A velocity-stream function method for three-dimensional incompressible fluid flow

被引：7
|
作者：
Holdeman, Jonas T.
机构：
[1] 1056 Lovell Road, Knoxville
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2012年 / 209卷
关键词：
Velocity-stream function method; Lid-driven cavity; Poiseuille flow; Incompressible 3D flow; Hermite element method; Strictly pressure-free velocity; FREE FINITE-ELEMENT; COMPUTATION;
D O I：
10.1016/j.cma.2011.10.013
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We describe a velocity-stream function method for computing incompressible fluid flow, extending earlier work in two- to three-dimensions. We present a strictly-divergence-free finite element in primitive variables in 3D as the curl of a (generalized) Hermite vector potential element with velocity degrees-of-freedom and show a method for its derivation. This linear velocity element is defined on a reference cube with 8 nodes, each node having 3 vector potential (stream function) and 3 velocity degrees-of-freedom. The method and element are applied to the lid-driven cavity problem and open duct flow in three dimensions. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：66 / 73
页数：8
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