A Review of Solution Stabilization Techniques for RANS CFD Solvers

Xu, Shenren, Zhao, Jiazi, Wu, Hangkong, Zhang, Sen, Huang, Huang, Mülle, Jens-Dominik, Rahmati, Mohammad and Wang, Dingxi (2023) A Review of Solution Stabilization Techniques for RANS CFD Solvers. Aerospace, 10 (3). p. 230. ISSN 2226-4310

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Official URL: https://doi.org/10.3390/aerospace10030230


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.

Item Type: Article
Additional Information: Funding information: The research was funded by the National Natural Science Foundation of China (Grant No. 52006177 and 51976172) and the National Science and Technology Major Project (Grant No. 2017-II-0009-0023).
Uncontrolled Keywords: Reynolds-averaged Navier–Stokes, fixed-point iteration, residual convergence, recursive projection method (RPM), selective frequency damping (SFD), Newton’s method
Subjects: H300 Mechanical Engineering
H400 Aerospace Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: John Coen
Date Deposited: 24 Feb 2023 15:52
Last Modified: 24 Mar 2023 11:15
URI: https://nrl.northumbria.ac.uk/id/eprint/51492

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