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 -