An Asymptotic Preserving Scheme for Low Froude Number Shallow Flows

@inproceedings{Arun2013AnAP,
  title={An Asymptotic Preserving Scheme for Low Froude Number Shallow Flows},
  author={Koottungal Revi Arun and Sebastian Noelle},
  year={2013}
}
We present an asymptotic preserving (AP), large time-step scheme for the shallow water equations in the low Froude number limit. Based on a multiscale asymptotic expansion, the momentum fluxes are split into a nonstiff and a stiff part. A semi-implicit discretisation, where the nonstiff terms are treated explicitly and stiff terms implicitly in time, is crucial to achieve the AP property. A combination of the semi-discrete mass and momentum equations leads to an elliptic equation for the water… CONTINUE READING

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