کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4614695 | 1339297 | 2015 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A nonlinear weighted least-squares finite element method for the Carreau-Yasuda non-Newtonian model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
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چکیده انگلیسی
We study a nonlinear weighted least-squares finite element method for the Navier-Stokes equations governing non-Newtonian fluid flows by using the Carreau-Yasuda model. The Carreau-Yasuda model is used to describe the shear-thinning behavior of blood. We prove that the least-squares approximation converges to linearized solutions of the non-Newtonian model at the optimal rate. By using continuous piecewise linear finite element spaces for all variables and by appropriately adjusting the nonlinear weighting function, we obtain optimal L2-norm error convergence rates in all variables. Numerical results are given for a Carreau fluid in the 4-to-1 contraction problem, revealing the shear-thinning behavior. The physical parameter effects are also investigated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 432, Issue 2, 15 December 2015, Pages 844-861
Journal: Journal of Mathematical Analysis and Applications - Volume 432, Issue 2, 15 December 2015, Pages 844-861
نویسندگان
Hsueh-Chen Lee,