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Implementation of partial reflection boundary conditions in wave propagation model BOUSSIIW

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This paper describes the implementation of a new boundary conditions in the BOUSSIIW model (BOUSSinesq model with Internal Irregular Wave generation). BOUSSIIW is a finite element numerical model for wave propagation in near shore regions that is able to describe the wave field outside and inside harbours and sheltered zones. It is based upon the extended Boussinesq equation derived by Nwogu. These equations describe the nonlinear evolution of waves over a sloping impermeable bottom and are able to reproduce some of the most important physical effects associated with the nonlinear wave transformation in near shore regions. Their range of validity extends from shallow up to intermediate water depths. Monochromatic and irregular waves can be generated by the model using the source function method. The two boundary conditions available were full reflection or full absorption. A new partial reflection boundary condition is implemented. The model is validated with a simple test case. Reflection coefficients obtained with BOUSSIIW were compared to widely used empirical formula, enabling the assessment of the new condition's performance. The results showed that the partial reflection boundary condition implemented was able to absorb energy from the wave and reflect some part back to the numerical domain.

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Boussinesq equations Partial reflection condition Finite element model

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PINHEIRO, L..; [et al] – Implementation of partial reflection boundary conditions in wave propagation model BOUSSIIW. Journal of Coastal Research (Proceedings of the 10th International Coastal Symposium (ICS 2009)). ISSN 0749-0208. SI 56, Part 2 (2009), pp. 1040-1044

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Coastal Education and Research Foundation

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