کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6917484 | 862954 | 2014 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Mixed finite element methods for addressing multi-species diffusion using the Maxwell-Stefan equations
ترجمه فارسی عنوان
روش های عناصر محدود عنصر برای رسیدگی به انتشار چندگانه با استفاده از معادلات ماکسول-استیفن
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کلمات کلیدی
ماکسول استیفن، عنصر محدود ترکیبی انتشار چندین گونه،
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
The Maxwell-Stefan equations are a system of nonlinear partial differential equations that describe the diffusion of multiple chemical species in a container. These equations are of particular interest for their applications to biology and chemical engineering. The nonlinearity and coupled nature of the equations involving many variables rule out analytical solutions, so numerical methods are often used. In the literature the system is inverted to write fluxes as functions of the species gradient before any numerical method is applied. In this paper it is shown that employing a mixed finite element method makes the inversion unnecessary, allowing the numerical solution of Maxwell-Stefan equations in their primitive form. A mixed variational formulation is derived in the general n-ary case. A priori error estimates between the finite element and exact solutions are obtained. The order of convergence of the method is then verified and compared with standard methods using a manufactured solution. Finally, the solution is computed for a test case from the literature involving the diffusion of three species and compared to solutions from other methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 279, 1 September 2014, Pages 515-535
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 279, 1 September 2014, Pages 515-535
نویسندگان
Michael McLeod, Yves Bourgault,