Proceedings of the 2012 National Conference on Information Technology and Computer Science

An Efficient Solver for the Stokes equations with Random Inputs

Authors
Dong Qu, Jing Yang
Corresponding Author
Dong Qu
Available Online November 2012.
DOI
https://doi.org/10.2991/citcs.2012.208How to use a DOI?
Keywords
Random inputs; Wiener-Askey polynomial chaos; Spectral methods; Exponential error convergence
Abstract
In this paper we present a high order method to solve the Stokes equations with random coefficients numerically. A stochastic Galerkin approach, based on the truncated Karhunen- Loeve decomposition technique for the stochastic inputs, is used to reduce the original stochastic Stokes equations into a set of deterministic equations for the expansion coefficients. Then a spectral collocation method, together with a block Jacobi iteration is applied to solve the resulting problem. The efficiency of the solver is verified in each model problem by numerical tests, against Monte Carlo simulations.
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Proceedings
2012 National Conference on Information Technology and Computer Science
Part of series
Advances in Intelligent Systems Research
Publication Date
November 2012
ISBN
978-94-91216-39-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/citcs.2012.208How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Dong Qu
AU  - Jing Yang
PY  - 2012/11
DA  - 2012/11
TI  - An Efficient Solver for the Stokes equations with Random Inputs
BT  - 2012 National Conference on Information Technology and Computer Science
PB  - Atlantis Press
SP  - 819
EP  - 822
SN  - 1951-6851
UR  - https://doi.org/10.2991/citcs.2012.208
DO  - https://doi.org/10.2991/citcs.2012.208
ID  - Qu2012/11
ER  -