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

SUN Dan; YANG Jian-gang; ZHAO Huan; LI Guang-chao

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

更新时间：2026-07-07

- Research on local DQ-Lagrange method for solving flow field in step flow
- Vol. 27, Issue 9, (2012)
- 作者机构：
  
  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
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2012
- 稿件说明：
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SUN Dan, YANG Jian-gang, ZHAO Huan, et al. Research on local DQ-Lagrange method for solving flow field in step flow[J]. 2012, 27(9).
DOI：

SUN Dan, YANG Jian-gang, ZHAO Huan, et al. Research on local DQ-Lagrange method for solving flow field in step flow[J]. 2012, 27(9). DOI：

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.

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.

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