A Novel Finite Element Scheme of Nwogu Extended Boussinesq Equations to Predict Free Surface Elevation over Different Bathymetry of Beaches
| Autor: | Said Mazaheri, Mohammad Hadi Jabbari, Kourosh Hejazi, Arsham Reisinezhad |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Ecology
Discretization 010505 oceanography Wave propagation Numerical analysis 01 natural sciences Stability (probability) Finite element method 010305 fluids & plasmas 0103 physical sciences Applied mathematics Bathymetry Geotechnical engineering Galerkin method 0105 earth and related environmental sciences Earth-Surface Processes Water Science and Technology Mathematics Extended finite element method |
| Zdroj: | Journal of Coastal Research. 319:531-541 |
| ISSN: | 1551-5036 0749-0208 |
| DOI: | 10.2112/jcoastres-d-14-00041.1 |
| Popis: | Reisinezhad, A.; Mazaheri, S.; Hejazi, K., and Jabbari, M.H., 2016. A novel finite element scheme of Nwogu extended Boussinesq equations to predict free surface elevation over different bathymetry of beaches. In this study, free surface elevation is predicted by using a new finite element scheme. This numerical method solves a Nwogu Boussinesq equation system to simulate wave propagation in the complicated bathymetry of coastal regions. The numerical approach is based on a Galerkin finite element approach for spatial discretization and Adam-Bashforth-Moulton predictor-corrector strategy for time integration. Governing equations are rewritten in lower-order forms by introducing a novel form of auxiliary variable in order to make the application of the linear finite element method possible. Then, the stability of the suggested finite element schemes is studied using a theoretical analysis. For the validation of the present numerical method, five test cases are considered to show the capability of t... |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|