1. 中国空气动力研究与发展中心 计算空气动力研究所,绵阳,621000
2. 空天飞行空气动力科学与技术全国重点实验室,绵阳,621000
3. 四川天府流体大数据研究中心,成都,610000
4. 北京航空航天大学 能源与动力工程学院,北京,100191
唐志共(1965—),男,研究员,研究方向:高速空气动力学研究与应用. E-mail:tangzhigong@126.com
李彬*,研究员,研究方向:叶轮机气动热力学. E-mail:leebin2008@hotmail.com
纸质出版:2025
移动端阅览
唐志共, 何旭, 查浩, 等. 叶轮机械流固热耦合仿真及自主可控软件研制[J]. 空气动力学学报, 2025, 43(8): 76−99.
TANG Zhigong, HE Xu, ZHA Hao, et al. Fluid-structure-thermal coupling simulation of turbomachinery and development of autonomous and controllable software[J]. 2025, 43(8): 76-99.
唐志共, 何旭, 查浩, 等. 叶轮机械流固热耦合仿真及自主可控软件研制[J]. 空气动力学学报, 2025, 43(8): 76−99. DOI: 10.7638/kqdlxxb-2025.0140
TANG Zhigong, HE Xu, ZHA Hao, et al. Fluid-structure-thermal coupling simulation of turbomachinery and development of autonomous and controllable software[J]. 2025, 43(8): 76-99. DOI: 10.7638/kqdlxxb-2025.0140.
叶轮机械作为动力能源领域的关键设备部件,其性能和效率直接关系到动力系统的服役表现。随着高性能计算机系统硬件水平的高速发展,以及流体、强度和传热领域数值仿真能力的不断提升,流固热耦合仿真技术对于叶轮机械的设计优化、性能预测以及故障预防起着越来越关键的作用。本文对叶轮机械流体、强度以及流固和流热仿真领域的主要数值方法和挑战问题进行了分析,以国产自主涡轮动力叶轮机械流固热耦合仿真软件(AeroEngine Numerical Simulation
AENS)为载体,介绍了同构/异构流固热耦合仿真软件架构,以及高效的耦合算法和鲁棒的网格技术。通过典型叶轮机械AENS流固/流热耦合仿真结果与试验数据的对比分析,表明AENS具备在高温、高压、高转速条件下的流固热耦合模拟能力,其应用前景广阔,为叶轮机械正向多学科耦合设计提供了重要支撑。
Turbomachinery serves as a pivotal equipment component in the power energy sector
with its performance and efficiency directly influencing the operational performance of power systems. Thanks to the substantial enhancement of hardware capabilities in high-performance computing systems and the continuous advancement of numerical simulation capabilities in fluid dynamics
strength
and heat transfer
fluid-structure-thermal coupling (FST) simulation technology has become increasingly crucial for the design optimization
performance prediction
and fault prevention of turbomachinery. This paper provides an analysis of the primary numerical methods and challenging issues in the fields of fluid dynamics
strength
and fluid-structure-thermal coupling simulation of turbomachinery. Leveraging the domestic self-developed AENS (AeroEngine Numerical Simulation) software for fluid-structure-thermal coupling simulation of turbo-power turbomachinery
it introduces the homogeneous/heterogeneous fluid-structure-thermal coupling simulation software architecture
alongside efficient coupling algorithms and robust grid technologies. By analyzing and comparing experimental data with typical turbomachinery AENS fluid-structure/fluid-thermal coupling simulation results
it is demonstrated that AENS possesses the capability to simulate fluid-structure-thermal coupling of aeroengine blades under high-temperature
high-pressure
and high-speed conditions. This shows the promising prospects of AENS in the field of fluid-structure-thermal coupling of turbomachinery
offering vital support for forward multiphysic coupling design of turbomachinery.
ZHANG S, TIAN S Y, ZHANG X M, et al. Research progress of skew and sweep aerodynamic technology for turbomachinery blades[J]. Journal of Propulsion Technology, 2021, 42(11): 15 (in Chinese). doi: 10.13675/j.cnki.tjjs.200925
LI Y M, CHEN G, XU D. Opportunity and challenge of CAE technology for high-end equipment manufacturing[J]. Computer Aided Engineering, 2012, 21(1): 1−7 (in Chinese). doi: 10.3969/j.issn.1006-0871.2012.01.001
ZHOU D. Numerical investigations of unsteady aerodynamics and aeroelasticity of turbomachines[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2019 (in Chinese). doi: 10.27239/d.cnki.gnhhu.2019.000002
ZHANG M M, LI S B, HOU A P, et al. A review of the research on blade flutter in turbomachinery[J]. Advances in Mechanics, 2011, 41(1): 13 (in Chinese). doi: 10.6052/1000-0992-2011-1-lxjzj2009-157
刘春宝. 动静干涉流动数值模拟技术与应用[M]. 北京: 化学工业出版社, 2022.
