A new algorithm for the solution of the shallow water equations is introduced. The formulation is founded on a suitable operator-splitting procedure for which a characteristic-based rational form of including balancing dissipation terms is achieved. In the semi-explicit form the method circumvents
Characteristic-based split (CBS) algorithm finite element modelling for shallow waters in the Venice lagoon
✍ Scribed by M. Morandi-Cecchi; M. Venturin
- Book ID
- 102960899
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 540 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.1690
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✦ Synopsis
Abstract
In this paper, the characteristic‐based split (CBS) algorithm is presented to solve water motion problem due to tides in the Venice lagoon. The basic equations are the well‐known vertically integrated shallow‐water equations expressed in terms of total water depth and horizontal velocities. The approximation of any additional scalar variables, such as temperature, concentration or pollutant dispersion from the appropriate advection–diffusion governing equations is also outlined. Numerical results illustrate the performance of the proposed algorithm on both advection–diffusion and shallow‐water problems. Copyright © 2006 John Wiley & Sons, Ltd.
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