کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4967724 1449376 2017 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Good coupling for the multiscale patch scheme on systems with microscale heterogeneity
ترجمه فارسی عنوان
پیوند خوب برای طرح پچ چند منظوره در سیستم های با ناهمگنی میکرو اسکلت
کلمات کلیدی
محاسبات چند محوری، روشهای معادلی، دینامیک پچ، نفوذ،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Computational simulation of microscale detailed systems is frequently only feasible over spatial domains much smaller than the macroscale of interest. The 'equation-free' methodology couples many small patches of microscale computations across space to empower efficient computational simulation over macroscale domains of interest. Motivated by molecular or agent simulations, we analyse the performance of various coupling schemes for patches when the microscale is inherently 'rough'. As a canonical problem in this universality class, we systematically analyse the case of heterogeneous diffusion on a lattice. Computer algebra explores how the dynamics of coupled patches predict the large scale emergent macroscale dynamics of the computational scheme. We determine good design for the coupling of patches by comparing the macroscale predictions from patch dynamics with the emergent macroscale on the entire domain, thus minimising the computational error of the multiscale modelling. The minimal error on the macroscale is obtained when the coupling utilises averaging regions which are between a third and a half of the patch. Moreover, when the symmetry of the inter-patch coupling matches that of the underlying microscale structure, patch dynamics predicts the desired macroscale dynamics to any specified order of error. The results confirm that the patch scheme is useful for macroscale computational simulation of a range of systems with microscale heterogeneity.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 337, 15 May 2017, Pages 154-174
نویسندگان
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