TANG Z H, SONG W W, OU M. An analysis of impeller strength and fatigue life of centrifugal pump based on fluid-structure interaction low specific speed[J]. China Rural Water and Hydropower, 2024(10): 127−133 (in Chinese). doi: 10.12396/znsd.240313
HE X, ZHANG L P, ZHAO Z, et al. Research of general large scale CFD software architecture and data structure[J]. Acta Aerodynamica Sinica, 2012, 30(5): 557−565 (in Chinese).
MATSSON J E. An introduction to ANSYS fluent 2022[M]. Mission, KS: Sdc Publications, 2022.
JASAK H. OpenFOAM: Open source CFD in research and industry[J]. International Journal of Naval Architecture and Ocean Engineering, 2009, 1(2): 89−94. doi: 10.2478/IJNAOE-2013-0011
ECONOMON T D, PALACIOS F, COPELAND S R, et al. SU2: An open-source suite for multiphysics simulation and design[J]. AIAA Journal, 2015, 54(3): 828−846. doi: 10.2514/1.J053813
LAWRENCE C. An overview of three approaches to multidisciplinary aeropropulsion simulations: NASA TM-107443[R]. 1997. https://ntrs.nasa.gov/api/citations/19970025648/downloads/19970025648.pdf
WANG Y X, ZHANG L L, LIU W, et al. Performance optimizations for scalable CFD applications on hybrid CPU+MIC heterogeneous computing system with millions of cores[J]. Computers Fluids, 2018, 173: 226−236. doi: 10.1016/j.compfluid.2018.03.005
CAO J G. Status, challenges and perspectives of aero-engine simulation technology[J]. Journal of Propulsion Technology, 2018, 39(5): 961−970 (in Chinese). doi: 10.13675/j.cnki.tjjs.2018.05.001
BRADSHAW P. Turbulence modeling with application to turbomachinery[J]. Progress in Aerospace Sciences, 1996, 32(6): 575−624. doi: 10.1016/S0376-0421(96)00003-6
DENTON J D. Some limitations of turbomachinery CFD: GT 2010-22540[R]. ASME Paper, 2010.
SPALART P. Reflections on RANS modelling[M]//Progress in Hybrid RANS-LES Modelling. Berlin, Heidelberg: Springer, 2010: 7-24. doi: 10.1007/978-3-642-14168-3_2
SPALART P, ALLMARAS S. A one-equation turbulence model for aerodynamic flows[C]//Proc of the 30th Aerospace Sciences Meeting and Exhibit, Reno, NV. Reston, Virginia: AIAA, 1992: 439. doi: 10.2514/6.1992-439
LAUNDER B E, SPALDING D B. Lectures in mathematical models of turbulence[M]. London, New York: Academic Press, 1972.
WILCOX D C. Turbulence modeling for CFD[M]. La Cãnada, CA: DCW Industries, Inc. , 1993.
DURBIN P A. Separated flow computations with the k-epsilon-v-squared model[J]. AIAA Journal, 1995, 33(4): 659−664. doi: 10.2514/3.12628
SPALART P R. Strategies for turbulence modelling and simulations[J]. International Journal of Heat and Fluid Flow, 2000, 21(3): 252−263. doi: 10.1016/S0142-727X(00)00007-2
SPALART P R, SHUR M. On the sensitization of turbulence models to rotation and curvature[J]. Aerospace Science and Technology, 1997, 1(5): 297−302. doi: 10.1016/S1270-9638(97)90051-1
SMIRNOV P E, MENTER F R. Sensitization of the SST turbulence model to rotation and curvature by applying the spalart–shur correction term[J]. Journal of Turbomachinery, 2009, 131(4): 041010. doi: 10.1115/1.3070573
MENTER F R, LANGTRY R B, LIKKI S R, et al. A correlation-based transition model using local variables: Part I: Model formulation[J]. Journal of Turbomachinery, 2006, 128(3): 413. doi: 10.1115/1.2184352
MENTER F R, SMIRNOV P E, LIU T, et al. A one-equation local correlation-based transition model[J]. Flow, Turbulence and Combustion, 2015, 95(4): 583−619. doi: 10.1007/s10494-015-9622-4
LIU Y W, LU L P, FANG L, et al. Modification of Spalart–Allmaras model with consideration of turbulence energy backscatter using velocity helicity[J]. Physics Letters A, 2011, 375(24): 2377−2381. doi: 10.1016/j.physleta.2011.05.023
LIU Y W, TANG Y M, SCILLITOE A D, et al. Modification of shear stress transport turbulence model using helicity for predicting corner separation flow in a linear compressor cascade[J]. Journal of Turbomachinery, 2020, 142(2): 021004. doi: 10.1115/1.4045658
LIU Y W, LUO P Z, TANG Y M. Improved prediction of turbomachinery flows using Reynolds stress model with γ [J ] . Aerospace Science and Technology, 2024, 144: 108812. doi: 10.1016/j.ast.2023.108812
KIM S, PULLAN G, HALL C A, et al. Stall inception in low-pressure ratio fans[J]. Journal of Turbomachinery, 2019, 141(7): 071005. doi: 10.1115/1.4042731
