1. Compatibility between finite volumes and finite elements using solutions of shallow water equations for substance transport
- Author
-
L. Postma and Jean-Michel Hervouet
- Subjects
Finite volume method ,Finite element limit analysis ,Applied Mathematics ,Mechanical Engineering ,Mathematical analysis ,Computational Mechanics ,Finite volume method for one-dimensional steady state diffusion ,Mixed finite element method ,Finite element method ,Computer Science Applications ,TELEMAC ,Mechanics of Materials ,Calculus ,Shallow water equations ,Mathematics ,Extended finite element method - Abstract
This paper formulates a finite volume analogue of a finite element schematization of three-dimensional shallow water equations. The resulting finite volume schematization, when applied to the continuity equation, exactly reproduces the set of matrix equations that is obtained by the application of the corresponding finite element schematization to the continuity equation. The procedure allows the consistent and mass conserving coupling of the finite element Telemac model for three-dimensional flow with the finite volume Delft3D-WAQ model for water quality. The work has been carried out as part of a joint development by LNHE and WL∣Delft Hydraulics to explore the mutual interaction of their software. Copyright © 2006 John Wiley & Sons, Ltd.
- Published
- 2007