activity
20222026
most citedA spectral element solution of the 2D linearized potential flow radiation problem

3 citations · 3 across the 7 of their papers we have counts for

collaborators

8 papers

physics.flu-dyn2026

A high-order polynomial-corrected shifted boundary method for simulating fully nonlinear water waves

Jens Visbech, Allan P. Engsig-Karup, Harry B. Bingham +1

We present a novel unfitted computational framework for simulating fully nonlinear potential flow-based water waves. Focusing on wave propagation, we describe the core methodology,…

math.NA2026

Generalized high-order minimization-based polynomial corrections on unfitted spectral elements for the Poisson problem

Mirco Ciallella, Jens Visbech

Higher-order finite element methods are effective for solving partial differential equations. However, applying them in complex curved domains is often difficult due to challenges…

physics.flu-dyn2026

Estimating Hydrodynamic Coefficients for Floating Offshore Structures from Movement Data Using Physics-Informed Neural Networks

Anders Schou, Jens Visbech, Allan Peter Engsig-Karup

We present a method for estimating the hydrodynamic coefficients in the Cummins equations using time-series data from a moving body, such as a floating offshore structure. The prop…

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…

math.NA2025

FNPF-SEM: A parallel spectral element model in Firedrake for fully nonlinear water wave simulations

Jens Visbech, Anders Melander, Allan Peter Engsig-Karup

We present a new parallel spectral element solver, FNPF-SEM, for simulating linear and fully nonlinear potential flow-based water waves and their interaction with offshore structur…

math.NA2023

A spectral element solution of the Poisson equation with shifted boundary polynomial corrections: influence of the surrogate to true boundary mapping and an asymptotically preserving Robin formulation

Jens Visbech, Allan Peter Engsig-Karup, Mario Ricchiuto

We present a new high-order accurate spectral element solution to the two-dimensional scalar Poisson equation subject to a general Robin boundary condition. The solution is based o…

math.NA2023

Solving the complete pseudo-impulsive radiation and diffraction problem using a spectral element method

Jens Visbech, Allan P. Engsig-Karup, Harry B. Bingham

This paper presents a novel, efficient, high-order accurate, and stable spectral element-based model for computing the complete three-dimensional linear radiation and diffraction p…

math.NA2022★ 3 cited

A spectral element solution of the 2D linearized potential flow radiation problem

Jens Visbech, Allan P. Engsig-Karup, Harry B. Bingham

We present a scalable 2D Galerkin spectral element method solution to the linearized potential flow radiation problem for wave induced forcing of a floating offshore structure. The…