Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows

被引：50
|
作者：
Van Opstal, T. M. [1 ]
Yan, J. [2 ]
Coley, C. [3 ]
Evans, J. A. [3 ]
Kvamsdal, T. [1 ]
Bazilevs, Y. [2 ]
机构：
[1] Norwegian Univ Sci & Technol, Dept Math Sci, Trondheim, Norway
[2] Univ Calif San Diego, Dept Struct Engn, San Diego, CA 92103 USA
[3] Univ Colorado, Dept Aerosp Engn, Boulder, CO 80309 USA
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2017年 / 316卷
基金：
美国国家科学基金会;
关键词：
IGA; VMS; Divergence-conforming B-splines; Turbulent flows; Incompressible flows; DIRICHLET BOUNDARY-CONDITIONS; LARGE-EDDY SIMULATION; B-SPLINES; COMPUTATION; ALGORITHM; ELEMENTS; BUBBLES; NURBS;
D O I：
10.1016/j.cma.2016.10.015
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new residual-based variational multiscale (RBVMS) formulation for incompressible turbulent flows is proposed that is suitable for discretization using divergence-conforming B-splines. The proposed methodology results in a pointwise satisfaction of the zero-divergence constraint on the discrete velocity field. The velocity fine scales are residual-driven and constructed in a manner that is consistent with the divergence-free constraint on the discrete velocity solution. The resulting formulation is tested on laminar- and turbulent-flow benchmark problems showing excellent stability and accuracy characteristics in both regimes. (C) 2016 Elsevier B.V. All rights reserved.
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页码：859 / 879
页数：21
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