A stochastic Lamb-Oseen vortex solution of the 2D Navier-Stokes equations

被引:5
|
作者
Sereno, J. L. [1 ]
Pereira, J. M. C. [1 ]
Pereira, J. C. F. [1 ]
机构
[1] LASEF, Dept Mech Engn, Inst Super Tecn, P-1049001 Lisbon, Portugal
关键词
vortex; Lamb-Oseen; stochastic; polynomial chaos; Navier-Stokes; DIFFERENTIAL-EQUATIONS; POLYNOMIAL CHAOS;
D O I
10.1002/cnm.1263
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
The exact solution of the Lamb-Oseen vortices is reported for a random viscosity characterized by a Gamma probability density function. This benchmark solution allowed to quantify the analytic error of the polynomial chaos (PC) expansion as a function of the number of stochastic modes considered and compare it with its numerical counterpart. The last was obtained in the framework of the PC expansion method together with a finite difference numerical discretization of the resulting system of Navier-Stokes equations for the expansion modes considered. The obtained solution may be used to test other numerical approaches for the solution of the Navier-Stokes equations with random inputs. Copyright (C) 2009 John Wiley & Sons, Ltd.
引用
收藏
页码:1756 / 1763
页数:8
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