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AN EFFICIENT INCOMPRESSIBLE FREE SURFACE FLOW SIMULATION USING GPU

GPU를 이용한 효율적인 비압축성 자유표면유동 해석

  • Hong, H.E. (School of Naval Architecture and Ocean Engineering, University of Ulsan) ;
  • Ahn, H.T. (School of Naval Architecture and Ocean Engineering, University of Ulsan) ;
  • Myung, H.J. (Super Computing Center, KISTI)
  • 홍환의 (울산대학교 조선해양공학부) ;
  • 안형택 (울산대학교 조선해양공학부) ;
  • 명훈주 (한국과학기술정보연구원)
  • Received : 2011.12.05
  • Accepted : 2012.06.11
  • Published : 2012.06.30

Abstract

This paper presents incompressible Navier-Stokes solution algorithm for 2D Free-surface flow problems on the Cartesian mesh, which was implemented to run on Graphics Processing Units(GPU). The INS solver utilizes the variable arrangement on the Cartesian mesh, Finite Volume discretization along Constrained Interpolation Profile-Conservative Semi-Lagrangian(CIP-CSL). Solution procedure of incompressible Navier-Stokes equations for free-surface flow takes considerable amount of computation time and memory space even in modern multi-core computing architecture based on Central Processing Units(CPUs). By the recent development of computer architecture technology, Graphics Processing Unit(GPU)'s scientific computing performance outperforms that of CPU's. This paper focus on the utilization of GPU's high performance computing capability, and presents an efficient solution algorithm for free surface flow simulation. The performance of the GPU implementations with double precision accuracy is compared to that of the CPU code using an representative free-surface flow problem, namely. dam-break problem.

Keywords

References

  1. 1981, Hirt, C. W., Nicholls, B. D., "Volume of Fluid(VOF) Method for the Dynamics of Free Boundaries," Journal of Computational Physics, 39, pp.201-225. https://doi.org/10.1016/0021-9991(81)90145-5
  2. 1994, Sussman, M., Smereka, P., Osher, S., "A Level Set Approach for Computing Solution to Incompressible Two-Phase Flows," Journal of Computational Physics, 114, pp.146-159. https://doi.org/10.1006/jcph.1994.1155
  3. 1987, Takewaki, H., Yabe, T., "The Cubic-interpolated Pseudo Particle (CIP) Method Application to Nonlinear and Multi-dimensional Hyperbolic Equations," Journal of Computational Physics, 70, pp.355-372. https://doi.org/10.1016/0021-9991(87)90187-2
  4. 2009, Ahn, H.T., Shashkov M., Chiston M.A., "The Moment-of-Fluid Method," Communications in Numerical Methods in Engineering, 25, pp.1009-1018. https://doi.org/10.1002/cnm.1135
  5. 2000, Yabe, T., Tanaka, R., Nakamura, T., Xiao, F., "An Exactly Conservative Semi-Lagrangian Scheme (CIP-CSL) in one dimension," Monthly weather reiview, 129, pp.332-344.
  6. 1985, Kim, J., Moin, P., "Applications of a Fractional-Sstep Method to Incompressible Navier-Stokes Equations," Journal of Computational Physics, 59, pp.308-323. https://doi.org/10.1016/0021-9991(85)90148-2
  7. 2005, Xiao, F., Ikebata, A., Hasegawa, T., "Numerical Simulations of Free-interface Fluids by a Multi-integrated Moment Method," Computers & Structure, 83, pp.409-423. https://doi.org/10.1016/j.compstruc.2004.06.005
  8. 2011, Im, H.N., "Interface-Tracking Simulation of Multi-phase Flow Using CIP-CSL2 Scheme," Korean Society of Computational Fluids Engineering spring conference, JEJU, Republic of Korea, 26-27 May 2011.
  9. http://www.nvidia.com/object/cuda_home_new.html.
  10. 2011, Park, T.J., Woo, J.M., Kim, C.H., "CUDA-based Parallel Bi-Conjugate Gradient Matrix Solver for BioFET Simulation," Journal of IEEK, 48-cl, pp.90-100.
  11. 1952, Martin, J.C., Moyce, W.J., "An Experimental Study of the Collapse of Liquid Columns on a Rigid Horizontal Plane," Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 244, Issue 882, pp.312-324. https://doi.org/10.1098/rsta.1952.0006

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