Application of a Novel Weighted Essentially Non-Oscillatory Scheme for Reynolds-Averaged Stress Model and Reynolds-Averaged Stress Model/Large Eddy Simulation (RANS/LES) Coupled Simulations in Turbomachinery Flows
Source abstract
Abstract
In numerical simulations, achieving high accuracy without significantly increasing computational cost is often a challenge. To address this issue, this paper proposes an improved finite volume Weighted Essentially Non-Oscillatory (WENO) scheme for structured grids. By employing a single-point quadrature rule to perform flux integration on the control volume faces, this scheme is designed for use in NUAA-Turbo three-dimensional fluid solvers based on structured grids, utilizing RANS and RANS/LES coupling to simulate turbomachinery flows. Firstly, the new WENO scheme is validated against classical numerical test cases to evaluate its stability and reliability in handling discontinuities, double Mach reflection problems, and Rayleigh–Taylor (RT) instability. Compared to the original scheme, this improved finite-volume WENO scheme demonstrates better stability near discontinuities and more effectively resolves flow features at the same grid resolution. Next, for engineering applications related to turbomachinery, such as compressor and turbine characteristics, calculations using RANS are performed and the results obtained with WENO-ZQ3 and WENO-JS3 are compared. Finally, the new fifth-order WENO scheme is applied to RANS/LES coupling simulations of turbine wake and film cooling. The results indicate that the improved finite-volume WENO scheme provides better stability and accuracy in engineering applications. For instance, the average error in calculating compressor efficiency characteristics is reduced from 0.76% to 0.05%, the error in turbine vane pressure distribution compared to the experimental values is within 1%, and the error in film cooling efficiency centerline distribution compared to the experimental values is within 3%. Additionally, the qualitative results of turbine wake and film cooling show that even with a small number of grid points, more detailed flow physics can be captured, thereby reducing computational costs in aerodynamic applications.
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Research context
OpenAlex topics: Computational Fluid Dynamics and Aerodynamics · Turbomachinery Performance and Optimization · Fluid Dynamics and Turbulent Flows
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Funding
National Science and Technology
References (38)
Show source-provided references
1. Uniformly high order accurate essentially non-oscillatory schemes, iii10.1016/0021-9991(87)90031-3 ↗
2. A new method towards high-order weno schemes on structured and unstructured grids10.1016/j.compfluid.2020.104453 ↗
3. Finite difference hermite weno schemes for hyperbolic conservation laws10.1007/s10915-014-9905-2 ↗
4. An efficient class of WENO schemes with adaptive order for unstructured meshes10.1016/j.jcp.2019.109062 ↗
5. Weighted essentially non-oscillatory schemes10.1006/jcph.1994.1187 ↗
6. Efficient implementation of weighted ENO schemes10.1006/jcph.1996.0130 ↗
7. Weighted essentially non-oscillatory schemes on triangular meshes10.1006/jcph.1998.6165 ↗
8. A technique of treating negative weights in weno schemes10.1006/jcph.2001.6892 ↗
9. Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids10.1006/jcph.1998.5988 ↗
10. Zhu, J., and Qiu, J. (2020). Academic Lecture on High Order Accuracy Numerical Methods: A Simple and Efficient Finite Volume Weno Method, Nanjing University of Aeronautics and Astronautics.
