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基于高阶空间精度格式和嵌套网格对旋翼尾迹捕捉的改进

徐丽 翁培奋

应用数学和力学2011,Vol.32Issue(12):1461-1471,11.
应用数学和力学2011,Vol.32Issue(12):1461-1471,11.DOI:10.3879/j.issn.1000-0887.2011.12.006

基于高阶空间精度格式和嵌套网格对旋翼尾迹捕捉的改进

Rotor Wake Capture Improvement Based on High Order Spatially Accurate Schemes and Chimera Grids

徐丽 1翁培奋2

作者信息

  • 1. 上海电力学院数理学院,上海 200090
  • 2. 上海大学上海市应用数学和力学研究所,上海 200072
  • 折叠

摘要

Abstract

A high-order upwind scheme was developed to capture vortex wake of a helicopter rotor in hover based on chimera grids. An improved fifth-order weighted essentially non-oscillatory (WENO) scheme was adopted to interpolate higher-order left and right states across a ceD interface with the Roe Riemann solver updating inviscid flux, and was compared with the monotone upwind scheme for scalar conservation laws (MUSCL). For profitably capturing the wake and enforcing period boundary condition, the computation regions of flows were dis-cretized by using structured chimera grids composed of a fine rotor grid and a cylindrical background grid. In the background grid, the mesh cells located in the wake regions were refined after the solution reaches an approximate convergence. The optimized cylindrical mesh was attained by three remeshings. Considering the interpolation characteristic of WENO scheme, three layers of hole boundary and interpolation boundary were searched. The performance of the schemes was investigated in a transonic flow and a subsonic flow around hovering rotor. The results reveal that the present approach has the great capabilities to capture the vortex wake with high resolution, and WENO scheme has much lower numerical dissipation in comparison with MUSCL scheme.

关键词

悬停旋翼/涡尾迹/Navier-Stokes方程/WENO格式/嵌套网格

Key words

hovering rotor/ vortex wake/ Navier-Stokes equations/ WENO scheme/ chimera grids

分类

航空航天

引用本文复制引用

徐丽,翁培奋..基于高阶空间精度格式和嵌套网格对旋翼尾迹捕捉的改进[J].应用数学和力学,2011,32(12):1461-1471,11.

基金项目

国家自然科学基金资助项目(10802046) (10802046)

应用数学和力学

OA北大核心CSCDCSTPCD

1000-0887

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