Effect of regularized delta function on accuracy of immersed boundary method

doi:10.1007/s10483-012-1635-9

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (11): 1453-1466.doi: https://doi.org/10.1007/s10483-012-1635-9

Effect of regularized delta function on accuracy of immersed boundary method

宫兆新¹, 鲁传敬^1,2, 黄华雄³

1. Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China;
2. MOE Key Laboratory of Hydrodynamics, Shanghai 200240, P. R. China;
3. Department of Mathematics and Statistics, York University, Toronto, Ontario M3J 1P3, Canada

收稿日期:2011-09-13 修回日期:2012-07-17 出版日期:2012-11-10 发布日期:2012-11-10
通讯作者: Chuan-jing LU, Professor, E-mail: cjlu@mail.sjtu.edu.cn E-mail:cjlu@mail.sjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11102108) and the Shanghai Leading Academic Discipline Project (No. B206)

Effect of regularized delta function on accuracy of immersed boundary method

Zhao-xin GONG¹, Chuan-jingLU^1,2, Hua-xiong HUANG³

1. Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China;
2. MOE Key Laboratory of Hydrodynamics, Shanghai 200240, P. R. China;
3. Department of Mathematics and Statistics, York University, Toronto, Ontario M3J 1P3, Canada

Received:2011-09-13 Revised:2012-07-17 Online:2012-11-10 Published:2012-11-10
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11102108) and the Shanghai Leading Academic Discipline Project (No. B206)

摘要/Abstract

摘要： The immersed boundary method is an effective technique for modeling and simulating fluid-structure interactions especially in the area of biomechanics. The effect of the regularized delta function on the accuracy is an important subject in the property study. A method of manufactured solutions is used in the research. The computational code is first verified to be mistake-free by using smooth manufactured solutions. Then, a jump in the manufactured solution for pressure is introduced to study the accuracy of the immersed boundary method. Four kinds of regularized delta functions are used to test the effect on the accuracy analysis. By analyzing the discretization errors, the accuracy of the immersed boundary method is proved to be first-order. The results show that the regularized delta function cannot improve the accuracy, but it can change the discretization errors in the entire computational domain.

关键词: immersed boundary method, method of manufactured solutions, regularized delta function, order of accuracy, laminated plate, vibration, buckling, i nitial imperfection, coupling effect, nonlinear dynamic stability

Abstract: The immersed boundary method is an effective technique for modeling and simulating fluid-structure interactions especially in the area of biomechanics. The effect of the regularized delta function on the accuracy is an important subject in the property study. A method of manufactured solutions is used in the research. The computational code is first verified to be mistake-free by using smooth manufactured solutions. Then, a jump in the manufactured solution for pressure is introduced to study the accuracy of the immersed boundary method. Four kinds of regularized delta functions are used to test the effect on the accuracy analysis. By analyzing the discretization errors, the accuracy of the immersed boundary method is proved to be first-order. The results show that the regularized delta function cannot improve the accuracy, but it can change the discretization errors in the entire computational domain.

Key words: immersed boundary method, method of manufactured solutions, regularized delta function, order of accuracy, laminated plate, vibration, buckling, i nitial imperfection, coupling effect, nonlinear dynamic stability

中图分类号:

O368
O241.82

宫兆新;鲁传敬;黄华雄. Effect of regularized delta function on accuracy of immersed boundary method[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1453-1466.

Zhao-xin GONG;Chuan-jingLU;Hua-xiong HUANG. Effect of regularized delta function on accuracy of immersed boundary method[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1453-1466.

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Effect of regularized delta function on accuracy of immersed boundary method

Effect of regularized delta function on accuracy of immersed boundary method

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