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自由节点差分法寻点策略研究及验证

卢俊宇 徐春光 陈洁 刘君 王元靖

空气动力学学报2024,Vol.42Issue(4):65-74,10.
空气动力学学报2024,Vol.42Issue(4):65-74,10.DOI:10.7638/kqdlxxb-2023.0015

自由节点差分法寻点策略研究及验证

Research and verification of point selection strategy for flexible-node finite difference method

卢俊宇 1徐春光 1陈洁 2刘君 3王元靖4

作者信息

  • 1. 中山大学航空航天学院,广州 510275
  • 2. 大连理工大学航空航天学院,大连 116024
  • 3. 大连理工大学航空航天学院,大连 116024||宁波大学机械工程与力学学院,宁波 315211
  • 4. 中国空气动力研究与发展中心高速空气动力研究所,绵阳 621000
  • 折叠

摘要

Abstract

Hybrid grid is usually composed of spatial cartesian grid and body-fitted grid,which combine the advantages of cartesian grid and body-fitted grid,and has certain advantages in the grid generation and processing of complex geometries shapes.It has become an important grid generation technique in CFD.In the hybrid grid,there is an interface between the spatial cartesian grid and the body-fitted grid,and the flow field information between them needs to be exchanged by interpolation.This process will introduce extra errors and affect the calculation accuracy of the flow field.To solve this problem,Chen et al.proposed flexible-node difference method(FN-FDM)based on DEER algorithm,which can conduct the difference computation of overlapping grid interface flow field and reduce the errors introduced by interpolation computation.The computation stencil of FN-FDM needs to select the grid points from the point cloud around the central point,and different point selection strategies have different effects on the calculation results.Aiming at the point selection requirement of FN-FDM,this paper proposes several different point selection strategies considering angle,orthogonality,distance and other factors,and verifies them by numerical experiments.Numerical experimental results show that the proposed point selection strategy based on the construction idea of FN-FDM,can obtain stable convergence solutions.The distance between the computation point and the central point has the most prominent influence on the computational accuracy,and is the major influence factor of the point selection strategy.

关键词

混合网格/自由节点差分法/DEER算法/点云/选点准则

Key words

hybrid grid/flexible-nodes difference method/DEER algorithm/point cloud/point selection criterion

分类

航空航天

引用本文复制引用

卢俊宇,徐春光,陈洁,刘君,王元靖..自由节点差分法寻点策略研究及验证[J].空气动力学学报,2024,42(4):65-74,10.

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