کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
158363 | 457005 | 2007 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Jacobi galerkin spectral method for cylindrical and spherical geometries
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی شیمی
مهندسی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The approximation of the convection–diffusion problem based on the Galerkin method in Cartesian, cylindrical and spherical coordinates is considered with emphasis in the last two cases. In particular, cylindrical and spherical coordinates can lead to a degeneracy in the global system of equations. This difficulty is removed by incorporating the factor r into the weight function which is introduced naturally by using Jacobi polynomials Pk(α,β) with α=0α=0 and β=1,2β=1,2. By doing this, an unified framework is obtained for handling the typical geometries required in chemical engineering. Examples are presented based on the Galerkin method for discussing the applicability of this approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chemical Engineering Science - Volume 62, Issue 23, December 2007, Pages 6777–6783
Journal: Chemical Engineering Science - Volume 62, Issue 23, December 2007, Pages 6777–6783
نویسندگان
M. Fernandino, C.A. Dorao, H.A. Jakobsen,