LEE K B, WILSON M, VAHDATI M. Validation of a numerical model for predicting stalled flows in a low-speed fan. Part I: Modification of spalart–allmaras turbulence model[J]. Journal of Turbomachinery, 2018, 140(5): 051008. doi: 10.1115/1.4039051
LOPEZ D I, GHISU T, KIPOUROS T, et al. Extending highly loaded axial fan operability range through novel blade design[J]. Journal of Turbomachinery, 2022, 144(12). doi: 10.1115/1.4055350
WANG Z W, FAN Z L, LI B, et al. Key technologies for massive unsteady simulation of whole compressor[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(18): 129865 (in Chinese). doi: 10.7527/S1000-6893.2024.29865
RAI M. Navier-Stokes simulations of rotor-stator interaction using patched and overlaid grids[C]// 7th Computational Physics Conference, Cincinnati, OH. Reston, Virginia: AIAA, 1985: 1519. doi: 10.2514/6.1985-1519
ERDOS J I, ALZNER E. Computation of unsteady transonic flows through rotating and stationary caseades: NASA CR-2900 [R]. 1977. https://ntrs.nasa.gov/citations/19780012139
GILES M B. UNSFLO: A numerical method for unsteady inviscid flow in turbomachinery[M]. Cambridge, Mass: Gas Turbine Laboratory, Massachusetts Institute of Technology, 1988. http://hdl.handle.net/1721.1/104734
HE L. Modelling issues for computation of unsteady turbomachinery flows[R]. Unsteady Flows in Turbomachines, von Karman Inst. Lecture Series 1996-05, Rhode Saint Genese, Belgium, 1996
HALL K C, THOMAS J P, CLARK W S. Computation of unsteady nonlinear flows in cascades using a harmonic balance technique[J]. AIAA Journal, 2002, 40(5): 879−886. doi: 10.2514/2.1754
DENTON J D. The calculation of three-dimensional viscous flow through multistage turbomachines[J]. Journal of Turbomachinery, 1992, 114(1): 18−26. doi: 10.1115/1.2927983
ADAMCZYK J J. Model equation for simulating flows in multistage turbomachinery: NASA TM-86869[R]. 1984.
ADAMCZYK J J. Aerodynamic analysis of multistage turbomachinery flows in support of aerodynamic design[J]. Journal of Turbomachinery, 2000, 122(2): 189−217. doi: 10.1115/1.555439
RHIE D M, GLEIXNER A J, FISCHBERG C J, et al. Development and application of a multistage Navier-Stokes Solver. Part 1: Multistage modeling using bodyforces and deterministric stresses[R], ASME Paper, 95-GT-342
LIU Y W, LIU B J, LU L P. Study of modeling unsteady blade row interaction in a transonic compressor stage. Part 1: Code development and deterministic correlation analysis[J]. Acta Mechanica Sinica, 2012, 28(2): 281−290. doi: 10.1007/s10409-012-0049-z
LIU Y W, LIU B J, LU L P. Study of modeling unsteady blade row interaction in a transonic compressor stage. Part 2: Influence of deterministic correlations on time-averaged flow prediction[J]. Acta Mechanica Sinica, 2012, 28(2): 291−299. doi: 10.1007/s10409-012-0061-3
LIU Y W, TANG Y M, LIU B J, et al. An exponential decay model for the deterministic correlations in axial compressors[J]. Journal of Turbomachinery, 2019, 141(2): 021005. doi: 10.1115/1.4041380
LIU Y W, WEI X D, TANG Y M. Investigation of unsteady rotor-stator interaction and deterministic correlation analysis in a transonic compressor stage[J]. Journal of Turbomachinery, 2023, 145(7): 071004. doi: 10.1115/1.4056716
YONG X S, LIU Y W, TANG Y M. Development of unsteady reduced-order methods for multi-row turbomachinery flow simulation based on the computational fluids laboratory three-dimensional solver[J]. Physics of Fluids, 2024, 36(4): 045135. doi: 10.1063/5.0197247
YONG X S, LIU Y W, TANG Y M. Graphic processing unit accelerated time-domain harmonic balance method for multi-row turbomachinery flow simulation[J]. Physics of Fluids, 2024, 36(9): 095179. doi: 10.1063/5.0228157
MAHALLATI A, MCAULIFFE B R, SJOLANDER S A, et al. Aerodynamics of a low-pressure turbine airfoil at low-Reynolds numbers. Part 1: Steady flow measurements[C]//Turbo Expo 2007, Parts A and B, Montreal, Canada. ASMEDC, 2007: 1011-1023. doi: 10.1115/gt2007-27347
DONG P, HUANG H Y, FENG G T. Conjugate heat transfer analysis of a high pressure turbine vane with radial internal cooling passages[J]. Journal of Aerospace Power, 2008, 23(2): 201−207 (in Chinese). doi: 10.13224/j.cnki.jasp.2008.02.009
