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迎风格式在水滴欧拉方程数值求解中的应用

宁义君 顾洪宇 朱东宇 乔龙 李艳亮

航空科学技术2024,Vol.35Issue(1):105-114,10.
航空科学技术2024,Vol.35Issue(1):105-114,10.DOI:10.19452/j.issn1007-5453.2024.01.012

迎风格式在水滴欧拉方程数值求解中的应用

Application of Upwind Scheme in Numerical Solution of Euler Equation for Water Droplets

宁义君 1顾洪宇 1朱东宇 1乔龙 2李艳亮2

作者信息

  • 1. 中国航空工业空气动力研究院 辽宁省飞行器防除冰重点实验室, 辽宁 沈阳 110034
  • 2. 中国航空工业空气动力研究院 沈阳市计算流体力学重点实验室, 辽宁 沈阳 110034
  • 折叠

摘要

Abstract

Numerical simulation is an important means to study aircraft icing.In order to obtain water droplet impingement characteristics,Euler method is usually used to solve the control equation of droplet movement.Due to the discontinuity in the spatial distribution of liquid water content,the solution of the Euler equation of water droplet is easily divergent.If the first-order format is adopted,although the stability is improved,the calculation accuracy is difficult to meet the engineering design requirements.Some researchers increase convergence by adding diffusion terms,but artificially increase numerical dissipation.To solve this problem,the convective flux of the water droplet Euler equation is discretized by a first-order upwind scheme,and the calculation accuracy is guaranteed to reach the second-order by linear reconstruction and limiter functions.The effectiveness and accuracy of the method are verified by comparing the calculation results of NACA0012 NACA23012 and NLF0414 airfoils droplet impingement characteristics with FENSAP-ICE software.

关键词

水滴撞击特性/水滴运动轨迹/欧拉法/迎风格式/结冰软件

Key words

water droplet impingement characteristics/water droplet trajectory/Euler method/upwind scheme/icing software

分类

航空航天

引用本文复制引用

宁义君,顾洪宇,朱东宇,乔龙,李艳亮..迎风格式在水滴欧拉方程数值求解中的应用[J].航空科学技术,2024,35(1):105-114,10.

基金项目

中国-意大利绿色航空技术"一带一路"联合实验室建设与飞机低能耗防冰技术联合研究(2022YFE0203700)National Key R&D Program of China(2022YFE0203700) (2022YFE0203700)

航空科学技术

1007-5453

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