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Original Articles

Time-domain harmonic balance method for aerodynamic and aeroelastic simulations of turbomachinery flows

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Pages 68-78 | Received 27 Apr 2012, Accepted 09 Oct 2012, Published online: 03 Jan 2013

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Xiuquan Huang, Hangkong Wu & Dingxi Wang. (2018) Implicit solution of harmonic balance equation system using the LU-SGS method and one-step Jacobi/Gauss-Seidel iteration. International Journal of Computational Fluid Dynamics 32:4-5, pages 218-232.
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Lei Zhan, Juntao Xiong & Feng Liu. (2016) A space-time lower–upper symmetric Gauss–Seidel scheme for the time-spectral method. International Journal of Computational Fluid Dynamics 30:5, pages 337-355.
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Articles from other publishers (15)

Boqian WANG, Dingxi WANG, Mohammad RAHMATI & Xiuquan HUANG. (2022) Revisiting the space-time gradient method: A time-clocking perspective, high order difference time discretization and comparison with the harmonic balance method. Chinese Journal of Aeronautics 35:11, pages 45-58.
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Hang Li & Kivanc Ekici. (2021) Supplemental-frequency harmonic balance: A new approach for modeling aperiodic aerodynamic response. Journal of Computational Physics 436, pages 110278.
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Di Zhou, Zhiliang Lu, Tongqing Guo & Guoping Chen. (2020) On the performance of harmonic balance method for unsteady flow with oscillating shocks. Physics of Fluids 32:12.
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Zhen Zhang, Can Ma, Xinrong Su & Xin Yuan. (2020) Accuracy and Efficiency Assessment of Harmonic Balance Method for Unsteady Flow in Multi-Stage Turbomachinery. Journal of Thermal Science 29:6, pages 1569-1580.
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Haiou Sun, Meng Wang, Zhongyi Wang, Song Wang & Franco Magagnato. (2020) Numerical simulation of the non-uniform flow in a full-annulus multi-stage axial compressor with the harmonic balance method. Advances in Mechanical Engineering 12:3, pages 168781401989721.
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Frédéric Plante & Éric Laurendeau. (2019) Simulation of Transonic Buffet Using a Time-Spectral Method. AIAA Journal 57:3, pages 1275-1287.
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Dingxi Wang & Xiuquan Huang. (2017) A complete rotor–stator coupling method for frequency domain analysis of turbomachinery unsteady flow. Aerospace Science and Technology 70, pages 367-377.
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Ding Xi Wang & Xiuquan Huang. (2017) Solution Stabilization and Convergence Acceleration for the Harmonic Balance Equation System. Journal of Engineering for Gas Turbines and Power 139:9.
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Can Ma, Xinrong Su & Xin Yuan. (2017) An Efficient Unsteady Adjoint Optimization System for Multistage Turbomachinery. Journal of Turbomachinery 139:1.
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Christopher E. Porter, Paul D. Orkwis, John Wojno, Trevor Goerig & Trevor H. Wood. (2016) In-Duct Assessment of a Linearized Unsteady Navier-Stokes Scheme for Compressor Tone Noise. In-Duct Assessment of a Linearized Unsteady Navier-Stokes Scheme for Compressor Tone Noise.
S. Labit, J.-C. Chassaing, M. Philit, S. Aubert & P. Ferrand. (2016) Time-harmonic Navier–Stokes computations of forced shock-wave oscillations in a transonic nozzle. Computers & Fluids 127, pages 102-114.
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J. Yi & L. He. (2015) Space–Time Gradient Method for Unsteady Bladerow Interaction—Part I: Basic Methodology and Verification. Journal of Turbomachinery 137:11.
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L. Castillon, N. Gourdain & X. Ottavy. (2015) Multiple-Frequency Phase-Lagged Unsteady Simulations of Experimental Axial Compressor. Journal of Propulsion and Power 31:1, pages 444-455.
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Mehdi Ghoreyshi, Adam Jirásek & Russell M. Cummings. (2014) Reduced order unsteady aerodynamic modeling for stability and control analysis using computational fluid dynamics. Progress in Aerospace Sciences 71, pages 167-217.
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Thomas Guédeney, Adrien Gomar, François Gallard, Frédéric Sicot, Guillaume Dufour & Guillaume Puigt. (2013) Non-uniform time sampling for multiple-frequency harmonic balance computations. Journal of Computational Physics 236, pages 317-345.
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