Investigation of the Immersed Boundary Method Based on the Inverse Distance Weighted Interpolation Reconstruction

WANG Xinxin; ZHAO Wandong; LIANG Jianhan

doi:10.21656/1000-0887.440360

Volume 46 Issue 6

Jun. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(6): 687-696

WANG Xinxin, ZHAO Wandong, LIANG Jianhan. Investigation of the Immersed Boundary Method Based on the Inverse Distance Weighted Interpolation Reconstruction[J]. Applied Mathematics and Mechanics, 2025, 46(6): 687-696. doi: 10.21656/1000-0887.440360

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Investigation of the Immersed Boundary Method Based on the Inverse Distance Weighted Interpolation Reconstruction

doi: 10.21656/1000-0887.440360

College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, P.R.China

Received Date: 2023-12-19
Rev Recd Date: 2024-11-12

Available Online: 2025-06-30

Abstract

Abstract

An adaptive power parameter inverse distance weighted (AIDW) reconstruction method to enhance the accuracy of the ghost cell method, was proposed for handling of immersed boundary. The AIDW utilizes the characteristics of the inverse distance weighted interpolation, integrating comprehensive information from the distribution of physical parameters at interpolation nodes with local flow properties to automatically adjust the power parameter value, to improve the reconstruction precision across various flow conditions, particularly in the cases of discontinuities near complex boundaries. Numerical simulations of 2 examples of an inclined shock tube and a cylindrical Couette flow demonstrate advantages of the AIDW in correcting distortions at discontinuous interfaces and in enhancing the accuracy of the physical parameter distribution.
- immersed boundary method,
- ghost cell method,
- inverse distance weighted interpolation,
- Cartesian grid

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References(24)

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