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A multigrid method for the computation of eigenmodes of closed water basins


Sauter, S; Wittum, G (1992). A multigrid method for the computation of eigenmodes of closed water basins. IMPACT of Computing in Science and Engineering, 4(2):124-152.

Abstract

In the present paper we discuss the computation of eigenmodes of closed water basins with focus on Lake Constance. As model we use the shallow-water equations for a one-layered closed basin with variable bottom shape. We discretize the equations with linear finite elements on a specially constructed grid. As solver we use the standard multigrid method for eigenvalue problems coupled with a robust ILU smoother, which is supported by a particular numbering strategy. The resulting method, the convergence of which is analyzed thoroughly, is very efficient, allowing the solution of the Lake Constance problem on an Apple Macintosh in reasonable time. The results are compared with several existing ones.

In the present paper we discuss the computation of eigenmodes of closed water basins with focus on Lake Constance. As model we use the shallow-water equations for a one-layered closed basin with variable bottom shape. We discretize the equations with linear finite elements on a specially constructed grid. As solver we use the standard multigrid method for eigenvalue problems coupled with a robust ILU smoother, which is supported by a particular numbering strategy. The resulting method, the convergence of which is analyzed thoroughly, is very efficient, allowing the solution of the Lake Constance problem on an Apple Macintosh in reasonable time. The results are compared with several existing ones.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1992
Deposited On:29 Nov 2010 16:29
Last Modified:05 Apr 2016 13:28
Publisher:Academic Press
ISSN:0899-8248
Publisher DOI:https://doi.org/10.1016/0899-8248(92)90019-5
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0749.76041

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