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Characteristic‐based split (CBS) algorithm finite element modelling for shallow waters in the Venice lagoon
Author(s) -
MorandiCecchi M.,
Venturin M.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1690
Subject(s) - advection , waves and shallow water , shallow water equations , scalar (mathematics) , finite element method , diffusion , dispersion (optics) , geology , algorithm , mathematics , geometry , mathematical analysis , engineering , oceanography , physics , structural engineering , optics , thermodynamics
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.