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Phase Resolving Wave–Current Interactions with Improved Boussinesq-Type Equations

Gonzalo Simarro

Marine Sciences Institute, CSIC, Passeig Maritim de la Barceloneta 37-49, Barcelona 08003, Spain

Corresponding author.

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Alvaro Galan

Civil Engineering School, UCLM, Ciudad Real 13005, Spain

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, and

Alejandro Orfila

IMEDEA, UIB-CSIC, Esporles 07190, Spain

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https://doi.org/10.1142/S0578563415500035Cited by:1 (Source: Crossref)

Abstract

A set of fully nonlinear Boussinessq-type equations with improved linear and nonlinear properties is considered for wave–current interaction analysis. These phase-resolving equations are so that the highest order of the derivatives is three. We implement a new source function for the wave–current generation within the domain, which allows to generate a wide range of wave–current conditions. The set of equations is solved using a fourth order explicit numerical scheme which semi-discretizes the equations in space and then integrates in time using an explicit Runge–Kutta scheme. A novel treatment of the boundaries, which uses radiative boundary conditions for the current and damps the waves, is used to avoid boundary reflections. Several validation tests are presented to demonstrate the capabilities of the new model equations for wave–current interaction.

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