TY - JOUR
T1 - Note on the effect of grad-div stabilization on calculating drag and lift coefficients
AU - Batugedara, Yasasya
AU - Schwiebert, Kyle J.
N1 - Publisher Copyright:
© 2022
PY - 2022/12/1
Y1 - 2022/12/1
N2 - 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.
AB - 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.
KW - Benchmark problems
KW - Drag and lift coefficients
KW - Grad-div stabilization
KW - Navier-Stokes equations
KW - Scott-Vogelius finite elements
UR - http://www.scopus.com/inward/record.url?scp=85134875404&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2022.127434
DO - 10.1016/j.amc.2022.127434
M3 - Article
AN - SCOPUS:85134875404
SN - 0096-3003
VL - 434
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
M1 - 127434
ER -