کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6916884 | 862957 | 2015 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An immersed discontinuous finite element method for Stokes interface problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
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چکیده انگلیسی
We present a discontinuous immersed finite element (IFE) method for Stokes interface problems on Cartesian meshes that do not require the mesh to be aligned with the interface. As such, the method allows unfitted meshes with elements cut by the interface and thus, may contain more than one fluid. On these unfitted meshes we construct an immersed Q1/Q0 finite element space according to the location of the interface and pertinent interface jump conditions. The proposed Q1/Q0 IFE shape functions have several desirable features such as the unisolvence and the partition of unity. We present several numerical examples to demonstrate that the proposed IFE spaces maintain the optimal approximation capability with respect to the polynomials used. We also show that related discontinuous IFE solutions of Stokes interface problems maintain the optimal convergence rates in both L2 and broken H1 norms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 293, 15 August 2015, Pages 170-190
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 293, 15 August 2015, Pages 170-190
نویسندگان
Slimane Adjerid, Nabil Chaabane, Tao Lin,