Commun. Comput. Phys., 15 (2014), pp. 944-958.

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

Zhengzheng Yan 1, Rongliang Chen 1, Yubo Zhao 1, Xiao-Chuan Cai 2*

1 Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, P.R. China.
2 Department of Computer Science, University of Colorado Boulder, Boulder, CO 80309, USA.

Received 15 March 2013; Accepted (in revised version) 7 May 2013
Available online 21 January 2014


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.

AMS subject classifications: 76D05, 76F65, 65M55, 65Y05

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Key words: Three-dimensional unsteady incompressible flows, high-speed train, crosswind, full Navier-Stokes equations, Newton-Krylov-Schwarz algorithm, parallel computing.

*Corresponding author.
Email: (Z. Yan), (R. Chen), (Y. Zhao), (X.-C. Cai)

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