Adaptivity in space and time for shallow water equations

In this paper, adaptive algorithms for time and space discretizations are a dded to an existing solution method previously applied to the Venice Lagoon Tidal Circulation problem. An analysis of the interactions between space a nd 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 adaptivi ty and for time decoupling of the equations, offered by the operator-splitt ing adopted for shallow water equations solution are presented. Copyright ( C) 1999 John Wiley & Sons, Ltd.