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You are here : eLibrary : IAHR World Congress Proceedings : 36th Congress - The Hague (2015) ALL CONTENT : Water engineering : A new numerical model for simulation of wave transformation, breaking and runup in complex coastal r...
A new numerical model for simulation of wave transformation, breaking and runup in complex coastal regions
Author : FRANCESCO GALLERANO(1), GIOVANNI CANNATA(2), ORIANA DE GAUDENZI(3), CHIARA PETRELLI & SIMONE SCARPONE(4)
ABSTRACT
We propose an integral form of the fully non-linear Boussinesq equations in contravariant formulation, in which
Christoffel symbols are avoided, in order to simulate wave transformation phenomena, wave breaking and near shore
currents in computational domains representing the complex morphology of real coastal regions. Following the approach
proposed by Chen (2006), the motion equations retain the term related to the approximation to the second order of the
vertical vorticity. A new Upwind Weighted Essentially Non-Oscillatory scheme for the solution of the fully non-linear
Boussinesq equations on generalised curvilinear coordinate systems is proposed. The equations are rearranged in order
to solve them by a high resolution hybrid finite volume¨Cfinite difference scheme. The conservative part of the abovementioned
equations, consisting of the convective terms and the terms related to the free surface elevation, is
discretised by a high-order shock-capturing finite volume scheme; dispersive terms and the term related to the
approximation to the second order of the vertical vorticity are discretised by a cell-centred finite difference scheme. The
shock-capturing method makes it possible to intrinsically model the wave breaking, therefore no additional terms are
needed to take into account the breaking related energy dissipation in the surf zone. The model is verified against
several benchmark tests, and the results are compared with experimental, theoretical and alternative numerical
solutions.
File Size : 27,547,792 bytes
File Type : Adobe Acrobat Document
Chapter : IAHR World Congress Proceedings
Category : 36th Congress - The Hague (2015) ALL CONTENT
Article : Water engineering
Date Published : 20/08/2015
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