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Stabilized Finite Element Methods for the Velocity-Pressure-Stress Formulation ofIncompressible Flows

机译：不可压缩流动速度 - 压力 - 应力公式的稳定有限元方法

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摘要

Formulated in terms of velocity, pressure and the extra stress tensor, theincompressible Navier-Stokes equations are discretized by stabilized finite element methods. The stabilized methods proposed are analyzed for a linear model and extended to the Navier-Stokes equations. The numerical tests performed confirm the good stability characteristics of the methods. These methods are applicable to various combinations of interpolation functions, including the simplest equal-order linear and bilinear elements.

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作者
Behr, M. A.; Franca, L. P.; Tezduyar, T. E.;
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年度 1993
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总页数 17
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Finite element analysis; Incompressible flow; Velocity; Pressure; Stresses; Stability; Reprints; Navier stokes equations; Mathematical models; Linearity;

机译：有限元分析;不可压缩流动;速度;压力;应力;稳定性;重印; Navier stokes方程;数学模型;线性;

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专利

1. Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows Nonlinear model [J] . Lei Zhou, Tian-Xiao Zhou Journal of Computational and Applied Mathematics . 1997,第1期

机译：不可压缩流速度-压力-应力公式的稳定有限元方法非线性模型
2. Augmented mixed finite element methods for a vorticity-based velocity-pressure-stress formulation of the Stokes problem in 2D [J] . Gabriel N. Gatica, Luis F. Gatica, Antonio Marquez International Journal for Numerical Methods in Fluids . 2011,第4期

机译：基于涡度的二维斯托克斯问题的速度-压力-应力公式的增强混合有限元方法
3. Stabilized finite element method for viscoplastic flow: formulation with state variable evolution [J] . Antoinette M. Maniatty, Yong Liu International Journal for Numerical Methods in Engineering . 2003,第2期

机译：粘塑性流动的稳定有限元方法：状态变量演化公式
4. An Edge Based Stabilized Finite Element Method For Solving Compressible Flows: Formulation And Parallel Computation [C] . Azzeddine Soulaiemani, Ali Rebaine, Yousef Saad Canadian Aeronautics and Space Institute 46th Annual Conference, 46th, May 3-5, 1999, Montreal, Quebec, Canada . 1999

机译：求解可压缩流的基于边缘的稳定有限元方法：公式化和并行计算
5. A stabilized finite element formulation for multiphase fluid flows. [D] . Spiegel, Mark Stephen. 2001

机译：用于多相流体流动的稳定有限元公式。
6. A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore [O] . Jehanzeb Hameed Chaudhry, Jeffrey Comer, Aleksei Aksimentiev, -1

机译：修正的Poisson-Nernst-Planck方程的稳定有限元方法用于确定通过纳米孔的离子流
7. Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows Nonlinear model [O] . Zhou Lei, Zhou Tian-Xiao 1997

机译：不可压缩流速度-压力-应力公式的稳定有限元方法非线性模型
8. Stabilized numerical solutions of three-phase porous media flow using a multiscale finite element formulation [R] . 2003

机译：利用多尺度有限元公式确定三相多孔介质流动的数值解

Stabilized Finite Element Methods for the Velocity-Pressure-Stress Formulation ofIncompressible Flows

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