ZENG J, QING X J. Conjugate flow and heat transfer investigation of a turbine cascade[J]. Journal of Aerospace Power, 2009, 24(6): 1204−1210 (in Chinese). doi: 10.13224/j.cnki.jasp.2009.06.003
LI T, BIAN X, FENG Y, et al. Conjugate heat transfer simulation of air-cooled turbine based on gama-theta transition model[J]. Journal of Propulsion Technology, 2014, 35(7): 932−940 (in Chinese). doi: 10.13675/j.cnki.tjjs.2014.07.009
CORRAL R, WANG Z. An efficient steady state coupled fluid-solid heat transfer method for turbomachinery applications[J]. International Journal of Thermal Sciences, 2018, 130: 59−69. doi: 10.1016/j.ijthermalsci.2018.04.003
WANG P, BAI H Q, SHEN Y. Five-axis NC machining simulation and optimization for integral impeller[J]. Tool Engineering, 2017, 51(7): 67−69 (in Chinese). doi: 10.16567/j.cnki.1000-7008.2017.07.018
BAZILEVS Y, KOROBENKO A, DENG X, et al. Fluid–structure interaction modeling for fatigue-damage prediction in full-scale wind-turbine blades[J]. Journal of Applied Mechanics, 2016, 83(6): 061010. doi: 10.1115/1.4033080
BELYTSCHKO T, KRONGAUZ Y, ORGAN D, et al. Meshless methods: An overview and recent developments[J]. Computer Methods in Applied Mechanics and Engineering, 1996, 139(1-4): 3−47. doi: 10.1016/S0045-7825(96)01078-X
LI S F, LIU W K. Meshfree and particle methods and their applications[J]. Applied Mechanics Reviews, 2002, 55(1): 1−34. doi: 10.1115/1.1431547
LIU M B, LIU G R. Smoothed particle hydrodynamics (SPH): An overview and recent developments[J]. Archives of Computational Methods in Engineering, 2010, 17(1): 25−76. doi: 10.1007/s11831-010-9040-7
LIU G R, GU Y T. A point interpolation method for two-dimensional solids[J]. International Journal for Numerical Methods in Engineering, 2001, 50(4): 937−951. doi: 10.1002/1097-0207(20010210)50:4937::AID-NME623.0.CO;2-X
ZHANG X, LIU X, LU M. A meshless method based on the local partition of unity for elasticity problems[J]. Computational Mechanics, 2010, 45(5): 465−474.
MA H, YU M Y, GAO A, et al. Dynamic modeling method of bolted joint interfaces based on nonlinear transversely isotropic virtual material[J]. Journal of Northeastern University (Natural Science), 2021, 42(8): 1111−1119. doi: 10.12068/j.issn.1005-3026.2021.08.008
JIA S, LI G, LI H N. Comparative analysis of the iterative algorithms for nonlinear method based on the Woodbury formula[J]. Engineering Mechanics, 2019, 36(8): 16−29, 58 (in Chinese). doi: 10.6052/j.issn.1000-4750.2018.06.0320
LIN T, OWENS D H, HÄTÖNEN J. Newton method based iterative learning control for discrete non-linear systems[J]. International Journal of Control, 2006, 79(10): 1263−1276. doi: 10.1080/00207170600821187
BYRD R H, LU P H, NOCEDAL J, et al. A limited memory algorithm for bound constrained optimization[J]. SIAM Journal on Scientific Computing, 1995, 16(5): 1190−1208. doi: 10.1137/0916069
NAKSHATRALA P B, TORTORELLI D A, NAKSHATRALA K B. Nonlinear structural design using multiscale topology optimization. Part I: Static formulation[J]. Computer Methods in Applied Mechanics and Engineering, 2013, 261-262: 167-176. doi: 10.1016/j.cma.2012.12.018
ELMASRY A, AZOTI W, EL-SAFTY S A, et al. A comparative review of multiscale models for effective properties of nano- and micro-composites[J]. Progress in Materials Science, 2023, 132: 101022. doi: 10.1016/j.pmatsci.2022.101022
XING J T, ZHOU S, CUI E J. A survey on the fluid solid interaction mechanics[J]. Advances in Mechanics, 1997, 27(1): 19−38 (in Chinese). doi: 10.6052/1000-0992-1997-1-j1998-223
ZUO Y Y, ZHANG B C. Investigation of combustion liner wall cooling in gas turbine combustor[J]. Aeroengine, 2002, 28(4): 38−43 (in Chinese). doi: 10.3969/j.issn.1672-3147.2002.04.009
DU Z X, HAN S H, LIU Y Q, et al. Fluid-solid interaction strength and vibration of compressor blade[J]. Journal of Vibration, Measurement Diagnosis, 2013, 33(5): 789−793, 910 (in Chinese). doi: 10.16450/j.cnki.issn.1004-6801.2013.05.025
SHI J Z, QIN H Q, YIN H, et al. Structural dynamics analysis on gas turbine compressor blade based on fluid-solid coupling[J]. Guangdong Electric Power, 2016, 29(5): 1−5,19 (in Chinese). doi: 10.3969/j.issn.1007-290X.2016.05.001
SHI J Z. Aeroelastic stability study of compressor blade based on fluid-solid coupling[D]. Beijing: North China Electric Power University, 2017 (in Chinese).
