Numerical Study of the Generation and Propagation of Waves on Flat Beaches: an Application in Engineering using SPHysics and FUNWAVE Models

Carlos Alberto Dutra Fraga Filho¹; Fabio Pavan Piccoli¹; Danilo de Almeida Barbosa²; Julio Tomás Aquije Chacaltana²

¹ Instituto Federal do Espírito Santo; ² Universidade Federal do Espírito Santo

doi:10.20906/CPS/COB-2015-0561

Resumo

This study presents a comparison between the application of a Lagrangian meshless method and a Eulerian method that uses meshes to study the generation and propagation of waves in coastal regions. The Eulerian numerical model is based on nonlinear wave equations of Boussinesq type and the Lagrangian model employs the smoothed particle hydrodynamics (SPH) method. The results of numerical simulations show agreement between the models on the behaviour of the free surface. The largest discrepancy occurred in the surf zone, during the breaking, and in the wave overtopping (runup).

Palavras-chave: Smoothed Particle Hydrodynamics; nonlinear wave equations of Boussinesq type; numerical method; surf zone; coastal region