Nonlinear, time-linearized and adjoint Reynolds-averaged Navier-Stokes (RANS) computational fluid dynamics (CFD) solvers are widely used to assess and improve the aerodynamic and aeroelastic performance of aircrafts and turbomachines. While RANS CFD solver technologies are relatively mature for applications at design conditions where the flow is benign, their use in off-design conditions, featuring flow instabilities, such as separations and shock wave/boundary layer interactions, still faces many challenges, with tight residual convergence being a major difficulty. To cope with this, several solver stabilization techniques have been proposed. However, a systematic and comparative study of these techniques has not been reported, to some extent hindering the wide deployment of these methods for industrial applications. In this paper, we critically review the existing methods for solver convergence stabilization, with the main purpose of explaining the rationale behind the algorithms and providing a systematic view of the seemingly different methods. Specifically, mathematical formulations and implementation details of these methods, example applications, and the pros and cons of the methods are discussed in detail, along with suggestions for further improvements. This review is expected to give CFD method developers an overview of the various solution stabilization methods and application engineers an idea how to choose a suitable method for their respective applications.

Shenren Xu

Jiazi Zhao

Hangkong Wu

Sen Zhang

Jens-Dominik Müller

Huang Huang

Mohammad Rahmati

Dingxi Wang

Aerospace

Aerospace is a multidisciplinary science inviting submissions on, but not limited to,   the following subject areas:    aerodynamics  computational fluid dynamics  fluid-structure interaction  flight mechanics  plasmas  research instrumentation  test facilities  environment  material science  structural analysis  thermophysics and heat transfer  thermal-structure interaction  aeroacoustics  optics  electromagnetism and radar  propulsion  power generation and conversion  fuels and propellants  combustion  multidisciplinary design optimization  software engineering  data analysis  signal and image processing  artificial intelligence  aerospace vehicles' operation, control and maintenance  risk and reliability  human factors  human-automation interaction  airline operations and management  air traffic management  airport design  meteorology  space exploration  multi-physics interaction.

Aerospace is a multidisciplinary journal that invites submissions related to, but not limited to, the following subject areas: aerodynamics, computational fluid dynamics, fluid-structure interaction, flight mechanics, plasmas, research instrumentation, test facilities, environment, material science, structural analysis, thermophysics and heat transfer, thermal-structure interaction, aeroacoustics, optics, electromagnetism and radar, propulsion, power generation and conversion, fuels and propellants, combustion, multidisciplinary design optimization, software engineering, data analysis, signal and image processing, artificial intelligence, operation, control and maintenance of aerospace vehicles, risk and reliability, human factors, human-automation interaction, airline operations and management, air traffic management, airport design, meteorology, space exploration, and multi-physics interaction.

《Aerospace》是一个多学科的科学期刊，欢迎提交与以下主题相关的研究：气动学、计算流体动力学、流体-结构相互作用、飞行力学、等离子体、研究仪器、测试设施、环境、材料科学、结构分析、热物理与热传递、热-结构相互作用、气动声学、光学、电磁学与雷达、推进、发电与转换、燃料与推进剂、燃烧、多学科设计优化、软件工程、数据分析、信号与图像处理、人工智能、航空器的操作、控制与维护、风险与可靠性、人因工程、人机交互、航空公司运营与管理、空中交通管理、机场设计、气象、太空探索以及多物理场相互作用等。

Category	Quartile
工程技术	3
工程技术, 工程宇航	2

A Review of Solution Stabilization Techniques for RANS CFD Solvers

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Category	Quartile
ENGINEERING, AEROSPACE	2