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2 results on '"2D highly advectiveflows"'

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

Author

Cui, W., Gawecka, K.A., Potts, D.M., Taborda, D.M.G., and Zdravković, L.

Subjects
*GALERKIN methods, *TRANSIENT analysis, *STEADY state conduction, *POROUS materials, *QUADRATIC forms
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2018
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2. A Petrov-Galerkin finite element method for 2D transient and steady state highly advective flows in porous media

Author

Lidija Zdravković, Wenjie Cui, David M. Potts, Klementyna A. Gawecka, David M. G. Taborda, Engineering and Physical Sciences Research Council, and Geotechnical Consulting Group

Subjects
Finite element methods, Technology, Porous media, 0211 other engineering and technologies, Petrov–Galerkin method, CONVECTIVE-TRANSPORT-EQUATION, 2D highly advectiveflows, 010103 numerical & computational mathematics, 02 engineering and technology, Computational fluid dynamics, 0915 Interdisciplinary Engineering, Geological & Geomatics Engineering, 01 natural sciences, 0905 Civil Engineering, Engineering, Quadratic equation, Robustness (computer science), Applied mathematics, Engineering, Geological, Geosciences, Multidisciplinary, 0101 mathematics, FORMULATION, 021101 geological & geomatics engineering, Science & Technology, business.industry, Advection, COMPUTATIONAL FLUID-DYNAMICS, DIFFUSION-PROBLEMS, SCHEME, Geology, 0914 Resources Engineering and Extractive Metallurgy, Geotechnical Engineering and Engineering Geology, Finite element method, TIME, Computer Science Applications, Weighting, Physical Sciences, Computer Science, Computer Science, Interdisciplinary Applications, Porous medium, business
Abstract

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.

Published
2018
Full Text
View/download PDF

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