Details zur Publikation |
| Kategorie | Textpublikation |
| Referenztyp | Zeitschriften |
| DOI | 10.1016/j.cageo.2004.03.013 |
| Titel (primär) | Finite-element formulation for solving the hydrodynamic flow equation under radial flow conditions |
| Autor | Axness, C.; Carrera, J.D.; Bayer-Raich, M. |
| Quelle | Computers & Geosciences |
| Erscheinungsjahr | 2004 |
| Department | HDG |
| Band/Volume | 30 |
| Heft | 6 |
| Seite von | 663 |
| Seite bis | 670 |
| Sprache | englisch |
| Keywords | Finite elements; Convergent flow; Divergent flow; Radial flow; Polar coordinates; Heterogeneous transmissivity; Logarithmic transformation; Code comparison; Well hydraulics |
| Abstract | The numerical solution of the flow equation in hydrological modeling has traditionally been accomplished through the use of finite-element or finite-difference models using Cartesian coordinates. Radial flow problems, however, are more easily posed in polar or cylindrical coordinates utilizing truncated "sector"-type elements. The purpose of this work is to introduce a simple transformation of variables from ( x, y) to ( ln r,θ) to facilitate using such elements. The transformation converts truncated "sector" elements in an annular domain to rectangular elements in a connected rectangular domain where the flow equation is then solved. The transformation makes mesh generation easy and allows a fine discretization about a well. The elements allow an exact representation of the well geometry. The method computes the head exactly at discrete points for homogeneous problems. It displays a reduced truncation error in head and flux computations for heterogeneous problems with radially dominant flow, when compared to methods using conventional elements. Numerical comparisons on a suite of heterogeneous media problems illustrate these advantages with respect to conventional methods. |
| dauerhafte UFZ-Verlinkung | https://www.ufz.de/index.php?en=20939&ufzPublicationIdentifier=3935 |
| Axness, C., Carrera, J.D., Bayer-Raich, M. (2004): Finite-element formulation for solving the hydrodynamic flow equation under radial flow conditions Comput. Geosci. 30 (6), 663 - 670 10.1016/j.cageo.2004.03.013 |
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