کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
762642 1462760 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Development of a mixed control volume – Finite element method for the advection–diffusion equation with spectral convergence
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Development of a mixed control volume – Finite element method for the advection–diffusion equation with spectral convergence
چکیده انگلیسی

In this paper we attack the problem of devising a finite volume method for computational fluid dynamics and related phenomena which can deal with complex geometries while attaining high-orders of accuracy and spectral convergence at a reasonable computational cost. As a first step towards this end, we propose a control volume finite element method for the solution of the advection–diffusion equation. The numerical method and its implementation are carefully tested in the paper where h- and p-convergence are checked by comparing numerical results against analytical solutions in several relevant test-cases. The numerical efficiency of a selected set of operations implemented is estimated by operation counts, ill-conditioning of coefficient matrices is avoided by using an appropriate distribution of interpolation points and control-volume edges.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Fluids - Volume 40, Issue 1, January 2011, Pages 269–279
نویسندگان
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