کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470387 698462 2014 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New cell–vertex reconstruction for finite volume scheme: Application to the convection–diffusion–reaction equation
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
New cell–vertex reconstruction for finite volume scheme: Application to the convection–diffusion–reaction equation
چکیده انگلیسی

The design of efficient, simple, and easy to code, second-order finite volume methods is an important challenge to solve practical problems in physics and in engineering where complex and very accurate techniques are not required. We propose an extension of the original Frink’s approach based on a cell-to-vertex interpolation to compute vertex values with neighbour cell values. We also design a specific scheme which enables to use whatever collocation point we want in the cells to overcome the mass centre point restrictive choice. The method is proposed for two- and three-dimensional geometries and a second-order extension time-discretization is given for time-dependent equation. A large number of numerical simulations are carried out to highlight the performance of the new method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 68, Issue 10, November 2014, Pages 1229–1249
نویسندگان
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