This paper is concerned with solving the viscous and inviscid shallow water equations. The numerical method is based on second-order finite volume-finite element (FV-FE) discretization: the convective inviscid terms of the shallow water equations are computed by a finite volume method, while the dif
A varying time step finite-element method for the shallow water equations
β Scribed by C. Knock; S.C. Ryrie
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 808 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0307-904X
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## Communicated by J. C. Nedelec A new solution of the two-dimensional shallow-water equations, using a finite element method is described. The formulation is based on the velocity and height variables and follows two step. In the first step, the convective terms are solved by a characteristic met
Two time accurate local time stepping (LTS) strategies originally developed for the Euler equations are presented and applied to the unsteady shallow water equations of open channel ow. Using the techniques presented allows individual cells to be advanced to di erent points in time, in a time accura