کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8953899 1645968 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphere
ترجمه فارسی عنوان
یک مدل عنصر طیفی مخلوط مینیمم از معادلات آب مقطع آب در ابعاد کوب
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
In a previous article [J. Comp. Phys.357 (2018) 282-304] [4], the mixed mimetic spectral element method was used to solve the rotating shallow water equations in an idealized geometry. Here the method is extended to a smoothly varying, non-affine, cubed sphere geometry. The differential operators are encoded topologically via incidence matrices due to the use of spectral element edge functions to construct tensor product solution spaces in H(rot), H(div) and L2. These incidence matrices commute with respect to the metric terms in order to ensure that the mimetic properties are preserved independent of the geometry. This ensures conservation of mass, vorticity and energy for the rotating shallow water equations using inexact quadrature on the cubed sphere. The spectral convergence of errors are similarly preserved on the cubed sphere, with the generalized Piola transformation used to construct the metric terms for the physical field quantities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 375, 15 December 2018, Pages 240-262
نویسندگان
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