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Adaptivity in space and time for shallow water equations
Author(s) -
Morandi Cecchi M.,
Marcuzzi F.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990915)31:1<285::aid-fld969>3.0.co;2-6
Subject(s) - shallow water equations , decoupling (probability) , spacetime , space time , adaptation (eye) , space (punctuation) , waves and shallow water , computer science , mathematics , operator splitting , mathematical optimization , algorithm , mathematical analysis , geology , engineering , physics , control engineering , oceanography , optics , quantum mechanics , chemical engineering , operating system
In this paper, adaptive algorithms for time and space discretizations are added to an existing solution method previously applied to the Venice Lagoon Tidal Circulation problem. An analysis of the interactions between space and time discretizations adaptation algorithms is presented. In particular, it turns out that both error estimations in space and time must be present for maintaining the adaptation efficiency. Several advantages, for adaptivity and for time decoupling of the equations, offered by the operator‐splitting adopted for shallow water equations solution are presented. Copyright © 1999 John Wiley & Sons, Ltd.