✦ LIBER ✦

Adaptivity in space and time for shallow water equations

✍ Scribed by M. Morandi Cecchi; F. Marcuzzi

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 135 KB
Volume: 31
Category: Article
ISSN: 0271-2091
DOI: 10.1002/(sici)1097-0363(19990915)31:1<285::aid-fld969>3.0.co;2-6

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✦ Synopsis

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.

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