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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.NA2024
A p-Multigrid Accelerated Nodal Spectral Element Method for Free-Surface Incompressible Navier-Stokes Model of Nonlinear Water Waves
Anders Melander, Wojciech Laskowski, Spencer J. Sherwin +1
We present a spectral element model for general-purpose simulation of non-overturning nonlinear water waves using the incompressible Navier-Stokes equations (INSE) with a free surf…
math.NA2024
A High-Order Hybrid-Spectral Incompressible Navier-Stokes Model For Nonlinear Water Waves
Anders Melander, Max E. Bitsch, Dong Chen +1
We present a new high-order accurate computational fluid dynamics model based on the incompressible Navier-Stokes equations with a free surface for the accurate simulation of nonli…