Modelling atmospheric flows with adaptive moving meshes

JOURNAL OF COMPUTATIONAL PHYSICS

卷:231

Article

Kuehnlein, Christian¹  Smolarkiewicz, Piotr K.²  Doernbrack, Andreas¹ 

[1] Deutsch Zentrum Luft & Raumfahrt DLR, Inst Phys Atmosphare, D-82234 Oberpfaffenhofen, Germany

[2] Natl Ctr Atmospher Res, Boulder, CO 80307 USA

关键词: Adaptive moving mesh;    Multiscale atmospheric flow;    Geometric conservation law;    Non-oscillatory forward-in-time scheme;   

DOI  :  10.1016/j.jcp.2011.12.012

来源: Elsevier

【 摘 要 】

An anelastic atmospheric flow solver has been developed that combines semi-implicit nonoscillatory 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. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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