基于反距离加权插值重构的沉浸式边界方法研究

王鑫鑫; 赵万东; 梁剑寒

doi:10.21656/1000-0887.440360

基于反距离加权插值重构的沉浸式边界方法研究

doi: 10.21656/1000-0887.440360

国防科技大学空天科学学院，长沙 410073

基金项目:

国家留学基金委基金（202206110008）；湖南省自然科学基金（2024JJ6454）

详细信息

作者简介:
王鑫鑫（1996—），男，博士生(E-mail: wazedxwxx@gmail.com);赵万东（1993—），男，助理研究员(通讯作者. E-mail: zhaowandong19@nudt.edu.cn);梁剑寒（1973—），男，教授，博士生导师.

通讯作者:
赵万东（1993—），男，助理研究员(通讯作者. E-mail: zhaowandong19@nudt.edu.cn)

中图分类号: O242
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出版历程
- 收稿日期: 2023-12-19
- 修回日期: 2024-11-12
- 网络出版日期: 2025-06-30

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

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

摘要

摘要: 提出了一种自适应的幂参数反距离加权（adaptive power parameter inverse distance weighted, AIDW）的重构方法，旨在提高虚拟网格法在处理沉浸边界问题时的精确性.AIDW利用了反距离加权插值的特性，结合插值节点的物理量分布与局部流动特性的综合信息，以自动调整幂参数的值，从而在各种流场条件下提升重构精度.该方法尤其在处理复杂边界附近的间断界面时存在优势.通过倾斜激波管和圆柱Couette流动两个算例的数值模拟，AIDW展现出了其在修正间断界面的扭曲和提高流场物理量分布精度方面的优势.
- 沉浸式边界法 /
- 虚拟网格法 /
- 反距离加权插值 /
- Descartes网格
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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参考文献(24)

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基于反距离加权插值重构的沉浸式边界方法研究

doi: 10.21656/1000-0887.440360

作者简介:
王鑫鑫（1996—），男，博士生(E-mail: wazedxwxx@gmail.com);赵万东（1993—），男，助理研究员(通讯作者. E-mail: zhaowandong19@nudt.edu.cn);梁剑寒（1973—），男，教授，博士生导师.

通讯作者:
赵万东（1993—），男，助理研究员(通讯作者. E-mail: zhaowandong19@nudt.edu.cn)

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

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留言板

基于反距离加权插值重构的沉浸式边界方法研究

doi: 10.21656/1000-0887.440360

作者简介: 王鑫鑫（1996—），男，博士生(E-mail: wazedxwxx@gmail.com);赵万东（1993—），男，助理研究员(通讯作者. E-mail: zhaowandong19@nudt.edu.cn);梁剑寒（1973—），男，教授，博士生导师.

通讯作者: 赵万东（1993—），男，助理研究员(通讯作者. E-mail: zhaowandong19@nudt.edu.cn)

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出版历程

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

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出版历程

目录

作者简介:
王鑫鑫（1996—），男，博士生(E-mail: wazedxwxx@gmail.com);赵万东（1993—），男，助理研究员(通讯作者. E-mail: zhaowandong19@nudt.edu.cn);梁剑寒（1973—），男，教授，博士生导师.

通讯作者:
赵万东（1993—），男，助理研究员(通讯作者. E-mail: zhaowandong19@nudt.edu.cn)