کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6918950 | 863037 | 2009 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity
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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 propose a discontinuous-Galerkin-based immersed boundary method for elasticity problems. The resulting numerical scheme does not require boundary fitting meshes and avoids boundary locking by switching the elements intersected by the boundary to a discontinuous Galerkin approximation. Special emphasis is placed on the construction of a method that retains an optimal convergence rate in the presence of non-homogeneous essential and natural boundary conditions. The role of each one of the approximations introduced is illustrated by analyzing an analog problem in one spatial dimension. Finally, extensive two- and three-dimensional numerical experiments on linear and nonlinear elasticity problems verify that the proposed method leads to optimal convergence rates under combinations of essential and natural boundary conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 198, Issues 17â20, 15 April 2009, Pages 1513-1534
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 198, Issues 17â20, 15 April 2009, Pages 1513-1534
نویسندگان
Ramsharan Rangarajan, Adrián Lew, Gustavo C. Buscaglia,