QUALIFICATION OF UNCERTAINTY FOR SIMULATING SOLUTE TRANSPORT IN THE HETEROGENEOUS MEDIA WITH SPARSE GRID COLLOCATION METHOD

作     者：SHI Liang-sheng YANG Jin-zhong SHI Liang-sheng State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China The Sonny Astani Department of Civil and Environmental Engineering, University of Southern California, Los Angeles, CA 90089, USA,YANG Jin-zhong State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China

作者机构：State Key Laboratory of Water Resources and Hydropower Engineering Science Wuhan University Wuhan 430072 China The Sonny Astani Department of Civil and Environmental Engineering University of Southern California Los Angeles CA 90089 USA 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2009年第21卷第6期

页      面：779-789页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070102[理学-计算数学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by the National Basic Research Program of China (973 Program,Grant No.2006CB403406) the National Natural Science Foundation of China (Grant Nos.50688901,40701071) 

主　　题：stochastic partial differential equations collocation method solute transport uncertainty 

摘      要：The sparse grid collocation method is discussed to qualify the uncertainty of solute transport. The Karhunen-Loeve （KL） expansion is employed to decompose the log transformed hydraulic conductivity. The head, velocity and concentration fields are represented by the Lagrange polynomial expansion. A sparse grid collocation method is then used to reduce the original stochastic partial differential equations to a set of deterministic equations which is collocated at selected interpolation （collocation） points. The collocation points are constructed by the Smolyak algorithm. The accuracy, efficiency and convergence property of sparse grid collocation method are investigated by numerical experiments. The analysis shows that stochastic collocation strategy helps to decouple stochastic computations, and all the numerical computation is possible to be implemented by existing deterministic finite element codes. The proposed method provides an efficient way to evaluate the uncertainty of the solute transport in the heterogeneous media.