A robust, finite element model for hydrostatic surface water flows

✍ Scribed by Walters, R. A. ;Casulli, V.

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 238 KB
• Volume: 14
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(1998100)14:10<931::aid-cnm199>3.0.co;2-x

✦ Synopsis

A ®nite element scheme is introduced for the 2-dimensional shallow water equations using semi-implicit methods in time. A semi-Lagrangian method is used to approximate the eects of advection. A wave equation is formed at the discrete level such that the equations decouple into an equation for surface elevation and a momentum equation for the horizontal velocity. The convergence rates and relative computational eciency are examined with the use of three test cases representing various degrees of diculty. A test with a polar-quadrant grid investigates the response to local grid-scale forcing and the presence of spurious modes, a channel test case establishes convergence rates, and a ®eld-scale test case examines problems with highly irregular grids.