کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640482 1341276 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On ellipticity of balance equations for atmospheric dynamics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On ellipticity of balance equations for atmospheric dynamics
چکیده انگلیسی

Initial data for atmospheric multi-scale models need to be adjusted in order to ensure small amplitudes of high-frequency oscillations. Different adjustment methods lead to balance conditions in the form of time-independent partial differential systems with appropriate boundary conditions. One of the issues of such systems is a violation of the ellipticity conditions in a part of the problem domain. In this study we present the ellipticity conditions for balance equations based on diagnostic divergence relation with different levels of complexity and explore the existence of non-elliptic regions in the gridded fields of the atmospheric analysis data. It is shown that more physically justifiable balance equations are associated with much sparser and less intensive non-elliptic regions. The obtained results confirm Kasahara’s assumption that ellipticity conditions are violated in the actual atmospheric fields essentially due to approximations made under deriving balance equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 4, 15 June 2010, Pages 1017–1026
نویسندگان
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