activity
20142025
most citedSpectral/hp element methods: recent developments, applications, and perspectives

87 citations · 175 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2025

A High-Order Spectral Element Solver for Steady-State Free Surface Flows

Simone Minniti, Jens Visbech, Claes Eskilsson +2

We present a spectral element solver for the steady incompressible Navier-Stokes equations subject to a free surface. Utilizing the kinematic behaviour of the free surface boundary…

physics.flu-dyn2018★ 87 cited

Spectral/hp element methods: recent developments, applications, and perspectives

Hui Xu, Chris D. Cantwell, Carlos Monteserin +3

The spectral/hp element method combines the geometric flexibility of the classical h-type finite element technique with the desirable numerical properties of spectral methods, empl…

physics.comp-ph2017★ 12 cited

A Stabilised Nodal Spectral Element Method for Fully Nonlinear Water Waves, Part 2: Wave-body interaction

A. P. Engsig-Karup, C. Monteserin, C. Eskilsson

We present a new stabilised and efficient high-order nodal spectral element method based on the Mixed Eulerian Lagrangian (MEL) method for general-purpose simulation of fully nonli…

physics.comp-ph2015★ 59 cited

A Stabilised Nodal Spectral Element Method for Fully Nonlinear Water Waves

Allan Peter Engsig-Karup, Claes Eskilsson, Daniele Bigoni

We present an arbitrary-order spectral element method for general-purpose simulation of non-overturning water waves, described by fully nonlinear potential theory. The method can b…

physics.comp-ph2014★ 17 cited

Efficient uncertainty quantification of a fully nonlinear and dispersive water wave model with random inputs

Daniele Bigoni, Allan P. Engsig-Karup, Claes Eskilsson

A major challenge in next-generation industrial applications is to improve numerical analysis by quantifying uncertainties in predictions. In this work we present a formulation of…