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GPU Solutions to Multi-scale Problems in Science and Engineering pp 173–185Cite as

Simulation of 1D Condensing Flows with CESE Method on GPU Cluster

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Part of the book series: Lecture Notes in Earth System Sciences ((LNESS))

Abstract

We realized the space-time Conservation Element and Solution Element method (CESE) on GPU and applied it to condensation problem in a 1D infinite length shock tube. In the present work, the CESE Method has been implemented on a graphics card 9800GT successfully with the overlapping scheme. Then the condensation problem in 1D infinite shock tube was investigated using the scheme. The speedup of the condensation problem with the overlapping schemes is \(71 \times \) (9800GT to E7300). The influence of different meshes on the asymptotic solution in an infinite shock tube with condensation was studied by using the single GPU and GPU cluster. It is found that the asymptotic solution is trustable and is mesh-insensitive when the grid size is fine enough to resolve the condensation process. It is worth to mention that the peak value of computing reaches 0.88 TFLOPS when the GPU cluster with 8 GPUs is employed.

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Acknowledgments

This research was carried out with the support of the National Natural Science Foundation of China under grant 10972214.

Author information

Authors and Affiliations

  1. Department of Modern Mechanics, University of Science and Technology of China, 230026 , Hefei, P.R. China

    Wei Ran, Wan Cheng, Fenghua Qin & Xisheng Luo

Authors
  1. Wei Ran
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  2. Wan Cheng
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  3. Fenghua Qin
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  4. Xisheng Luo
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Editor information

Editors and Affiliations

  1. University of Minnesota, Dep. of Earth Sciences and Minnesota, Supercomputing Institute, Pillsbury Hall 23, Minneapolis, 55455, Minnesota, USA

    David A. Yuen

  2. Network Information Center, Comuter Center and Computer, Zhong Guan Cun 4, Beijing, 100190, China, People's Republic

    Long Wang

  3. Supercomputing Center, Zhong Guan Cun 4, Beijing, 100190, China, People's Republic

    Xuebin Chi

  4. , Computer Science, University of Houston, Calhoun Street 4800, Houston, 77204, Texas, USA

    Lennart Johnsson

  5. Inst. Process Engineering (IPE), Chinese Academy of Sciences, Zhongguancun North Second Street 1, Beijing, 100190, China, People's Republic

    Wei Ge

  6. , Laboratory of Computational Geodynamics,, Chinese Academy of Sciences, Yu Quan Lu 19a, Beijing, 100049, China, People's Republic

    Yaolin Shi

Appendices

Appendix A

Here we list out the code of kernel function:

figure a2
figure a3

Appendix B

Table B.1 Key facts of Intel CPU Core Dual E7300:
Full size table
Table B.2 Key facts of NVIDIA graphics card 9800GT:
Full size table
Table B.3 Key facts of NVIDIA computing card Tesla C1060:
Full size table

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Ran, W., Cheng, W., Qin, F., Luo, X. (2013). Simulation of 1D Condensing Flows with CESE Method on GPU Cluster. In: Yuen, D., Wang, L., Chi, X., Johnsson, L., Ge, W., Shi, Y. (eds) GPU Solutions to Multi-scale Problems in Science and Engineering. Lecture Notes in Earth System Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16405-7_10

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