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粘性不可压流动压力修正的有限元计算
引用本文:章本照,沈新荣.粘性不可压流动压力修正的有限元计算[J].空气动力学学报,1997,15(3):337-343.
作者姓名:章本照  沈新荣
作者单位:浙江大学力学系!杭州,310027,浙江大学力学系!杭州,310027
摘    要:将SIMPLE方法压力修正思想应用于有限元方法,对粘性不可压缩流动的SUPG有限元方程,建立将压力与速度分离,进行压力修正迭代的计算格式;对典型算例进行多个Re数的层流,湍流计算,显示此方法具有良好的收敛性和精度。

关 键 词:有限元  压力修正法  粘性  不可压流动

A Finite Element Procedure with the Pressure Correction for Viscous Incompressible Flows
Zhang Benzhao, Shen Xingrong.A Finite Element Procedure with the Pressure Correction for Viscous Incompressible Flows[J].Acta Aerodynamica Sinica,1997,15(3):337-343.
Authors:Zhang Benzhao  Shen Xingrong
Abstract:In the present paper, a new segregated velocity-pressure formulation employing the SUPG finite element method for Yiscous incompressible flows is presented. The procedure used here has been borrowed from a well-known finite difference procedure called SIMPLE, which is successfu1ly being employed in solving a wide range of technical flow problems. The finite element equations are solved using an iterative method. The iteration starts with a guessed pressure field. This initial guess is corrected successively at each iteration by adding the pressure corrections given by the derived equation of pressure corrections. Subsequent to pressure correction, the velocities are also corrected to satisfy the yelocity-pressure relations given by the momentum equations.The numerical performance of the proposed method is demonstrated by several examples of laminar flows or turbulent flows at various Reynolds numbers. The results are compared with some experiment data.
Keywords:finite element method  pressure correction procedure  viscous incompressible flow
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