Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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A Study on CFD Data Compression Using Hybrid Supercompact Wavelets

  • Hyungmin Kang (School of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Lee, Dongho (School of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Lee, Dohyung (Department of Mechanical Engineering, Hanyang University)
  • Published : 2003.11.01
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Abstract

A hybrid method with supercompact multiwavelets is suggested as an efficient and practical method to compress CFD dataset. Supercompact multiwavelets provide various advantages such as compact support and orthogonality in CFD data compression. The compactness is a crucial condition for approximated representation of CFD data to avoid unnecessary interaction between remotely spaced data across various singularities such as shock and vortices. But the supercompact multiwavelet method has to fit the CFD grid size to a product of integer and power of two, m${\times}$2$^n$. To resolve this problem, the hybrid method with combination of 3, 2 and 1 dimensional version of wavelets is studied. With the hybrid method, any arbitrary size can be handled without any shrinkage or expansion of the original problem. The presented method allows high data compression ratio for fluid simulation data. Several numerical tests substantiate large data compression ratios for flow field simulation successfully.

Keywords

References

  1. Beam, R. M. and Warming, R. F., 1996, 'Multiresolution Analysis and Supercompact Multiwavelets,' NASA, TM 110405
  2. Daubechies, I., 1988, 'Orthonormal Basis of Compactly Supported Wavelets,' Comm Pure Appl Math, Vol. 41, pp. 909-996 https://doi.org/10.1002/cpa.3160410705
  3. T.R. Downie and B. W. Silverman, 'The discrete multiple wavelet transform and thresholding methods', IEEE, Vol.46, pp.2558-2561, Sept., 1998 https://doi.org/10.1109/78.709546
  4. 'Gridpoints', NASA NAS System Division, Spring, 2001
  5. Haar, A., 1910, 'Zur Theorie der Orthogonalen Func-Tionen-Systeme,' Math. Annan., Vol. 69, pp. 331-371 https://doi.org/10.1007/BF01456326
  6. Hwang, J., Lee, B., Park, Y. and Lee, D., 2001, 'Numerical Investigations on the Flowfiled around a Square Cylinder at Ground Proximity,' AIAA, 2001-0600, 39th Aerospace Sciences Meeting & Exhibit, Reno January 12-15
  7. Lee, D., 2000, 'Supercompact Multi-Wavelets for three Dimensional Flow Field Simulation,' AIAA Paper 2000-0396, 38th AIAA Aerosapce Sciences Meeting & Exhibit, Reno, NV, January 10-13
  8. Lee, D., 2001, 'Supercompact Multi-Wavelets for Flow Field Simulation,' Computers & Fluids, 30 (7-8): 783-805 https://doi.org/10.1016/S0045-7930(01)00029-9
  9. Lee, S. and Kim, K., 2000, 'Design Optimization of Axial Flow Compressor Blades with Three-Dimensional Navier-Stokes Solver,' KSME Int. Vol. 14, No. 9, pp. 1005-1012 https://doi.org/10.1007/BF03185803
  10. Rott, N., 1958, 'On the Viscous Core of a Line Vortex,' J Appl Math Phys, 9b(5/6): 543-53 https://doi.org/10.1007/BF02424773
  11. Shin, D., 2000, 'Direct Numerical Simulation of 3-Dimensional Axial Turbulent Boundary Layers with Spanwise Curvature,' KSME Int. Vol. 14, No. 4, pp. 441-447 https://doi.org/10.1007/BF03186438