Adaptive third order Adams-Bashforth time integration for extended Boussinesq equations

We develop the third-order adaptive Adams-Bashforth time integration and second-order finite difference equation for variable steps. incorporate these schemes in Celeris Advent software to discretize solve 2D extended Boussinesq equations. This uses a hybrid volume – scheme leverages GPU equations faster than real-time while concurrently visualizing them. The newly added significantly improves robustness of model providing computational performance. simulate several benchmarks using stepping demonstrate capability modeling wave-breaking, wave runup, irregular waves, rip currents. Program title: (v.1.3.4) CPC Library link program files: https://doi.org/10.17632/pwsjdsgz89.1 Licensing provisions: GNU General Public License 3 Programming language: C++, HLSL Nature problem: started new paradigm nearshore simulations enabled researchers engineers run Boussinesq-type model, an interactive environment. For simplicity, we assumed fixed step our first implementation Advent. often needs be chosen conservatively such that can resolve most extreme cases during experiment. In practical simulations, as simulating coastal fields, superposition boundary initial conditions may cause rare but conditions, requiring very small is too conservative simulation. Solution method: developed third order let with step, allowing it decrease only when necessary. are presented generic format therefore used solving other well. Additional comments including restrictions unusual features: version runs ∼3 times standard conical island benchmark, this benchmark on 200×200 grid magnitude consumer-level gaming laptop. field simulation events, ∼25 faster.