A flow-condition-based interpolation finite element procedure for incompressible fluid flows
A flow-condition-based interpolation finite element procedure for incompressible fluid flows
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DOI：
10.1016/s0045-7949(02)00077-9
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发表时间：
2002-06-01
影响因子：
4.7
通讯作者：
Zhang, H
中科院分区：
文献类型：
--
作者：
Bathe, KJ;Zhang, H
本文提出了一种求解不可压Navier-Stokes方程的新的有限元方法。在Petrov-Galerkin公式中，速度是使用元件上的流动条件插值的，压力是插值的，以满足不可压缩分析的inf-sup条件。单元控制体积用于满足局部质量和动量守恒（如在有限体积法中），这对应于在有限元法中使用阶跃函数作为权函数。离散方案的一个重要成就是，在该方案中没有人为的参数设置，以达到低和高雷诺数（和Peclet）流的稳定性。非平凡测试问题的解决方案，展示了该计划的能力和潜力。(C)2002爱思唯尔科技有限公司版权所有。
A new finite element procedure for the solution of the incompressible Navier-Stokes equations is presented. In the Petrov-Galerkin formulation employed, the velocities are interpolated using the flow conditions over the elements and the pressure is interpolated to satisfy the inf-sup condition for incompressible analysis. Element control volumes are employed to satisfy local mass and momentum conservation (as in finite volume methods), which corresponds to using step functions as weight functions in the finite element method. An important achievement of the discretization scheme is that no artificial parameters are set in the scheme to reach stability for low and high Reynolds (and Peclet) number flows. The solutions of nontrivial test problems are presented to demonstrate the capability and potential of the scheme. (C) 2002 Elsevier Science Ltd. All rights reserved.