TY - GEN

T1 - An efficient coupled-mode/FEM numerical method for linear wave propagation over 3D variable bathymetry domains

AU - Papathanasiou, Theodosios K.

AU - Karperaki, Angeliki E.

AU - Belibassakis, Kostas A.

PY - 2016/6/26

Y1 - 2016/6/26

N2 - A robust numerical algorithm for the simulation of linear water wave propagation over uneven bottom topography is developed. The solution strategy is based on a highly efficient reduction of the 3D problem to a system of partial differential equations by means of a consistent coupled mode series expansion for water wave propagation over variable seabed. The main feature of the proposed series representation is the incorporation of special terms in the vertical expansion basis, accounting for the bottom boundary condition of the varying seabed. The formulation of the 2D system follows from the variations, with respect to the expansion coefficients (functions of the horizontal plane spatial coordinates), of a suitably chosen energy functional. The resulting model is a variable coefficient system of second order, with respect to the spatial coordinates, Partial Differential Equations (PDEs). Linear triangular finite elements are employed for the solution of this PDE system offering flexibility in the discretization of complex 2D domains. The numerical method developed has been applied to several test cases yielding accurate representations of the wave field at relatively low computational cost and small execution times.

AB - A robust numerical algorithm for the simulation of linear water wave propagation over uneven bottom topography is developed. The solution strategy is based on a highly efficient reduction of the 3D problem to a system of partial differential equations by means of a consistent coupled mode series expansion for water wave propagation over variable seabed. The main feature of the proposed series representation is the incorporation of special terms in the vertical expansion basis, accounting for the bottom boundary condition of the varying seabed. The formulation of the 2D system follows from the variations, with respect to the expansion coefficients (functions of the horizontal plane spatial coordinates), of a suitably chosen energy functional. The resulting model is a variable coefficient system of second order, with respect to the spatial coordinates, Partial Differential Equations (PDEs). Linear triangular finite elements are employed for the solution of this PDE system offering flexibility in the discretization of complex 2D domains. The numerical method developed has been applied to several test cases yielding accurate representations of the wave field at relatively low computational cost and small execution times.

KW - Coupled mode systems

KW - Finite elements

KW - Transient analysis

KW - Variable bathymetry

KW - Water waves

UR - http://www.scopus.com/inward/record.url?scp=84987927682&partnerID=8YFLogxK

M3 - Conference publication

AN - SCOPUS:84987927682

VL - 3

T3 - Proceedings of the Annual International Offshore and Polar Engineering Conference

SP - 1363

EP - 1370

BT - The Proceedings of The Twenty-sixth (2016) International OCEAN AND POLAR ENGINEERING CONFERENCE

T2 - 26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016

Y2 - 26 June 2016 through 1 July 2016

ER -