کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639768 | 1341250 | 2012 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Long time stability of four methods for splitting the evolutionary Stokes–Darcy problem into Stokes and Darcy subproblems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Long time stability of four methods for splitting the evolutionary Stokes–Darcy problem into Stokes and Darcy subproblems Long time stability of four methods for splitting the evolutionary Stokes–Darcy problem into Stokes and Darcy subproblems](/preview/png/4639768.png)
چکیده انگلیسی
This report analyzes the long time stability of four methods for non-iterative, sub-physics, uncoupling for the evolutionary Stokes–Darcy problem. The four methods uncouple each timestep into separate Stokes and Darcy solves using ideas from splitting methods. Three methods uncouple sequentially while one is a parallel uncoupling method. We prove long time stability of four splitting based partitioned methods under timestep restrictions depending on the problem parameters. The methods include those that are stable uniformly in S0S0, the storativity coefficient, for moderate kminkmin, the minimum hydraulic conductivity, uniformly in kminkmin for moderate S0S0 and with no coupling between the timestep and the spacial meshwidth.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 13, July 2012, Pages 3198–3217
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 13, July 2012, Pages 3198–3217
نویسندگان
William Layton, Hoang Tran, Xin Xiong,