کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4646348 | 1342104 | 2007 | 12 صفحه PDF | دانلود رایگان |
Advective processes are of central importance in many applications and their treatment is crucial in the numerical modelling of the transport of trace constituents in atmospheric models. High-order numerical methods offer the promise of accurately capturing these advective processes in atmospheric flows and have been shown to efficiently scale to large numbers of processors. In this paper, a conservative transport scheme based on the nodal high-order spectral finite volume method is developed for the cubed-sphere. A third-order explicit strong stability preserving scheme is employed for the time integration. The reconstruction procedure which we developed avoids the (expensive) calculation of the inverse of the reconstruction matrix. Flux-corrected transport algorithm is implemented to enforce monotonicity in the two-dimensional transport scheme. Two standard advection tests, a solid-body rotation and a deformational flow, were performed to evaluate the spectral finite volume method optionally combined with a flux-corrected transport scheme. Spectral accuracy in space is demonstrated with a linear wave equation.
Journal: Applied Numerical Mathematics - Volume 57, Issue 9, September 2007, Pages 1021-1032