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Towards mesh adaptivity for geophysical turbulence: continuous mapping approach
Author(s) -
Smolarkiewicz Piotr K.,
Prusa Joseph M.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.858
Subject(s) - curl (programming language) , turbulence , computer science , inviscid flow , differential (mechanical device) , scale (ratio) , polygon mesh , mathematics , mathematical optimization , geology , meteorology , aerospace engineering , mechanics , physics , engineering , computer graphics (images) , quantum mechanics , programming language
Looking forward towards mesh adaptivity for simulating turbulent atmospheric/oceanic flows, we are pursuing advanced algorithms for evaluating vector differential operators cast in time‐dependentcurvilinear co‐ordinates. In this paper, we review our effort to date with the development of a deformable‐co‐ordinates multi‐scale anelastic model designed from the bottom‐up relying on strengths ofnon‐oscillatory transport methods. We have shown in earlier works that effective multi‐scale adaptive numerical models for high‐Reynolds‐number meteorological flows can be designed that dispense with rigorous evaluation of the more cumbersome of the vector differential operators, such as the curl or the strain rate. These operators are nonetheless important for budget analyses of the model results, estimating physical uncertainties, driving the mesh adaptivity itself, and extending the model's applicability beyond standard meteorological situations. Here, we discuss selected extensions of the generic explicitly inviscid approach. Copyright © 2005 John Wiley & Sons, Ltd.