| Abstract: | Numerical methods for grids with irregular cells require discrete shape functions to approximate the distribution of quantities across cells. For control-volume mixed finite-element (CVMFE) methods, vector shape functions approximate velocities and vector test functions enforce a discrete form of Darcy‘s law. In this paper, a new vector shape function is developed for use with irregular, hexahedral cells (trilinear images of cubes). It interpolates velocities and fluxes quadratically, because as shown here, the usual Piola-transformed shape functions, which interpolate linearly, cannot match uniform flow on general hexahedral cells. Truncation-error estimates for the shape function are demonstrated. CVMFE simulations of uniform and non-uniform flow with irregular meshes show first- and second-order convergence of fluxes in the L2 norm in the presence and absence of singularities, respectively. |
| Genre: | Article |
| ProdID: | 70023938 |
| Citation Author: | Naff, R. L.; Russell, T. F.; Wilson, J. D. |
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| Citation End Page: | 314 |
| Citation Issue: | 3-4 |
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| Citation Language: | English |
| Citation Larger Work Title: | Computational Geosciences |
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| Citation Number Of Pages: | 30 |
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| Citation Search Results Text: | Shape functions for velocity interpolation in general hexahedral cells; 2002; Article; Journal; Computational Geosciences; Naff, R. L.; Russell, T. F.; Wilson, J. D. |
| Citation Start Page: | 285 |
| Citation Volume: | 6 |
| Citation Year: | 2002 |
| Type: | citation/reference |
| Text: | Shape functions for velocity interpolation in general hexahedral cells; 2002; Article; Journal; Computational Geosciences; Naff, R. L.; Russell, T. F.; Wilson, J. D. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| URL (DIGITAL OBJECT IDENTIFIER): | http://dx.doi.org/10.1023/A:1021218525861 |
| Date Other: | Tue, 1 Jan 2002 00:00 -0600 |
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