A Review of Solution Stabilization Techniques for RANS CFD Solvers
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 appl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Aerospace |
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| Online Access: | https://www.mdpi.com/2226-4310/10/3/230 |
| _version_ | 1797614122242670592 |
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| author | Shenren Xu Jiazi Zhao Hangkong Wu Sen Zhang Jens-Dominik Müller Huang Huang Mohammad Rahmati Dingxi Wang |
| author_facet | Shenren Xu Jiazi Zhao Hangkong Wu Sen Zhang Jens-Dominik Müller Huang Huang Mohammad Rahmati Dingxi Wang |
| author_sort | Shenren Xu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T07:05:21Z |
| format | Article |
| id | doaj.art-32e8d8f2d2814eafbd44d00398765efd |
| institution | Directory Open Access Journal |
| issn | 2226-4310 |
| language | English |
| last_indexed | 2024-03-11T07:05:21Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj.art-32e8d8f2d2814eafbd44d00398765efd2023-11-17T08:58:10ZengMDPI AGAerospace2226-43102023-02-0110323010.3390/aerospace10030230A Review of Solution Stabilization Techniques for RANS CFD SolversShenren Xu0Jiazi Zhao1Hangkong Wu2Sen Zhang3Jens-Dominik Müller4Huang Huang5Mohammad Rahmati6Dingxi Wang7Northwestern Polytechnical University, Xi’an 710072, ChinaNorthwestern Polytechnical University, Xi’an 710072, ChinaNorthwestern Polytechnical University, Xi’an 710072, ChinaNorthwestern Polytechnical University, Xi’an 710072, ChinaQueen Mary University of London, London E1 4NS, UKNorthwestern Polytechnical University, Xi’an 710072, ChinaNorthumbria University, Newcastle upon Tyne NE1 8ST, UKNorthwestern Polytechnical University, Xi’an 710072, ChinaNonlinear, 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.https://www.mdpi.com/2226-4310/10/3/230Reynolds-averaged Navier–Stokesfixed-point iterationresidual convergencerecursive projection method (RPM)selective frequency damping (SFD)Newton’s method |
| spellingShingle | Shenren Xu Jiazi Zhao Hangkong Wu Sen Zhang Jens-Dominik Müller Huang Huang Mohammad Rahmati Dingxi Wang A Review of Solution Stabilization Techniques for RANS CFD Solvers Aerospace Reynolds-averaged Navier–Stokes fixed-point iteration residual convergence recursive projection method (RPM) selective frequency damping (SFD) Newton’s method |
| title | A Review of Solution Stabilization Techniques for RANS CFD Solvers |
| title_full | A Review of Solution Stabilization Techniques for RANS CFD Solvers |
| title_fullStr | A Review of Solution Stabilization Techniques for RANS CFD Solvers |
| title_full_unstemmed | A Review of Solution Stabilization Techniques for RANS CFD Solvers |
| title_short | A Review of Solution Stabilization Techniques for RANS CFD Solvers |
| title_sort | review of solution stabilization techniques for rans cfd solvers |
| topic | Reynolds-averaged Navier–Stokes fixed-point iteration residual convergence recursive projection method (RPM) selective frequency damping (SFD) Newton’s method |
| url | https://www.mdpi.com/2226-4310/10/3/230 |
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