A QUASI-BUBBLE FINITE ELEMENT FORMULATION FOR THE SHALLOW WATER EQUATIONS WITH A DISCONTINUOUS BOUNDARY IMPLEMENTATION
A finite element model for the shallow water equations based on the quasi-bubble-function approximation is discussed focusing on an alternative implementation of surface elevation boundary conditions. Numerical experiments demonstrate that the conventional implementation of the boundary conditions originate spurious oscillations. In this work, the alternative implementation, which we refer to as a discontinuous boundary implementation (DBI), is proposed with validation via numerical testing. The results indicate that the DBI improves accuracy of numerical solutions and eliminates the spurious modes.
Unable to display preview. Download preview PDF.
- 1.P. Mewis and K.-P. Holz (1993), A quasi-bubble-function approach for shallow water waves. Advances in Hydro-Science and Engineering, 1, pp. 768–774.Google Scholar
- 2.J.M. Hervouet (2000), On spurious oscillations in primitive shallow water equations. In: the XIII International Conference on Computational Methods in Water Resources, pp. 929–936.Google Scholar
- 5.D.R. Lynch and G. Gray (1978), Analytic solutions for computer flow model testing. Journal of the Hydraulics Division, 104, pp. 1409–1428.Google Scholar