A Petrov-Galerkin finite element method for 2D transient and steady state highly advective flows in porous media

被引：12

作者：

Cui, W. ^{[1
]}

Gawecka, K. A. ^{[1
]}

Potts, D. M. ^{[1
]}

Taborda, D. M. G. ^{[1
]}

Zdravkovic, L. ^{[1
]}

机构：

[1] Imperial Coll London, Dept Civil & Environm Engn, London SW7 2AZ, England

来源：

COMPUTERS AND GEOTECHNICS | 2018年 / 100卷

基金：

英国工程与自然科学研究理事会;

关键词：

Finite element methods; 2D highly advectiveflows; Porous media; CONVECTIVE-TRANSPORT-EQUATION; COMPUTATIONAL FLUID-DYNAMICS; DIFFUSION-PROBLEMS; FORMULATION; SCHEME; TIME;

D O I：

10.1016/j.compgeo.2018.04.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new Petrov-Galerkin finite element method for two-dimensional (2D) highly advective flows in porous media, which removes numerical oscillations and retains its precision compared to the conventional Galerkin finite element method, is presented. A new continuous weighting function for quadratic elements is proposed. Moreover, a numerical scheme is developed to ensure the weighting factors are accurately determined for 2D non-uniform flows and 2D distorted elements. Finally, a series of numerical examples are performed to demonstrate the capability of the approach. Comparison against existing methods in the simulation of a benchmark problem further verifies the robustness of the proposed method.

引用

页码：158 / 173

页数：16

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