流体力学与飞行力学

旋翼干扰流场数值模拟中的新型Blend低速预处理方法

  • 陈龙 ,
  • 夏健 ,
  • 田书玲
展开
  • 南京航空航天大学 航空宇航学院, 南京 210016

收稿日期: 2017-11-30

  修回日期: 2018-02-09

  网络出版日期: 2018-02-09

基金资助

江苏高校优势学科建设工程资助项目

A new Blend low speed preconditioning method for numerical simulation of rotor interaction flowfield

  • CHEN Long ,
  • XIA Jian ,
  • TIAN Shuling
Expand
  • College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received date: 2017-11-30

  Revised date: 2018-02-09

  Online published: 2018-02-09

Supported by

A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions

摘要

针对定常低速预处理在双时间步长内收敛性差、旋翼干扰流场数值模拟中非定常低速预处理自动退化为无预处理的问题,在非定常低速预处理方法的基础上,采用量级分析方法研究了对流项和黏性项量级,通过组合定常和非定常预处理特征值矩阵,建立了一种新型Blend低速预处理方法。通过圆柱非定常扰流、前飞直升机旋翼/机身干扰非定常流场和直升机/舰船干扰非定常流场的数值模拟,对各低速预处理方法的收敛性和预测精度进行了细致研究。结果表明,本文方法解决了在旋翼干扰流场数值模拟时非定常低速预处理自动退化为无预处理的问题,相比定常低速预处理大幅提高了收敛效率。

本文引用格式

陈龙 , 夏健 , 田书玲 . 旋翼干扰流场数值模拟中的新型Blend低速预处理方法[J]. 航空学报, 2018 , 39(8) : 121903 -121903 . DOI: 10.7527/S1000-6893.2018.21903

Abstract

Steady low speed preconditioning is of poor convergence in dual-time iterations, and unsteady low speed preconditioning automatically reverts back to no preconditioning in numerical simulation of rotor aerodynamic interaction. To overcome these problems, we conduct an order analysis to blend the steady and unsteady low speed preconditioning eigenvalues matrices based on the unsteady low speed preconditioning framework. A new Blend low speed preconditioning method is developed from altering the dissipation formulation using this matrix.The unsteady flow around the circular cylinder, unsteady rotor-fuselage aerodynamic interaction in the helicopter forward and coupling ship/rotor flowfields are simulated to validate the proposed method. The numerical results indicate that the proposed method can solve the problem of automatical reversion of unsteady low speed preconditioning back to no preconditioning, and can improve significantly convergence of steady low speed preconditioning.

参考文献

[1] CROZON C, STEIJL R, BARAKOS G N. Numerical study of helicopter rotors in a ship airwake[J]. Journal of Aircraft, 2014, 51(6):1813-1832.
[2] 苏大成, 史勇杰, 徐国华, 等. 直升机/舰船耦合流场的数值模拟[J]. 航空学报, 2017, 38(7):520853. SU D C, SHI Y J, XU G H. Numerical simulation of coupled flow field of helicopter/ship[J]. Acta Aeronoutica et Astronautica Sinica, 2017, 38(7):520853(in Chinese).
[3] 刘晨, 王江峰, 伍贻兆. 低马赫数流动中的预处理Euler方程的收敛特性[J]. 航空学报, 2009, 30(5):842-848. LIU C, WANG J F, WU Y Z. Convergence characteristics of preconditioned Euler equations at low Mach numbers[J]. Acta Aeronoutica et Astronautica Sinica, 2009, 30(5):842-848(in Chinese).
[4] 肖中云, 江雄, 陈作斌, 等.低速预处理方法在悬停旋翼模拟中的应用[J]. 航空学报, 2008, 29(2):321-326. XIAO Z Y, JIANG X, CHEN Z B, et al. Application of low speed preconditioning to hovering rotor simulation[J]. Acta Aeronoutica et Astronautica Sinica, 2008, 29(2):321-326(in Chinese).
[5] XIE F T,SONG W P,HAN Z H. Numerical study of high-resolution scheme based on preconditioning method[J]. Journal of Aircraft, 2009, 46(2):520-525.
[6] HAN Z H, HE F, SONG W P, et al. A preconditioned multigrid method for efficient simulation of three-dimensional compressible and incompressible flows[J]. Chinese Journal of Aeronautics, 2007, 20(4):289-296.
[7] 李欢, 陈江涛, 马明生, 等. 一种基于特征关系式的预处理远场边界条件研究[J]. 航空学报, 2017, 38(12):121364. LI H, CHEN J T, MA M S,et al. Study of a farfield boundary condition for preconditioning systems based on characteristic relations[J]. Acta Aeronoutica et Astronautica Sinica, 2017, 38(12):121364(in Chinese).
[8] LIU Z Y, LIU W,NIE X Y, et al. Computational-fluid-dynamics solver with preconditioned method for aerodynamic simulation of high-lift configuration[J]. Journal of Aircraft, 2016, 53(4):1056-1064.
[9] 韩忠华, 宋文萍, 乔志德.一种隐式预处理方法及其在定常和非定常流动数值模拟中的应用[J]. 计算物理, 2009, 26(5):679-684. HAN Z H, SONG W P, QIAO Z D. An implicit preconditioning method for steady and unsteady flows[J]. Chinese Journal of Computational Physics, 2009, 26(5):679-684(in Chinese).
[10] COLIN Y, DENIAU H, BOUSSUGE J F. A robust low speed preconditioning formulation for viscous flow computations[J]. Computers & Fluids, 2011, 47(7):1-15.
[11] SHISHIR A P, SANKARAN V, THOMAS H P. Implementation of preconditioned dual-time procedures in OVER-FLOW:AIAA-2003-0072[R]. Reston, VA:AIAA, 2003.
[12] POTSDAM M A, SANKARAN V, PANDYA S A. Unsteady low Mach preconditioning with application to rotorcraft flows:AIAA-2007-04473[R]. Reston, VA:AIAA, 2007.
[13] SACHDEV J S, HOSANGADI A. Improved flux formulations for unsteady low Mach number flows:ADA588085[R]. Edwards:AFMC, 2012.
[14] 夏健, 田书玲, 王江峰, 等. 三维动态非结构重叠网格Navier-Stokes方程并行算法[J]. 航空学报, 2008, 29(5):1118-1124. XIA J, TIAN S L, WANG J F, et al. Parallel computing strategy for 3D dynamic overset unstructured Navier-Stokes solver[J]. Acta Aeronoutica et Astronautica Sinica, 2008, 29(5):1118-1124(in Chinese).
[15] WEISS J M, SMITH W A. Preconditioning applied to variable and constant density flows[J]. AIAA Journal, 1995, 33(11):2050-2057.
[16] LEE S H. Convergence characteristics of preconditioned Euler equations[J]. Journal of Computational Physics, 2005, 208(1):266-288.
文章导航

/