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

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摘要

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.

论文关键词:Grad-div stabilization,Navier-Stokes equations,Scott-Vogelius finite elements,Drag and lift coefficients,Benchmark problems

论文评审过程:Received 9 February 2022, Revised 4 July 2022, Accepted 19 July 2022, Available online 27 July 2022, Version of Record 27 July 2022.

论文官网地址:https://doi.org/10.1016/j.amc.2022.127434