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A Scalable Numerical Method for Simulating Flows Around High-Speed Train Under Crosswind Conditions

Published online by Cambridge University Press:  03 June 2015

Zhengzheng Yan ,
Rongliang Chen ,
Yubo Zhao  and
Xiao-Chuan Cai
Zhengzheng Yan*
Affiliation:
Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, P.R. China
Rongliang Chen*
Affiliation:
Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, P.R. China
Yubo Zhao*
Affiliation:
Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, P.R. China
Xiao-Chuan Cai*
Affiliation:
Department of Computer Science, University of Colorado Boulder, Boulder, CO 80309, USA
*
Email:zz.yan@siat.ac.cn
Email:rl.chen@siat.ac.cn
Email:yb.zhao@siat.ac.cn
Corresponding author.Email:cai@cs.colorado.edu
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Abstract

This paper presents a parallel Newton-Krylov-Schwarz method for the numerical simulation of unsteady flows at high Reynolds number around a high-speed train under crosswind. With a realistic train geometry, a realistic Reynolds number, and a realistic wind speed, this is a very challenging computational problem. Because of the limited parallel scalability, commercial CFD software is not suitable for supercomputers with a large number of processors. We develop a Newton-Krylov-Schwarz based fully implicit method, and the corresponding parallel software, for the 3D unsteady incompressible Navier-Stokes equations discretized with a stabilized finite element method on very fine unstructured meshes. We test the algorithm and software for flows passing a train modeled after China’s high-speed train CRH380B, and we also compare our results with results obtained from commercial CFD software. Our algorithm shows very good parallel scalability on a supercomputer with over one thousand processors.

Keywords

76D0576F6565M5565Y05Three-dimensional unsteady incompressible flowshigh-speed traincrosswindfull Navier-Stokes equationsNewton-Krylov-Schwarz algorithmparallel computing
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 4 , April 2014 , pp. 944 - 958
Copyright
Copyright © Global Science Press Limited 2014

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References

[1]Ahmed, S. R., Ramm, G., and Faltin, G., Some salient features of the time-averaged ground vehicle wake, SAE paper, 840300, 1984.CrossRefGoogle Scholar
[2]Balay, S., Buschelman, K., Gropp, W. D., Kaushik, D., Knepley, M., Mc, L. C.Innes, Smith, B. F., and, Zhang, H., PETSc Users Manual, Technical Report, Argonne National Laboratory, 2012.Google Scholar
[3]Cai, X.-C. and Sarkis, M., A restricted additive Schwarz preconditioner for general sparse linear systems, SIAM J. Sci. Comput., 21 (1999), 792–797.Google Scholar
[4]Chen, R. and Cai, X.-C., Parallel one-shot Lagrange-Newton-Krylov-Schwarz algorithms for shape optimization of steady incompressible flows, SIAM J. Sci. Comput., 34 (2012), 584–605.Google Scholar
[5]Chen, R., Wu, Y., Yan, Z., Zhao, Y., and Cai, X.-C., A parallel domain decomposition method for 3D unsteady incompressible flows at high Reynolds number, J. Sci. Comput., (to appear).Google Scholar
[6]Diedrichs, B., Studies of Two Aerodynamic Effects on High-Speed Trains: Crosswind Stability and Discomforting Car Body Vibrations Inside Tunnels, Ph.D. Thesis, Royal Institute of Technology (KTH), 2006.Google Scholar
[7]Favre, T., Diedrichs, B., and Efraimsson, G., Detached-Eddy simulations applied to unsteady crosswind aerodynamics of ground vehicles, Progress in Hybrid RANS-LES Modelling, Springer, 2010, 167–177.Google Scholar
[8]Franca, L. P. and Frey, S. L., Stabilized finite element method: II. The incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 99 (1992), 209–233.Google Scholar
[9]Guilmineau, E., Computational study of flow around a simplified car body, J. Wind. Eng. Ind. Aerod., 96 (2008), 1207–1217.Google Scholar
[10]Hemida, H. and Baker, C., Large-eddy simulation of the flow around a freight wagon subjected to a crosswind, Comput. Fluids, 39 (2010), 1944–1956.CrossRefGoogle Scholar
[11]Hemida, H. and Krajnovic, S., LES study of the impact of the wake structures on the aerodynamics of a simplified ICE2 train subjected to a side wind, presented at the 4th International Conference on Computational Fluid Dynamics, Ghent, Belgium, July 10–14, 2006.Google Scholar
[12]Hu, Q. and Zou, J., Nonlinear inexact Uzawa algorithms for linear and nonlinear saddle-point problems, SIAM J. Optim., 16 (2006), 798–825.Google Scholar
[13]Hwang, F.-N. and Cai, X.-C., A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations, J. Comput. Phys., 204 (2005), 666–691.Google Scholar
[14]Hwang, F.-N., Wu, C.-Y., and Cai, X.-C., Numerical simulation of three-dimensional blood flows using domain decomposition method on parallel computer, J. CSME., 31 (2010), 199–208.Google Scholar
[15]Karypis, G., Aggarwal, R., Schloegel, K., Kumar, V., and Shekhar, S., ParMETIS home page, http://glaros.dtc.umn.edu/gkhome/metis/parmetis/overview.Google Scholar
[16]Khier, W., Breuer, M., and Durst, F., Flow structure around trains under side wind conditions: a numerical study, Comput. Fluids, 29 (2000), 179–195.Google Scholar
[17]Krajnovic, S., Numerical simulation of the flow around an ICE2 train under the influence of a wind gust, presented at the International Conference on Railway Engineering, Hong Kong, China, March 25–28, 2008.Google Scholar
[18]Saad, Y., Iterative Method for Sparse Linear Systems, SIAM, 2003.Google Scholar
[19]Smith, B. F., Bjørstad, P. E., and Gropp, W. D., Domain Decomposition Parallel Multilevel Methods for Elliptic Partial Differential Equations, Cambridge university press, Cambridge, 1996.Google Scholar
[20]Wu, Y. and Cai, X.-C., A parallel two-level method for simulating blood flows in branching arteries with the resistive boundary condition, Comput. Fluids, 45 (2011), 92–102.Google Scholar
[21]Yang, G. W., Guo, D. L., Yao, S. B., and Liu, C. H., Aerodynamic design for China new highspeed trains, Sci. China Tech. Sci., 55 (2012), 1923–1928.Google Scholar
[22]Zhou, D., Tian, H. Q., and Lu, Z. J., Influence of the strong crosswind on aerodynamic performance of passenger train running on embankment, J. Traffic Transp. Eng., 7 (2007), 6–9.Google Scholar