A New Stabilized Finite Element Method for Solving Transient Navier-Stokes Equations with High Reynolds Number
Year: 2020
Author: Chunmei Xie, Minfu Feng
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 3 : pp. 395–416
Abstract
In this paper, we present a new stabilized finite element method for transient Navier-Stokes equations with high Reynolds number based on the projection of the velocity and pressure. We use Taylor-Hood elements and the equal order elements in space and second order difference in time to get the fully discrete scheme. The scheme is proven to possess the absolute stability and the optimal error estimates. Numerical experiments show that our method is effective for transient Navier-Stokes equations with high Reynolds number and the results are in good agreement with the value of subgrid-scale eddy viscosity methods, Petro-Galerkin finite element method and streamline diffusion method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1810-m2018-0096
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 3 : pp. 395–416
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Transient Navier-Stokes problems High Reynolds number The projection of the velocity and pressure Taylor-Hood elements The equal order elements.