Review of development and challenges for physical modeling and numerical scheme of CFD in aeronautics and astronautics

YAN Chao; QU Feng; ZHAO Yatian; YU Jian; WU Conghai; ZHANG Shuhai

doi:10.7638/kqdlxxb-2020.0072

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Review of development and challenges for physical modeling and numerical scheme of CFD in aeronautics and astronautics

更新时间：2026-05-28

- Review of development and challenges for physical modeling and numerical scheme of CFD in aeronautics and astronautics
- Vol. 38, Issue 5, Pages: 829-857(2020)
- 作者机构：
  
  1. 北京航空航天大学航空科学与工程学院,北京,100191
  2. 西北工业大学航空学院,西安,710072
  3. 中国空气动力研究与发展中心空气动力学国家重点实验室,绵阳,621000
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2020.0072
  CLC： V211.3
- Published：2020
- 稿件说明：
移动端阅览
阎超, 屈峰, 赵雅甜, 于剑, 武从海, 张树海. 航空航天CFD物理模型和计算方法的述评与挑战[J]. 空气动力学学报, 2020, 38(5): 829-857.

YAN Chao, QU Feng, ZHAO Yatian, et al. Review of development and challenges for physical modeling and numerical scheme of CFD in aeronautics and astronautics[J]. 2020, 38(5): 829-857.
阎超, 屈峰, 赵雅甜, 于剑, 武从海, 张树海. 航空航天CFD物理模型和计算方法的述评与挑战[J]. 空气动力学学报, 2020, 38(5): 829-857. DOI： 10.7638/kqdlxxb-2020.0072.

YAN Chao, QU Feng, ZHAO Yatian, et al. Review of development and challenges for physical modeling and numerical scheme of CFD in aeronautics and astronautics[J]. 2020, 38(5): 829-857. DOI： 10.7638/kqdlxxb-2020.0072.

摘要

CFD（computational fluid dynamics）在航空航天中的应用发展迅速、成效斐然，成为飞行器研制和空气动力学研究的重要手段。但另一方面，CFD在物理模型和计算方法等核心理论上的进步却显得步履蹒跚。为此，本文聚焦CFD在航空航天中的应用，从湍流模型、转捩模型、通量求解方法以及高阶格式等CFD关键问题评述其发展现状及面临的挑战。在湍流模型中，重点论述了常用的线性涡黏性模型的现状和特性，尤其是其不足，对比分析了更复杂的雷诺应力模型。在转捩模型中，主要包括低雷诺数湍流模型、间歇因子转捩模型和层流动能转捩模型等，重点介绍了各类模型的发展历程、构造方式和适用范围。在通量求解方法中，重点关注迎风通量格式，论述其在解决激波异常、overheating、全速域模拟、多维流动等问题方面的发展现状。在高阶格式中，主要关注WENO和DG等格式，论述其在计算精度、时间求解、激波捕捉、计算效率等性能方面的现状和问题。最后针对上述方向给出了简要总结和未来发展的建议等。

Abstract

CFD has been playing a more and more important role in aeronautics and astronautics as a critical tool of modern aircraft design and aerodynamics research. On the contrary

the improvement of key theories such as physical modelling and numerical scheme is developing slowly. Therefore

the paper focus on applications of CFD in aeronautics and astronautics from the perspectives of turbulence models

transition models

flux schemes and high order schemes

for which state-of-art achievements and challenges are discussed. For turbulence models

the development status and characteristics of the common linear viscosity models are reviewed with emphasis on their drawbacks. More complicated Reynolds stress models are also analyzed. For transition models

the low Reynolds number models

intermittency transition models and laminar kinetic energy models

focusing on the development

construction method and applicable scope of different models. For flux schemes

the upwind flux is mainly considered

reviewing the status of these methods for solving the problems of shock anomaly

overheating

all-speed simulation and multi-dimensional flow. For high order schemes

the WENO and DG methods are focused on

with review and comments on accuracy

temporal integration

shock capturing and costs. Finally

a brief conclusion and suggestions on future development are presented.

关键词

Keywords

references

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