کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10346044 | 698702 | 2015 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Uncertainty quantification in Discrete Fracture Network models: Stochastic fracture transmissivity
ترجمه فارسی عنوان
اندازه گیری عدم قطعیت در مدل شبکه های شکستگی گسسته: ترویج شکست شکن است
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
چکیده انگلیسی
The approximate computation of quantities of interest, such as mean value and variance for outgoing fluxes, is based on a stochastic collocation approach that uses suitable sparse grids in the range of the stochastic variables (whose number defines the stochastic dimension of the problem). This produces a non-intrusive computational method, in which the DFN flow solver is applied as a black-box. A very fast error decay, related to the analytical dependence of the observed quantities upon the stochastic variables, is obtained in the low dimensional cases using isotropic sparse grids; comparisons with Monte Carlo results show a clear gain in efficiency for the proposed method. For increasing dimensions attained via successive truncations of Karhunen-Loève expansions, results are still good although the rates of convergence are progressively reduced. Resorting to suitably tuned anisotropic grids is an effective way to contrast such curse of dimensionality: in the explored range of dimensions, the resulting convergence histories are nearly independent of the dimension.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 70, Issue 4, August 2015, Pages 603-623
Journal: Computers & Mathematics with Applications - Volume 70, Issue 4, August 2015, Pages 603-623
نویسندگان
S. Berrone, C. Canuto, S. Pieraccini, S. Scialò,