| Abstract: | A p finite element scheme and parallel iterative solver are introduced for a modified form of the shallow water equations. The governing equations are the three-dimensional shallow water equations. After a harmonic decomposition in time and rearrangement, the resulting equations are a complex Helmholz problem for surface elevation, and a complex momentum equation for the horizontal velocity. Both equations are nonlinear and the resulting system is solved using the Picard iteration combined with a preconditioned biconjugate gradient (PBCG) method for the linearized subproblems. A subdomain-based parallel preconditioner is developed which uses incomplete LU factorization with thresholding (ILUT) methods within subdomains, overlapping ILUT factorizations for subdomain boundaries and under-relaxed iteration for the resulting block system. The method builds on techniques successfully applied to linear elements by introducing ordering and condensation techniques to handle uniform p refinement. The combined methods show good performance for a range of p (element order), h (element size), and N (number of processors). Performance and scalability results are presented for a field scale problem where up to 512 processors are used. ?? 1998 Elsevier Science Ltd. All rights reserved. |
| Genre: | Article |
| ProdID: | 70021094 |
| Citation Author: | Barragy, E. J.; Walters, R. A. |
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| Citation End Page: | 337 |
| Citation Issue: | 5 |
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| Citation Language: | English |
| Citation Larger Work Title: | Advances in Water Resources |
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| Citation Number Of Pages: | 11 |
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| Citation Search Results Text: | Parallel iterative solution for h and p approximations of the shallow water equations; 1998; Article; Journal; Advances in Water Resources; Barragy, E. J.; Walters, R. A. |
| Citation Start Page: | 327 |
| Citation Volume: | 21 |
| Citation Year: | 1998 |
| Type: | citation/reference |
| Text: | Parallel iterative solution for h and p approximations of the shallow water equations; 1998; Article; Journal; Advances in Water Resources; Barragy, E. J.; Walters, R. A. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| Date Other: | Thu, 1 Jan 1998 00:00 -0600 |
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