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Implementation and analysis of a partial-element wetting and drying framework for generalized wave continuity equation-based hydrodynamic models
Article first published online: 25 JAN 2013
Copyright © 2013 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 72, Issue 10, pages 1015–1033, 10 August 2013
How to Cite
Dick, C. G., Tromble, E. M., Dresback, K. M. and Kolar, R. L. (2013), Implementation and analysis of a partial-element wetting and drying framework for generalized wave continuity equation-based hydrodynamic models. Int. J. Numer. Meth. Fluids, 72: 1015–1033. doi: 10.1002/fld.3772
- Issue published online: 3 JUL 2013
- Article first published online: 25 JAN 2013
- Manuscript Accepted: 21 DEC 2012
- Manuscript Revised: 16 OCT 2012
- Manuscript Received: 2 MAY 2012
- finite element;
- wetting and drying;
The ADCIRC hydrodynamic model has been used extensively to predict the effects of storm surge in coastal regions. In an effort to create a more holistic representation of coastal inundation (i.e., the total water level), some recent applications of ADCIRC have focused on modeling coastal river systems. Initial attempts to model river systems with ADCIRC have encountered complications associated with mass balance (artificial increase in mass in the downstream direction) and model instabilities when flow leaves the main channel, which suggests that complications may be attributed to the current treatment of the wet/dry boundary in CG ADCIRC. A new wetting/drying framework has been developed for, and implemented in, the 1D continuous Galerkin ADCIRC code, which is based on the generalized wave continuity equation (GWCE) formulation of the shallow water equations. The new algorithm allows for the inclusion of partially wet elements within the computational domain of ADCIRC, and the focus of this manuscript is flooding-type wetting/drying processes (e.g., tidal fluctuations and storm surge inundation). The new framework uses a scaling factor, η, placed on the time derivative term in the primitive continuity equation, prior to formulation of the GWCE. Benefits of the new approach include better mass balance and more accurate tracking of the location of the wet/dry interface, compared with the current wetting and drying algorithm.Copyright © 2013 John Wiley & Sons, Ltd.