A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model - Mathematics > Numerical AnalysisReport as inadecuate




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Abstract: The fully nonlinear and weakly dispersive Green-Naghdi model for shallowwater waves of large amplitude is studied. The original model is first recastunder a new formulation more suitable for numerical resolution. An hybridfinite volume and finite difference splitting approach is then proposed. Thehyperbolic part of the equations is handled with a high-order finite volumescheme allowing for breaking waves and dry areas. The dispersive part istreated with a classical finite difference approach. Extensive numericalvalidations are then performed in one horizontal dimension, relying both onanalytical solutions and experimental data. The results show that our approachgives a good account of all the processes of wave transformation in coastalareas: shoaling, wave breaking and run-up.



Author: Philippe Bonneton EPOC, Florent Chazel IMT, David Lannes DMA, Fabien Marche I3M, Marion Tissier EPOC

Source: https://arxiv.org/



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