کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
522344 867822 2007 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An analysis of polynomial chaos approximations for modeling single-fluid-phase flow in porous medium systems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
An analysis of polynomial chaos approximations for modeling single-fluid-phase flow in porous medium systems
چکیده انگلیسی

We examine a variety of polynomial-chaos-motivated approximations to a stochastic form of a steady state groundwater flow model. We consider approaches for truncating the infinite dimensional problem and producing decoupled systems. We discuss conditions under which such decoupling is possible and show that to generalize the known decoupling by numerical cubature, it would be necessary to find new multivariate cubature rules. Finally, we use the acceleration of Monte Carlo to compare the quality of polynomial models obtained for all approaches and find that in general the methods considered are more efficient than Monte Carlo for the relatively small domains considered in this work. A curse of dimensionality in the series expansion of the log-normal stochastic random field used to represent hydraulic conductivity provides a significant impediment to efficient approximations for large domains for all methods considered in this work, other than the Monte Carlo method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 226, Issue 2, 1 October 2007, Pages 2175–2205
نویسندگان
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