A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/Fractional step method for incompressible flow. (1st March 2021)

• Record Type: Journal Article
• Authors: Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen
• Is Part Of: Engineering analysis with boundary elements. Volume 124(2021)
• Page Start: 194
• Page End: 210
• Publication Date: 2021-03-01
• Subjects: Cell-based smoothed finite element method (CS-FEM) -- Streamline-upwind/Petrov-Galerkin stabilization (SUPG) -- Stabilized pressure gradient projection (SPGP) -- Incompressible flow -- Implicit fractional step method; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2020.12.018
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: In this paper, the exhaustive usage and implementation of Streamline-Upwind/Petrov-Galerkin method combining with Stabilized Pressure Gradient Projection (SUPG/SPGP) for incompressible Navier-Stokes equations are investigated. We validate and explore the behavior of cell-based smoothed finite element method (CS-FEM) and finite element method (FEM) based on SUPG/SPGP on five numerical examples. First, the Taylor-Green vortex example shows that CS-FEM based on SUPG/SPGP (CSFEM-SUPG/SPGP) are more accurate and has better robustness against distorted mesh than that of FEM based on SUPG/SPGP (FEM-SUPG/SPGP). Moreover, the wider range of SPGP stability parameter for CS-FEM-SUPG/SPGP is found in the condition of maintaining accurate result. Meanwhile, the lid-driven cavity flow example shows that the SUPG/SPGP method is favorable for incompressible flow at relatively high Reynolds number. The other numerical examples show good performances of the proposed method on the unsteady flows and micro-channel flow. In summary, proposed CS-FEM-SUPG/SPGP shows good performances on obtaining accurate results.