期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 231, 期 7, 页码 2741-2763出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2011.12.012
关键词
Adaptive moving mesh; Multiscale atmospheric flow; Geometric conservation law; Non-oscillatory forward-in-time scheme
资金
- Deutsche Forschungsgemeinschaft [SPP 1276]
- DOE [DE-FG02-08ER64535]
- National Science Foundation [OCI-0904599]
- NCAR
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.
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