:434:y:2022:i:c:s0096300322005082

DOI: 10.1016/j.amc.2022.127434

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