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Finite Volume Multilevel Approximation of the Shallow Water Equations |
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| Authors: | Arthur BOUSQUET Martine MARION and Roger TEMAM |
| Institution: | 1. The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405 USA 2. The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405 USA.Département Mathématique Informatique, Université de Lyon, Ecole Centrale de Lyon,CNRS UMR 5208, 36 avenue Guy de Collongue, 69134 Ecully Cedex, France |
| Abstract: | The authors consider a simple transport equation in one-dimensional space and the linearized shallow water equations in two-dimensional space, and describe and implement a multilevel finite-volume discretization in the context of the utilization of the incremental unknowns. The numerical stability of the method is proved in both cases. |
| Keywords: | Finite-volume methods Multilevel methods Shallow water equations Stability analysis |
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