Finite Element Analysis Methodology for Microscale Flow Simulation

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Resource Overview

Utilizing finite element analysis (FEA) for microscale flow simulations, this method enables comprehensive analysis of porous media, incorporating implementation algorithms such as weak formulation discretization and matrix assembly for solving partial differential equations.

Detailed Documentation

In this study, we employed finite element analysis (FEA) to simulate flow phenomena at microscopic scales. The methodology implements numerical discretization through Galerkin weighting techniques and solves governing equations (e.g., Navier-Stokes with Darcy extensions) using shape functions for element interpolation. This approach not only analyzes single-porosity media but also handles materials exhibiting heterogeneous porous characteristics. Through systematic investigation of fluid dynamics in porous structures, the algorithm quantifies influences of pore geometry, distribution patterns, and porosity variations on flow behavior. Furthermore, the FEA implementation calculates key properties including permeability tensors, hydraulic conductivity, and effective porosity through post-processing routines, making it applicable to environmental protection, geological exploration, and hydrocarbon extraction with robust predictive capabilities.

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