Stochastic collocation and mixed finite elements for flow in porous media

被引：49

作者：

Ganis, Benjamin ^{[2
]}

Klie, Hector ^{[1
]}

Wheeler, Mary F. ^{[1
]}

Wildey, Tim ^{[1
]}

Yotov, Ivan ^{[1
]}

Zhang, Dongxiao ^{[3
]}

机构：

[1] Univ Texas Austin, ICES, Austin, TX 78712 USA

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[3] Univ So Calif, Dept Chem Engn & Mat Sci, Los Angeles, CA 90089 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2008年 / 197卷 / 43-44期

基金：

美国国家科学基金会;

关键词：

stochastic collocation; mixed finite element; stochastic partial differential equations; flow in porous media;

D O I：

10.1016/j.cma.2008.03.025

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The aim of this paper is to quantify uncertainty of flow in porous media through stochastic modeling and computation of statistical moments. The governing equations are based on Darcy's law with stochastic permeability. Starting from a specified covariance relationship, the log permeability is decomposed using a truncated Karhunen-Loeve expansion. Mixed finite element approximations are used in the spatial domain and collocation at the zeros of tensor product Hermite polynomials is used in the stochastic dimensions. Error analysis is performed and experimentally verified with numerical simulations. Computational results include incompressible and slightly compressible single and two-phase flow. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：3547 / 3559

页数：13

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[2]

[Anonymous], 1996, Monte Carlo Concepts, Algorithms and Applications

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