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Zbl 1121.76036
Guermond, J.-L.; Marra, A.; Quartapelle, L.
Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. (English)
[J] Comput. Methods Appl. Mech. Eng. 195, No. 44-47, 5857-5876 (2006). ISSN 0045-7825

Summary: A subgrid stabilization technique is developed for solving two-dimensional incompressible Navier-Stokes equations at high Reynolds numbers. The time marching algorithm is based on a well-established fractional-step pressure-correction projection method. The advection-diffusion step is enriched by an implicit subgrid stabilizing term and by an explicit dissipative shock capturing term. The former is calculated by means of a hierarchical finite element setting, the latter is included to avoid Gibbs' phenomenon in the boundary layer. Convergence tests on prototypical two-dimensional examples are reported, and the method is used to simulate viscous incompressible flows around the airfoil NACA0012 at zero incidence and Reynolds numbers ranging from $10^{5}$ to $10^{6}$.

MSC 2000:: *76M10 Finite element methods
76D05 Navier-Stokes equations (fluid dynamics)

Keywords: fractional-step pressure-correction projection method; hierarchical finite element setting; airfoil NACA0012

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Zentralblatt MATH Berlin [Germany]