..., 2020). Focusing on creating a model with high accuracy we have chosen to employ a high-order finite element method, namely the Spectral Element Method (SEM), see e.g. Kopriva (2009) for a general overview and Xu et al. (2018) for a recent review on SEM for water waves. Besides providing high accuracy...

... high-order prismatic - possibly curvilinear -elements using a spectral element method (SEM) that has support for adaptive unstructured meshes. This SEM-FNPF model is based on an Eulerian formulation and deviates from past works in that a direct discretization of the Laplace problem is used making...

... Abstract 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 -transformed formulation due to Cai, Langtangen, Nielsen...

.... The governing equations are solved through the Spectral Element Method (SEM), which possesses the property of highorder spatial accuracy as proposed by Karniadakis & Sherwin (2005). The solution procedure and characteristic aspects of the present modeling and numerical method are briefly addressed...

... 1 ABSTRACT: A numerical study of three-dimensional flow past a sphere is performed through direct integration of the incompressible Navier-Stokes equations. A spectral element method is used for the simulation that employs general doubly-curved hexahedra elements for the spatial discretization...