一种基于过滤与反卷积的新型高阶浸没边界法

方乐

doi:10.3879/j.issn.1000-0887.2013.08.004

一种基于过滤与反卷积的新型高阶浸没边界法

doi: 10.3879/j.issn.1000-0887.2013.08.004

方乐^1,2

¹北京航空航天大学中法工程师学院, 北京 100191;²法国里昂中央理工大学流体声学研究所

基金项目: 国家自然科学基金资助项目(11202013)

详细信息

作者简介:
方乐(1983—),安徽歙县人,副教授,博士(E-mail:le.fang@zoho.com).

中图分类号: O242.1;O242.2;O35
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- 被引次数: 0
出版历程
- 收稿日期: 2013-03-29
- 修回日期: 2013-05-28
- 刊出日期: 2013-08-15

A Novel High-Order Immersed Boundary Method Based on Filter and Deconvolution Operation

FANG Le1^1,2

¹Ecole Centrale de Pékin, Beihang University, Beijing 100191, P.R.China;²Laboratoire de Mécanique des Fluides et d’Acoustique, cole centrale de Lyon, 69130, cully, BP 163, France

摘要

摘要: 传统浸没边界法在边界附近只有一阶精度，而高精度的改进方法都需要额外引入跳跃条件，因此不具备普适性．文中设计了一种基于过滤和反卷积的新型算法，既在一定程度上提高了精度，又避免了以往方法中引入额外跳跃条件的难题．通过一个简单的一维算例验证了新算法可以达到接近二阶精度，其具体的精度值与反卷积步骤中选取的逆核函数在积分域边界的连续性有关．
- 浸没边界法 /
- 反卷积 /
- 过滤
Abstract: The traditional immersed boundary method has only first-order accuracy near boundary. Existing improvements need additional jump conditions thus are not general. A novel method based on filter and deconvolution was introduced. It improved the accuracy, and avoided the problems of jump conditions. A simple 1-D case was performed to proove that the accuracy was nearly second order. It is found that the exact order value depends on the boundary continuity of the inverse kernel function chosen in deconvolution.
- immersed boundary method /
- deconvolution /
- filter

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参考文献(16)

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