2019/01/16 by Michele Girfoglio, Annalisa Quaini, Girfoglio, Michele +3 · 1 citation
Engineering · #Fluid Dynamics and Turbulent Flows #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics
paper · pdf · doi:10.48550/arxiv.1901.05251
We consider a Leray model with a nonlinear differential low-pass filter for\nthe simulation of incompressible fluid flow at moderately large Reynolds number\n(in the range of a few thousands) with under-refined meshes. For the\nimplementation of the model, we adopt the three-step algorithm\nEvolve-Filter-Relax (EFR). The Leray model has been extensively applied within\na Finite Element (FE) framework. Here, we propose to combine the EFR algorithm\nwith a computationally efficient Finite Volume (FV) method. Our approach is\nvalidated against numerical data available in the literature for the 2D flow\npast a cylinder and against experimental measurements for the 3D fluid flow in\nan idealized medical device, as recommended by the U.S. Food and Drug\nAdministration. We will show that for similar levels of mesh refinement FV and\nFE methods provide significantly different results. Through our numerical\nexperiments, we are able to provide practical directions to tune the parameters\ninvolved in the model. Furthermore, we are able to investigate the impact of\nmesh features (element type, non-orthogonality, local refinement, and element\naspect ratio) and the discretization method for the convective term on the\nagreement between numerical solutions and experimental data.\n