Elliptic Harbor Wave Model with Perfectly Matched Layer and 1 Exterior Bathymetry Effects

4 Standard strategies for dealing with the Sommerfeld condition in elliptic Mild-Slope mod5 els require strong assumptions on the wave field in the region exterior to the computational 6 domain. More precisely, constant bathymetry along (and beyond) the open boundary, and 7 parabolic-approximations based boundary conditions are usually imposed. In general, these 8 restrictions require large computational domains, implying higher costs for the numerical 9 solver. An alternative method for coastal/harbor applications is proposed here. This ap10 proach is based on a Perfectly Matched Layer (PML) that incorporates the effects of the 11 exterior bathymetry. The model only requires constant exterior depth in the alongshore di12 rection, a commonly used approach for idealizing the exterior bathymetry in elliptic models. 13 In opposition to standard open boundary conditions for Mild-Slope models, the features of 14 the proposed PML approach include: (a) completely non-collinear coastlines, (b) better rep15 resentation of the real unbounded domain using two different lateral sections to define the 16 exterior bathymetry, and (c) generation of reliable solutions for any incoming wave direction 17 in a small computational domain. Numerical results of synthetic tests demonstrate that 18 Graduate Student, Laboratori de Calcul Numeric (LaCaN), E.T.S. de Ingenieros de Caminos, Canales y Puertos, Universitat Politecnica de Catalunya-BarcelonaTech, Barcelona, Spain. E-mail: [email protected] Associate Professor, Laboratori de Calcul Numeric (LaCaN), E.T.S. de Ingenieros de Caminos, Canales y Puertos, Universitat Politecnica de Catalunya-BarcelonaTech, Barcelona, Spain. E-mail: [email protected] Professor, Laboratori de Calcul Numeric (LaCaN), E.T.S. de Ingenieros de Caminos, Canales y Puertos, Universitat Politecnica de Catalunya-BarcelonaTech, Barcelona, Spain. url: www.lacan.upc.edu E-mail: [email protected]