LU-SGS pseudo-time iteration space marching method for solving supersonic chemical reaction flow

HE Xu-zhao; LE Jia-ling; SONG Wen-yan

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LU-SGS pseudo-time iteration space marching method for solving supersonic chemical reaction flow

更新时间：2026-07-07

- LU-SGS pseudo-time iteration space marching method for solving supersonic chemical reaction flow
- Vol. 25, Issue 5, (2010)
- 作者机构：
  
  1. 中国空气动力研究与发展中心计算空气动力研究所,绵阳,621000
  2. 西北工业大学动力与能源学院,西安,710072
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2010
- 稿件说明：
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HE Xu-zhao, LE Jia-ling, SONG Wen-yan. LU-SGS pseudo-time iteration space marching method for solving supersonic chemical reaction flow[J]. 2010, 25(5).
DOI：

HE Xu-zhao, LE Jia-ling, SONG Wen-yan. LU-SGS pseudo-time iteration space marching method for solving supersonic chemical reaction flow[J]. 2010, 25(5). DOI：

摘要

介绍了求解超声速多组分有限速率化学反应流动的伪时间迭代(lower-upper symmetric-Gauss-Seidel

LU-SGS)方法.空间推进求解多组分抛物化(parabolized Navier-Stokes

PNS)方程时

在一个推进面上采用修正的LU-SGS方法迭代至收敛

把得到的结果作为初值赋给下一个推进面.沿推进面依次迭代直至求解完整个流场.采用伪时间迭代LU-SGS方法求解化学反应PNS方程

计算结果的准确性和时间迭代求解完全Navier-Stokes(N-S)方程相当

求解效率提高一个数量级.

Abstract

A pseudo time iteration lower-upper symmetric-Gauss-Seidel (LU-SGS) method for solving supersonic multi-species chemical reaction flow was introduced. When solving parabolized Navier-Stokes (PNS) equations by space marching method

the modified LU-SGS method was used in the marching plane until reaching convergence. This plane's results were transferred to next plane and the entire flow field was solved plane by plane. Using pseudo time iteration LU-SGS method to solve the chemical reaction PNS equation

the result has the same level of accuracy compared with those obtained from Navier-Stokes (N-S) equations solved by time iteration method

and the computation efficiency is improved to an order or more.

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