ZHANG X H. Fluid-structure interaction static strength analysis of a certain compressor stage blade[D]. Dalian: Dalian Maritime University, 2011 (in Chinese).
ZHANG R Q. Blade aeroelasticity analysis based on fluid solid coupling[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2009 (in Chinese).
JIN Y. Numerical study of several fluid-induced vibration problems in turbomachineries by fluid-structure coupling approach[D]. Beijing: Tsinghua University, 2002 (in Chinese).
WANG S B, LI S B, SONG X Z. Static aeroelastic analysis of a transonic compressor blade based on fluid-structure interaction method[J]. Mechanics in Engineering, 2016, 38(1): 38−42 (in Chinese). doi: 10.6052/1000-0879-15-170
BLOM F J. A monolithical fluid-structure interaction algorithm applied to the piston problem[J]. Computer Methods in Applied Mechanics and Engineering, 1998, 167(3-4): 369−391. doi: 10.1016/S0045-7825(98)00151-0
CETIN A, SAHIN M. A monolithic fluid-structure interaction framework applied to red blood cells[J]. International Journal for Numerical Methods in Biomedical Engineering, 2019, 35(2): e3171. doi: 10.1002/cnm.3171
HÜBNER B, WALHORN E, DINKLER D. A monolithic approach to fluid–structure interaction using space–time finite elements[J]. Computer Methods in Applied Mechanics and Engineering, 2004, 193(23-26): 2087−2104. doi: 10.1016/j.cma.2004.01.024
RYZHAKOV P B, ROSSI R, IDELSOHN S R, et al. A monolithic Lagrangian approach for fluid–structure interaction problems[J]. Computational Mechanics, 2010, 46(6): 883−899. doi: 10.1007/s00466-010-0522-0
YIN L, JIANG J C, ZHANG L X. Monolithic approach to thermal fluid-structure interaction with nonconforming interfaces[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(2): 211−222. doi: 10.1007/s10483-012-1544-x
LANGER U, YANG H D. Numerical simulation of fluid–structure interaction problems with hyperelastic models: A monolithic approach[J]. Mathematics and Computers in Simulation, 2018, 145: 186−208. doi: 10.1016/j.matcom.2016.07.008
WICK T, WOLLNER W. Optimization with nonstationary, nonlinear monolithic fluid-structure interaction[J]. International Journal for Numerical Methods in Engineering, 2021, 122(19): 5430−5449. doi: 10.1002/nme.6372
DEGROOTE J, BATHE K J, VIERENDEELS J. Performance of a new partitioned procedure versus a monolithic procedure in fluid–structure interaction[J]. Computers Structures, 2009, 87(11-12): 793−801. doi: 10.1016/j.compstruc.2008.11.013
HEIL M, HAZEL A L, BOYLE J. Solvers for large-displacement fluid–structure interaction problems: Segregated versus monolithic approaches[J]. Computational Mechanics, 2008, 43(1): 91−101. doi: 10.1007/s00466-008-0270-6
YU M L, NIE X Y, YANG G W, et al. Fixed-point fluid structure interaction analysis based on geometrically exact approach[J]. Scientific Reports, 2020, 10: 10322. doi: 10.1038/s41598-020-66854-5
TIBA A, DAIRAY T, DE VUYST F, et al. Machine-learning enhanced predictors for accelerated convergence of partitioned fluid-structure interaction simulations[J]. Computer Physics Communications, 2025, 310: 109522. doi: 10.1016/j.cpc.2025.109522
GARG H, KUNDU A, SOTI A K, et al. Immersed boundary method based fluid–structure–thermal interaction solver with conjugate heat transfer[J]. Sādhanā, 2023, 48(4): 200. doi: 10.1007/s12046-023-02241-w
ZHU Y Z, ZHAO S J, ZHOU Y Y, et al. An unstructured adaptive mesh refinement for steady flows based on physics-informed neural networks[J]. Journal of Computational Physics, 2025, 540: 114283. doi: 10.1016/j.jcp.2025.114283
DOHERTY M, NAMGOONG H. Impact of turbofan intake distortion on fan noise propagation and generation[C]//Proc of the 22nd AIAA/CEAS Aeroacoustics Conference, Lyon, France. Reston, Virginia: AIAA, 2016: 2841. doi: 10.2514/6.2016-2841
MILIDONIS K F, HYNES T, DOHERTY M, et al. The effect of steady intake distortion on fan mpt noise under sideline flight conditions[C]//Proc of the 2018 AIAA/CEAS Aeroacoustics Conference, Atlanta, Georgia. Reston, Virginia: AIAA, 2018: 4188. doi: 10.2514/6.2018-4188
PERELMAN T L. On conjugated problems of heat transfer[J]. International Journal of Heat and Mass Transfer, 1961, 3(4): 293−303. doi: 10.1016/0017-9310(61)90044-8
