کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
518740 867611 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A stable and accurate scheme for nonlinear diffusion equations: Application to atmospheric boundary layer
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A stable and accurate scheme for nonlinear diffusion equations: Application to atmospheric boundary layer
چکیده انگلیسی

Stability concerns are always a factor in the numerical solution of nonlinear diffusion equations, which are a class of equations widely applicable in different fields of science and engineering. In this study, a modified extended backward differentiation formulae (ME BDF) scheme is adapted for the solution of nonlinear diffusion equations, with a special focus on the atmospheric boundary layer diffusion process. The scheme is first implemented and examined for a widely used nonlinear ordinary differential equation, and then extended to a system of two nonlinear diffusion equations. A new temporal filter which leads to significant improvement of numerical results is proposed, and the impact of the filter on the stability and accuracy of the results is investigated. Noteworthy improvements are obtained as compared to other commonly used numerical schemes. Linear stability analysis of the proposed scheme is performed for both systems, and analytical stability limits are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 236, 1 March 2013, Pages 271–288
نویسندگان
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