• Corpus ID: 239885361

An interface-tracking space-time hybridizable/embedded discontinuous Galerkin method for nonlinear free-surface flows

@article{Jones2021AnIS,
  title={An interface-tracking space-time hybridizable/embedded discontinuous Galerkin method for nonlinear free-surface flows},
  author={Giselle Sosa Jones and Sander Rhebergen},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.13779}
}
We present a compatible space-time hybridizable/embedded discontinuous Galerkin discretization for nonlinear free-surface waves. We pose this problem in a two-fluid (liquid and gas) domain and use a time-dependent level-set function to identify the sharp interface between the two fluids. The incompressible two-fluid equations are discretized by an exactly mass conserving space-time hybridizable discontinuous Galerkin method while the level-set equation is discretized by a space-time embedded… 

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