Oganga, Duncan.Okoya, Michael O.Aywa, Shem.Lawi, George O.Nthiiri, Joyce .2019-05-082019-05-082014https://doi.org/10.1002/fld.349http://erepository.kibu.ac.ke/handle/123456789/904A new numerical method for Nwogu’s (ASCE Journal of Waterway, Port, Coastal and Ocean En-gineering1993;119:618) two-dimensional extended Boussinesq equations is presented using a lineartriangular nite element spatial discretization coupled with a sophisticated adaptive time integrationpackage. The authors have previously presented a nite element method for the one-dimensional formof these equations (M. Walkley and M. Berzins (International Journal for Numerical Methods inFluids1999;29(2):143)) and this paper describes the extension of these ideas to the two-dimensionalequations and the application of the method to complex geometries using unstructured triangular grids.Computational results are presented for two standard test problems and a realistic harbour model. Copy-right?2002 John Wiley & Sons, LtdenAttribution-NonCommercial-ShareAlike 3.0 United Stateshttp://creativecommons.org/licenses/by-nc-sa/3.0/us/Xtended boussinesq equationsFinite element methodAdaptive time integrationArticle