STOCHASTIC NAVIER-STOKES EQUATIONS ARE A COUPLED PROBLEM

被引：0
作者：
Rang, Joachim [1 ]
Matthies, Hermann G. [1 ]
机构：
[1] TU Braunschweig, Inst Comp Sci, D-38106 Braunschweig, Germany
来源：
COMPUTATIONAL METHODS IN MARINE ENGINEERING V (MARINE 2013) | 2013年
关键词：
stochastic Galerkin methods; uncertainty quantification; stochastic Finite Elements; Navier-Stokes equations;
D O I：
暂无
中图分类号：
U6 [水路运输]; P75 [海洋工程];
学科分类号：
0814 ; 081505 ; 0824 ; 082401 ;
摘要：
In this paper we consider the stochastic incompressible Navier-Stokes equations. For the stochastic discretisation we use a stochastic Galerkin formulation and a polynomial chaos expansion. This approach leads to a huge nonlinear system of equations. We introduce partitioned methods like the Block-Jacobi and the Block-Gauss-Seidel method. These methods have the advantage that the huge nonlinear system is split into smaller systems. Numerical examples illustrate this idea.
引用
收藏
页码：278 / 288
页数：11
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