Unstructured Spectral Element Model for Dispersive and Nonlinear Wave Propagation
Paper in proceeding, 2016

We introduce a new stabilized high-order and unstructured numerical model for modeling fully nonlinear and dispersive water waves. The model is based on a nodal spectral element method of arbitrary order in space and a σ-transformed formulation due to Cai, Langtangen, Nielsen and Tveito (1998). In the present paper we use a single layer of quadratic (in 2D) and prismatic (in 3D) elements. The model has been stabilized through a combination of over-integration of the Galerkin projections and a mild modal filter. We present numerical tests of nonlinear waves serving as a proof-of-concept validation for this new high-order model. The model is shown to exhibit exponential convergence even for very steep waves and there is a good agreement to analytic and experimental data.

unstructured mesh.

Fully nonlinear wave propagation


potential flow equation

spectral element method


Allan P. Engsig-Karup

Claes Eskilsson

Chalmers, Shipping and Marine Technology, Marine Technology

Daniele Bigoni

Proceedings of the International Offshore and Polar Engineering Conference

10986189 (ISSN) 15551792 (eISSN)

978-1-880653-88-3 (ISBN)

Subject Categories

Marine Engineering



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