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 estimation in space and time must be present for maintaining the adaptation efficient. Several advantages, for adaptivity and for time decoupling of the equations, offered by the operator splitting adopted for shallow waters equations solution are put in evidence

Adaptivity in Space and Time for Shallow Water Equations

MARCUZZI, FABIO
1999

Abstract

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 estimation in space and time must be present for maintaining the adaptation efficient. Several advantages, for adaptivity and for time decoupling of the equations, offered by the operator splitting adopted for shallow waters equations solution are put in evidence
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2473618
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