GILES M B. Stability analysis of numerical interface conditions in fluid–structure thermal analysis[J]. International Journal for Numerical Methods in Fluids, 1997, 25(4): 421−436. doi: 10.1002/(SICI)1097-0363(19970830)25:4421::AID-FLD5573.0.CO;2-J
HENSHAW W D, CHAND K K. A composite grid solver for conjugate heat transfer in fluid–structure systems[J]. Journal of Computational Physics, 2009, 228(10): 3708−3741. doi: 10.1016/j.jcp.2009.02.007
PIPERNO S, FARHAT C. Partitioned procedures for the transient solution of coupled aeroelastic problems–Part II: Energy transfer analysis and three-dimensional applications[J]. Computer Methods in Applied Mechanics and Engineering, 2001, 190(24-25): 3147−3170. doi: 10.1016/S0045-7825(00)00386-8
PIPERNO S, FARHAT C, LARROUTUROU B. Partitioned procedures for the transient solution of coupled aroelastic problems Part I: Model problem, theory and two-dimensional application[J]. Computer Methods in Applied Mechanics and Engineering, 1995, 124(1-2): 79−112. doi: 10.1016/0045-7825(95)92707-9
PIPERNO S. Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations[J]. International Journal for Numerical Methods in Fluids, 1997, 25(10): 1207−1226. doi: 10.1002/(SICI)1097-0363(19971130)25:101207::AID-FLD6163.0.CO;2-R
ALIZADEH O, MOHAMMADI S. The variable node multiscale approach: Coupling the atomistic and continuum scales[J]. Computational Materials Science, 2019, 160: 256−274. doi: 10.1016/j.commatsci.2019.01.003
WANG Y Z, QIN G L, TAMMA K K, et al. Numerical investigations on model order reduction to SEM based on POD-DEIM to linear/nonlinear heat transfer problems[J]. Numerical Heat Transfer, Part B: Fundamentals, 2021, 80(3-4): 39−52. doi: 10.1080/10407790.2021.1939609
GABRIEL E, FAGG G E, BOSILCA G, et al. Open MPI: Goals, concept, and design of a next generation MPI implementation[C]//Recent Advances in Parallel Virtual Machine and Message Passing Interface. Berlin, Heidelberg: Springer, 2004: 97-104. doi: 10.1007/978-3-540-30218-6_19
PADUA D, GHOTING A, GUNNELS J A, et al. METIS and ParMETIS[M]//Encyclopedia of Parallel Computing. Boston, MA: Springer US, 2011: 1117-1124. doi: 10.1007/978-0-387-09766-4_500
ANGERSON E, SORENSEN D, BAI Z, et al. LAPACK: A portable linear algebra library for high-performance computers[C]//Proceedings Supercomputing '90, New York, NY, USA. IEEE, 1990: 2-11. doi: 10.1109/superc.1990.129995
ÁLVAREZ-FARRÉ X, GOROBETS A, TRIAS F X. A hierarchical parallel implementation for heterogeneous computing. Application to algebra-based CFD simulations on hybrid supercomputers[J]. Computers Fluids, 2021, 214: 104768. doi: 10.1016/j.compfluid.2020.104768
KHAN A H, AL-MEHDHAR H. Memory pooling for enhanced data loading in GPU-accelerated environments[J]. IEEE Access, 2025, 13: 87175−87182. doi: 10.1109/ACCESS.2025.3570500
XU C F, DENG X G, ZHANG L L, et al. Collaborating CPU and GPU for large-scale high-order CFD simulations with complex grids on the TianHe-1A supercomputer[J]. Journal of Computational Physics, 2014, 278: 275−297. doi: 10.1016/j.jcp.2014.08.024
FENG Z, LI P. Multigrid on GPU: Tackling power grid analysis on parallel SIMT platforms[C]//Proc of the 2008 IEEE/ACM International Conference on Computer-Aided Design, San Jose, CA, USA. IEEE, 2008: 647-654. doi: 10.1109/ICCAD.2008.4681645
VÎLCEANU V, CHAWDHURY S, MORGENTHAL G. A novel partitioned numerical coupling between vortex particle method–structure–smoothed particle hydrodynamics models for wind-induced vibration analysis[J]. Results in Engineering, 2024, 23: 102435. doi: 10.1016/j.rineng.2024.102435
MÜLLER E. Flux-vector splitting for the Euler equations for real gases[J]. Journal of Computational Physics, 1988, 79(1): 227−230. doi: 10.1016/0021-9991(88)90013-7
ROE P L. Approximate Riemann solvers, parameter vectors, and difference schemes[J]. Journal of Computational Physics, 1997, 135(2): 250−258. doi: 10.1006/jcph.1997.5705
BURG C. Higher order variable extrapolation for unstructured finite volume RANS flow solvers[C]// 17th AIAA Computational Fluid Dynamics Conference, Toronto, Ontario, Canada. Reston, Virginia: AIAA, 2005: 4999. doi: 10.2514/6.2005-4999
