台阶流模型流场的局部DQ-Lagrange求解方法

孙丹; 杨建刚; 赵欢; 李广超

台阶流模型流场的局部DQ-Lagrange求解方法

1.
沈阳航空航天大学航空航天工程学部, 沈阳 110136
2.
东南大学能源与环境学院火电机组振动国家工程研究中心, 南京 210096

基金项目: 航空科学基金(2010ZB54004); 辽宁省教育厅基金(L2010425)

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出版历程
- 收稿日期: 2011-10-18
- 刊出日期: 2012-09-28

Research on local DQ-Lagrange method for solving flow field in step flow

1.
Engineering Division of Aerospace, Shenyang Aerospace University, Shenyang 110136, China
2.
National Engineering Research Center of Turbo-Generator Vibration, School of Engineering and Environment, Southeast University, Nanjing 210096, China

摘要

摘要: 以Lagrange多项式作为Differential Quadrature(DQ)方法的基函数,应用局部DQ-Lagrange方法对Navier-Stokes方程进行了数值求解,建立了基于局部迎风DQ-Lagrange方法的复杂台阶流流场求解模型.并在此研究基础上,提出了本质和自然边界条件的处理方法.分析了支持域的选择、边界条件处理方法、迎风机制等对求解精度的影响.结果表明:支持域较大时,Lagrange高阶插值易出现振荡现象,可以采用局部替代全局的插值方法;迎风支持域的加入可以提高求解精度;建模时速度支持域的选择应该大于压力支持域.
- 台阶流 /
- 微分求积法 /
- Lagrange多项式 /
- Navier-Stokes方程 /
- 迎风机制
Abstract: An upwind local differential quadrature-Lagrange interpolation method to solve the Navier-Stokes equations for the flow field in the complex step flow was set up.The method to impose the essential boundary condition and the natural boundary condition was improved.The effect of support domain size,boundary condition treatment method and the upwind scheme on the accuracy of the calculation were analyzed.Calculation simulation shows that the high order Lagrange interpolation may cause numerical oscillation.The local differential quadrature method was recommended.The upwind support domain can improve the accuracy of the solution.Solution accuracy may be better in case of that the velocity support domain is lager than the pressure support domain.
- step flow /
- differential quadrature method /
- Lagrange polynomial /
- Navier-Stokes equations /
- upwind scheme

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参考文献(16)

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