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

FANG Le1

doi:10.3879/j.issn.1000-0887.2013.08.004

Volume 34 Issue 8

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FANG Le1. A Novel High-Order Immersed Boundary Method Based on Filter and Deconvolution Operation[J]. Applied Mathematics and Mechanics, 2013, 34(8): 807-814. doi: 10.3879/j.issn.1000-0887.2013.08.004

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

doi: 10.3879/j.issn.1000-0887.2013.08.004

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

Received Date: 2013-03-29
Rev Recd Date: 2013-05-28
Publish Date: 2013-08-15

Abstract

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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References(16)

References

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