VENKATAKRISHNAN V. Convergence to steady state solutions of the Euler equations on unstructured grids with limiters[J]. Journal of Computational Physics, 1995, 118(1): 120−130. doi: 10.1006/jcph.1995.1084
THOMAS J L, DISKIN B, NISHIKAWA H. A critical study of agglomerated multigrid methods for diffusion on highly-stretched grids[J]. Computers Fluids, 2011, 41(1): 82−93. doi: 10.1016/j.compfluid.2010.09.023
JAMESON A, SCHMIDT W, TURKEL E. Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes[C]//Proc of the 14th Fluid and Plasma Dynamics Conference, Palo Alto, CA. Reston, Virginia: AIAA, 1981: 1259. doi: 10.2514/6.1981-1259
YOON S, JAMESON A. Lower-upper symmetric-Gauss-seidel method for the Euler and navier-stokes equations[J]. AIAA Journal, 1988, 26(9): 1025−1026. doi: 10.2514/3.10007
WANG G Y, LIU Y W, TANG Y M, et al. Modification of DDES-SA model using helicity for predicting tip leakage flow[J]. Journal of Engineering Thermophysics, 2024, 45(8): 2290−2298 (in Chinese).
ZHUANG Z. Nonlinear finite element analysis and examples of ABAQUS[M]. Beijing: Science Press, 2005 (in Chinese).
KANG G Z, KAN Q H, ZHANG J. Principle, structure and application of large-scale finite element program[M]. 2nd ed. Chengdu: Southwest Jiaotong University Press, 2008 (in Chinese).
WANG X C, SHAO M. Basic principle and numerical method of finite element method[M]. 2nd ed. Beijing: Tsinghua University Press, 1997 (in Chinese).
LESOINNE M, FARHAT C. Stability analysis of dynamic meshes for transient aeroelastic computations[C]// 11th Computational Fluid Dynamics Conference, Orlando, FL. Reston, Virginia: AIAA, 1993: 3325. doi: 10.2514/6.1993-3325
BENSON D J, HALLQUIST J O. A single surface contact algorithm for the post-buckling analysis of shell structures[J]. Computer Methods in Applied Mechanics and Engineering, 1990, 78(2): 141−163. doi: 10.1016/0045-7825(90)90098-7
BELYTSCHKO T, LIN J I. A three-dimensional impact-penetration algorithm with erosion[J]. Computers Structures, 1987, 25(1): 95−104. doi: 10.1016/0045-7949(87)90220-3
HEINSTEIN M W, MELLO F J, ATTAWAY S W, et al. Contact: Impact modeling in explicit transient dynamics[J]. Computer Methods in Applied Mechanics and Engineering, 2000, 187(3-4): 621−640. doi: 10.1016/S0045-7825(99)00342-4
JAIMAN R K, JIAO X, GEUBELLE P H, et al. Conservative load transfer along curved fluid–solid interface with non-matching meshes[J]. Journal of Computational Physics, 2006, 218(1): 372−397. doi: 10.1016/j.jcp.2006.02.016
FARHAT C, LESOINNE M, LE TALLEC P. Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity[J]. Computer Methods in Applied Mechanics and Engineering, 1998, 157(1-2): 95−114. doi: 10.1016/S0045-7825(97)00216-8
DE BOER A, VAN ZUIJLEN A H, BIJL H. Review of coupling methods for non-matching meshes[J]. Computer Methods in Applied Mechanics and Engineering, 2007, 196(8): 1515−1525. doi: 10.1016/j.cma.2006.03.017
BECKERT A, WENDLAND H. Multivariate interpolation for fluid-structure-interaction problems using radial basis functions[J]. Aerospace Science and Technology, 2001, 5(2): 125−134. doi: 10.1016/S1270-9638(00)01087-7
WENDLAND H. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree[J]. Advances in Computational Mathematics, 1995, 4(1): 389−396. doi: 10.1007/BF02123482
ZHOU X, LI S X, SUN S L, et al. Advances in the research on unstructured mesh deformation[J]. Advances in Mechanics, 2011, 41(5): 547−561 (in Chinese). doi: 10.6052/1000-0992-2011-5-lxjzJ2011-050
ZHAO Y, TAI J, AHMED F. Simulation of micro flows with moving boundaries using high-order upwind FV method on unstructured grids[J]. Computational Mechanics, 2002, 28(1): 66−75. doi: 10.1007/s00466-001-0271-1
GAO Y S, WU Y Z, XIA J. A discrete adjoint-based approach for airfoil optimization on unstructured meshes[J]. Acta Aerodynamica Sinica, 2013, 31(2): 244−249,265 (in Chinese). doi: 10.7638/kqdlxxb-2011.0306
TANG J, DENG Y Q, MA M S, et al. Parameterization and grid deformation techniques for flying-wing aerodynamic optimization[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(5): 1480−1490 (in Chinese). doi: 10.7527/S1000-6893.2014.0331
CHEN K. Numerical simulation of air cooling turbine with conjugate heat transfer[D]. Harbin: Harbin Institute of Technology, 2006 (in Chinese).
