首页|Note on the effect of grad-div stabilization on calculating drag and lift coefficients
Note on the effect of grad-div stabilization on calculating drag and lift coefficients
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NSTL
Elsevier
? 2022In 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.
Benchmark problemsDrag and lift coefficientsGrad-div stabilizationNavier-Stokes equationsScott-Vogelius finite elements
Batugedara Y.、Schwiebert K.J.
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Department of Mathematical Sciences Michigan Technological University
NSTL
Elsevier
