Kühnlein, C. and Smolarkiewicz, P. and Dörnbrack, A.
(2012)
*Modelling atmospheric flows with adaptive moving meshes.*
Journal of Computational Physics, 231
(7).
pp. 2741-2763.
ISSN 0021-9991

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

## Abstract

An anelastic atmospheric flow solver has been developed that combines semi-implicit non-oscillatory forward-in-time numerics with a solution-adaptive mesh capability. A key feature of the solver is the unification of a mesh adaptation apparatus, based on moving mesh partial differential equations (PDEs), with the rigorous formulation of the governing anelastic PDEs in generalised time-dependent curvilinear coordinates. The solver development includes an enhancement of the flux-form multidimensional positive definite advection transport algorithm (MPDATA) — employed in the integration of the underlying anelastic PDEs — that ensures full compatibility with mass continuity under moving meshes. In addition, to satisfy the geometric conservation law (GCL) tensor identity under general moving meshes, a diagnostic approach is proposed based on the treatment of the GCL as an elliptic problem. The benefits of the solution-adaptive moving mesh technique for the simulation of multiscale atmospheric flows are demonstrated. The developed solver is verified for two idealised flow problems with distinct levels of complexity: passive scalar advection in a prescribed deformational flow, and the life cycle of a large-scale atmospheric baroclinic wave instability showing fine-scale phenomena of fronts and internal gravity waves.

Item Type: | Article |
---|---|

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

ID Code: | 1122 |

Deposited By: | Ulrike Eickers |

Deposited On: | 06 Feb 2012 12:09 |

Last Modified: | 06 Feb 2012 12:53 |

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