کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4994653 1458035 2017 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A type of high order schemes for steady convection-diffusion problems
ترجمه فارسی عنوان
یک نوع از طرح های مرتبه بالا برای مشکلات ثابت انتقال سیگنال
کلمات کلیدی
معادله فشرده سازی-انتشار روش حجم محدود طرح سریع،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی جریان سیال و فرایندهای انتقال
چکیده انگلیسی
Based on the viewpoint that the flow direction can be accounted for by adding more weigh of the contribution of the upstream grid point in evaluating the transport fluxes at the cell faces for the convection-dominated flows, a type of high order schemes are proposed for solving convection-diffusion equations. These schemes share the same main algorithm which is developed by integrating the convection-diffusion equation expressed as the first order partial differential equations over selected regions and applying the numerical quadrature with a weighting parameter for approximating the resulting integrals. Interestingly, the error analysis allows us to determine the expressions of the weighting parameter for a series of schemes with the third order scheme as the lowest and the infinite order as the highest order scheme for the source free convection-diffusion problems. Numerical results show that the highest order scheme achieves almost the same accuracy as the exact solution, and does not induce any unphysical oscillation for the convection-dominated flows. Even the third order scheme shows obvious advantages over the traditional finite volume method (FVM) and QUICK scheme in dealing with the multi-dimensional convection-diffusion problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Heat and Mass Transfer - Volume 107, April 2017, Pages 1044-1053
نویسندگان
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