Linear shoaling in Boussinesq-type wave propagation models |
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| Institution: | 1. ICM (CSIC), Passeig Maritim de la Barceloneta 37-49, 08003 Barcelona, Spain;2. IMEDEA (CSIC-UIB), Carrer Miquel Marques 21, 07190 Esporles, Spain;3. ETSICCP (UCLM), Avenida Camilo Jose Cela 2, 13071 Ciudad Real, Spain;1. Laboratoire Comportement des Structures en Mer, IFREMER Centre de Brest, B.P. 70, F-29280 Plouzané, France;2. Laboratoire de Mathématiques de Bretagne Atlantique, Université de Bretagne Occidentale, Brest, France;3. LOCEAN/IPSL, Université Pierre et Marie Curie, Paris, France |
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| Abstract: | This work focuses on linear shoaling performance of low order Boussinesq-type equations. It is shown that the linear shoaling errors can be important in well known equations in the literature. New sets of coefficients are presented for three well known sets of equations. The sets are found so as to minimize a global linear error that includes celerity and shoaling errors. Finally, a new set of enhanced bilayer low order equations is presented, with much improved linear behavior (errors in wave celerity and wave amplitude below 1% up to kh = 20). For completeness, the equations are written in their fully nonlinear version, and the nonlinear coefficients are also given. |
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