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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
GPU-Accelerated Energy-Conserving Methods for the Two-Dimensional Hyperbolized Serre-Green-Naghdi Equations
Collin Wittenstein, Vincent Marks, Mario Ricchiuto +1
We develop energy-conserving numerical methods for a two-dimensional hyperbolic approximation of the Serre-Green-Naghdi equations with variable bathymetry and either periodic or re…