Numerical Simulation of the Transport and Flow Problems in Perforated Domains Using Generalized Multiscale Finite Element Method.

التفاصيل البيبلوغرافية
العنوان: Numerical Simulation of the Transport and Flow Problems in Perforated Domains Using Generalized Multiscale Finite Element Method.
المؤلفون: Alekseev, V., Gavrileva, U., Spiridonov, D., Tyrylgin, A., Vasilyeva, M.
المصدر: AIP Conference Proceedings; 2018, Vol. 2025 Issue 1, p100001-1-100001-8, 8p
مصطلحات موضوعية: CARBONATE reservoirs, TRANSPORT equation, TRANSPORT theory, FINITE element method, FLOW velocity
مستخلص: In this work, we consider flow and transport processes in perforated domains. Such processes have multiscale nature and occur in many real world applications, for example, in simulation of the carbonate reservoirs. The transport process is described by the convection-diffusion equation. The convection term in the transport equation is governed by a flow velocity field. The flow is described by Darcy equation. Numerical solutions for flow and transport equations in perforated domains are expensive and require resolving fine-scale details (perforations). For this reason, some type of model reduction is necessary. For coarse grid approximation, we use Generalized Multiscale Finite Element method (GMsFEM) for flow problem and construct local multiscale basis functions. We present numerical results for model problem in two-dimensional perforated domains. [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index
الوصف
تدمد:0094243X
DOI:10.1063/1.5064930