Klein, R. and Benacchio, T. and O'Neill, W.P.
(2014)
*Using the sound-proof limit for balanced data initialization.*
In: ECMWF Seminar on Numerical Methods for Atmosphere and Ocean Modelling, 2-5 September 2013, Reading, UK.

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## Abstract

There is substantial theoretical evidence that the pseudo-incompressible model (Durran 1989) is a valid approximation to the equations of fully compressible flow in meso-scale atmospheric flow regimes. Arguably, numerical methods for the integration of the compressible flow equations should then produce essentially pseudoincompressible results at low flow speeds if the initial data are acoustically balanced. This paper summarizes the construction of a compressible flow solver that observes this desirable. Given a pseudo-incompressible solver, the design of the scheme requires little additional coding as it exploits the close structural similarity of the compressible and pseudo-incompressible model equations. The modified scheme allows us to solve the compressible, pseudo-incompressible, and a continuous family of intermediate models, all of which conserve a model-dependent total energy. We conjecture that such a continuous

Item Type: | Conference or Workshop Item (Paper) |
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Additional Information: | Article in Conference Proceedings |

Subjects: | Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group |

ID Code: | 1348 |

Deposited By: | Ulrike Eickers |

Deposited On: | 26 Nov 2013 09:01 |

Last Modified: | 22 Aug 2014 09:51 |

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