We develop a numerical model based on the mild-slope equation of water wave propagation over complexbathymetrys, taking into account the combined effects of refraction, diffraction and reflection due to protectionstructures. The numerical method was developed using a split proposed version of the mild-slope equation in ellipticalform and solved by an implicit method in a finite volume mesh, this technique easily allows the modeling of the wavetransformations caused by the protection structures in coastal waters, where industrial and other economic activitiestake place. Study cases controlled have been made and the results match very well with the reference solution. Thecapability and utility of the model for coastal areas are illustrated by its application to the breakwater of the LagunaVerde Nuclear Power Plant (LVNPP) and the protection structure of the Nautical Marine named “Los Ayala”.
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