کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4964155 | 1447420 | 2017 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport
ترجمه فارسی عنوان
یک روش عنصر محدود ثابت مخلوط ثابت برای استوکس و دارسی همراه با حمل و نقل جریان دارد
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
In this article, we present a stabilized mixed finite element method for solving the coupled Stokes and Darcy flow equations with a solute transport. The mathematical model includes the velocity and pressure equations and concentration equation where the viscosity depends on the concentration. We propose a mixed weak formulation and use the nonconforming piecewise Crouzeix-Raviart finite element, piecewise constant and conforming piecewise linear finite element to approximate velocity, pressure and concentration respectively. The existence, uniqueness of the approximate solution are obtained, and optimal order a priori error estimates are derived. No assumption on the boundness of the infinity norms of approximate velocity or concentration or the restriction about the time-step and spatial meshsize is needed due to a new weak formulation introduced for the concentration equation. Numerical examples are presented to verify the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 315, 1 March 2017, Pages 169-189
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 315, 1 March 2017, Pages 169-189
نویسندگان
Hongxing Rui, Jingyuan Zhang,