کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1704086 1012398 2014 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A compact 9 point stencil based on integrated RBFs for the convection–diffusion equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A compact 9 point stencil based on integrated RBFs for the convection–diffusion equation
چکیده انگلیسی

In this paper, a high-order compact stencil for solving the convection–diffusion equation in two dimensions is proposed. The convection and diffusion terms are both approximated by means of radial basis functions (RBFs) that are constructed over 3×33×3 rectangular stencils. Salient features here are that (i) integration is employed to construct local RBF approximations; and (ii) through the constants of integration, values of the convection–diffusion equation at several selected nodes on the stencil are also enforced. Numerical results indicate that (i) the inclusion of the governing equation into the stencil leads to a significant improvement in accuracy; (ii) when the convection dominates, accurate solutions are obtained at a regime of the RBF width which makes the RBFs peaked; and (iii) high levels of accuracy are achieved using relatively coarse grids.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 38, Issue 4, 15 February 2014, Pages 1495–1510
نویسندگان
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