DONG P. Numerical simulation study on gas-heat coupling of aero-engine air-cooled turbine blades[D]. Harbin: Harbin Institute of Technology, 2009 (in Chinese).
GUO Z Y. Research on methodology of thermal-flow-elastic coupling numerical simulation in air-cooled turbine with the finite difference[D]. Harbin: Harbin Institute of Technology, 2009 (in Chinese).
WANG Q. Research on numerical methods for improving accuracy of coupled heat transfer simulations of air cooled turbines [D]. Harbin: Harbin Institute of Technology, 2009 (in Chinese).
ZHAO Y Z. Numerical study on ablation of turbine cascade of aviation gas turbine[D]. Mianyang: China Academy of Engineering Physics, 2016 (in Chinese).
ZHAO X L, SUN Z X, TANG L S, et al. Coupled flow-thermal-structural analysis of hypersonic aerodynamically heated cylindrical leading edge[J]. Engineering Applications of Computational Fluid Mechanics, 2011, 5(2): 170−179. doi: 10.1080/19942060.2011.11015361
JOHN B, SENTHILKUMAR P, SADASIVAN S. Applied and theoretical aspects of conjugate heat transfer analysis: A review[J]. Archives of Computational Methods in Engineering, 2019, 26(2): 475−489. doi: 10.1007/s11831-018-9252-9
MURTY M C, MANNA P, CHAKRABORTY D. Conjugate heat transfer analysis in high speed flows[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2013, 227(10): 1672−1681. doi: 10.1177/0954410012464920
WANG P, LI Y, ZOU Z P, et al. Conjugate heat transfer investigation of cooled turbine using the preconditioned density-based algorithm[J]. Propulsion and Power Research, 2013, 2(1): 56−69. doi: 10.1016/j.jppr.2012.10.004
ZHANG S T, CHEN F, LIU H. Time-adaptive, loosely coupled strategy for conjugate heat transfer problems in hypersonic flows[J]. Journal of Thermophysics and Heat Transfer, 2014, 28(4): 635−646. doi: 10.2514/1.T4278
FARRELL P E, PIGGOTT M D, PAIN C C, et al. Conservative interpolation between unstructured meshes via supermesh construction[J ] . Computer Methods in Applied Mechanics and Engineering, 2009, 198(33-36): 2632−2642. doi: 10.1016/j.cma.2009.03.004
FARRELL P E, MADDISON J R. Conservative interpolation between volume meshes by local Galerkin projection[J]. Computer Methods in Applied Mechanics and Engineering, 2011, 200(1-4): 89−100. doi: 10.1016/j.cma.2010.07.015
REID L, MOORE R D. Performance of a single-stage axial-flow transonic compressor with rotor and stator aspect ratios of 1.19 and 1.26, respectively, and with design pressure ratio of 1.82: NASA TP-1338 [R]. 1978.
LIU T Q, ZHAO Y Z, WANG Y M, et al. Design and experimental investigation of a highly loaded single-stage axial compressor with loading coefficient of 0.5[J]. Aeroengine, 2022, 48(5): 1−39 (in Chinese). doi: 10.13477/j.cnki.aeroengine.2022.05.001
HYLTON L D, MIHELC M S, TURNER E R, et al. Analytical and experimental evaluation of the heat transfer distribution over the surfaces of turbine vanes[C]// AAS/Division of Dynamical Astronomy Meeting, 1983.
0
浏览量
0
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621