Papers › A novel energy-bounded Boussinesq model and a well balanced and stable numerical discretisation
A novel energy-bounded Boussinesq model and a well balanced and stable numerical discretisation
Magnus Svärd, Henrik Kalisch
The archive published only this paper's code-link row. Authors, date and abstract are from arXiv's metadata (CC0), read from the Kaggle arXiv metadata snapshot of 2026-09-12 where its title matched the archive's; the title is the archive's.
In this work, a novel Boussinesq system is put forward. The system is naturally nonlinearly entropy/energy-stable, and is designed for problems with sharply varying bathymetric features. The system is flexible and allows tuning of the dispersive parameters to the relevant wavenumber range of the problem at hand. We present a few such parameter sets, including one that tracks the dispersive relation of the underlying Euler equations up to a nondimensional wavenumber of about 30. In the one-dimensional case, we design a stable finite-volume scheme and demonstrate its robustness and accuracy in a suite of test problems including Dingemans's wave experiment. We generalise the system to the two-dimensional case and sketch how the numerical scheme can be straightforwardly generalised.
Code
Repository list and official/mentioned flags are the archive's, frozen 2025-07-28. Reachability, where shown, is from one Syntology probe window (2026-09-16 to 2026-09-18); repositories not probed show nothing. GitHub stars are not tracked.
Code Syntology ran Syntology
Not run by Syntology. Nothing on this page verifies that the listed code works.
Results from the paper archive 2025-07-28
No leaderboard rows for this paper in the archive.
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections