• Corpus ID: 202542694

Adaptive Third Order Adams-Bashforth Time Stepping Scheme for 2D Extended Boussinesq Equations

@article{Tavakkol2019AdaptiveTO,
  title={Adaptive Third Order Adams-Bashforth Time Stepping Scheme for 2D Extended Boussinesq Equations},
  author={Sasan Tavakkol and Sangyoung Son and Patrick J. Lynett},
  journal={ArXiv},
  year={2019},
  volume={abs/1909.04153}
}
We develop the third-order adaptive Adams-Bashforth time stepping scheme and the second-order finite difference discretization equation for variable time steps. We incorporate these schemes in the Celeris Advent software to discretize and solve the extended Boussinesq equations. This software uses a hybrid finite volume - finite difference scheme and leverages GPU to solve the equations faster than real-time as well to concurrently visualize them. We simulate several benchmarks using the… 

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