11. A new fifth order finite difference weno scheme for solving hyperbolic conservation laws10.1016/j.jcp.2016.05.010 ↗
12. A new type of finite volume weno schemes for hyperbolic conservation laws10.1007/s10915-017-0486-8 ↗
13. Numerical study on the convergence to steady state solutions of a new class of high order weno schemes10.1016/j.jcp.2017.08.012 ↗
14. Sheng, C., Zhao, Q., Zhong, D., and Ge, N. (2019, January 17–21). A strategy to implement high-order weno schemes on unstructured grids. Proceedings of the AIAA Aviation 2019 Forum, Dallas, TX, USA.10.2514/6.2019-2955 ↗
15. Sheng, C., Zhao, Q., and Baugher, S. (2020, January 6–10). Numerical investigation of rotor aerodynamics using high-order unstructured grid schemes. Proceedings of the AIAA Scitech 2020 Forum, Orlando, FL, USA.10.2514/6.2020-0528 ↗
16. Improving predictions of transitional and separated flows using rans modeling10.1016/j.ast.2020.106067 ↗
17. An efficient class of weno schemes with adaptive order10.1016/j.jcp.2016.09.009 ↗
18. A new hybrid weno scheme for hyperbolic conservation laws10.1016/j.compfluid.2018.10.024 ↗
19. A new type of modified weno schemes for solving hyperbolic conservation laws10.1137/16M1087291 ↗
20. High order residual distribution for steady state problems for hyperbolic conservation laws10.1007/s10915-018-0878-4 ↗
21. A class of new high-order finite-volume TENO schemes for hyperbolic conservation laws with unstructured meshes10.1007/s10915-022-01925-5 ↗
22. URANOS: A GPU accelerated Navier-Stokes solver for compressible wall-bounded flows10.1016/j.cpc.2023.108717 ↗
23. Approximate riemann solvers, parameter vectors, and difference schemes10.1016/0021-9991(81)90128-5 ↗
24. A sequel to ausm, part ii: Ausm-up for all speeds10.1016/j.jcp.2005.09.020 ↗
25. Shu, C.-W. (2007). Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws, Springer.
26. Two-equation eddy-viscosity turbulence models for engineering applications10.2514/3.12149 ↗
27. A preconditioned method for rotating flows at arbitrary Mach number
28. Moore, R., and Reid, L. (1982). Performance of Single-Stage Axial-Flow Transonic Compressor with Rotor and Stator Aspect Ratios of 1.63 and 1.78, Respectively, and with Design Pressure Ratio of 1.82, NASA Technical Paper.
29. Reid, L., and Moore, R.D. (1978). Design and Overall Performance of four Highly Loaded, High Speed Inlet Stages for an Advanced High-Pressure-Ratio Core Compressor, Natbonal Aeronautics and Space Admtnislration.
30. Gardner, W.B. (1979). Energy Efficient Engine: High Pressure Turbine Uncooled Rig Technology Report.
31. Thulin, R.D., Howe, D.C., and Singer, I.D. (1982). Energy Efficient Engine High-Pressure Turbine Detailed Design Report.
32. Strategies for turbulence modelling and simulations10.1016/S0142-727X(00)00007-2 ↗
33. Egorov, Y., and Menter, F. (2008). Development and application of SST-SAS turbulence model in the DESIDER project. Advances in Hybrid RANS-LES Modelling, Proceedings of the 2007 Symposium of Hybrid RANS-LES Methods, Corfu, Greece, 17–18 June 2007, Springer.10.1007/978-3-540-77815-8_27 ↗
34. Numerical investigation of the wake vortex-related flow mechanisms in transonic turbines10.1155/2020/6650375 ↗
35. Lin, D., Yuan, X., and Su, X. (2017). Local entropy generation in compressible flow through a high-pressure turbine with delayed detached eddy simulation. Entropy, 19.10.3390/e19010029 ↗
36. Strelets, M. (2001, January 8–11). Detached eddy simulation of massively separated flows. Proceedings of the 39th AIAA Fluid Dynamics Conference and Exhibit, Reno, NV, USA.10.2514/6.2001-879 ↗
37. Liu, J., Xiao, Z., and Fu, S. (2011). Unsteady Flow Around Two Tandem Cylinders Using Advanced Turbulence Modeling Method. Computational Fluid Dynamics 2010, Proceedings of the Sixth International Conference on Computational Fluid Dynamics, ICCFD6, St. Petersburg, Russia, 12–16 July 2010, Springer.10.1007/978-3-642-17884-9_114 ↗
38. Aspects of vane film cooling with high turbulence: Part I—Heat transfer10.1115/1.2841788 ↗