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IMPLEMENTATION OF ADAPTIVE WAVELET METHOD FOR ENHANCEMENT OF COMPUTATIONAL EFFICIENCY FOR THREE DIMENSIONAL EULER EQUATION

3차원 오일러 방정식의 계산 효율성 증대를 위한 Adaptive Wavelet 기법의 적용

  • Jo, D.U. (Dept. of Mechanical Engineering, Hanyang Univ.) ;
  • Park, K.H. (PMD Motor & Control Group, Samsung Electro-Mechanics) ;
  • Kang, H.M. (Aerodynamics Team, Korea Aerospace Research Institute) ;
  • Lee, D.H. (Dept. of Mechanical Engineering, Hanyang Univ.)
  • 조동욱 (한양대학교 기계공학과) ;
  • 박경현 (삼성전기 중앙연구소 PMD 모터제어그룹) ;
  • 강형민 (한국항공우주연구원 공력성능팀) ;
  • 이도형 (한양대학교 기계공학과)
  • Received : 2014.04.02
  • Accepted : 2014.06.13
  • Published : 2014.06.30

Abstract

The adaptive wavelet method is studied for the enhancement of computational efficiency of three-dimensional flows. For implementation of the method for three-dimensional Euler equation, wavelet decomposition process is introduced based on the previous two-dimensional adaptive wavelet method. The order of numerical accuracy of an original solver is preserved by applying modified thresholding value. In order to assess the efficiency of the proposed algorithm, the method is applied to the computation of flow field around ONERA-M6 wing in transonic regime with 4th and 6th order interpolating polynomial respectively. Through the application, it is confirmed that the three-dimensional adaptive wavelet method can reduce the computational time while conserving the numerical accuracy of an original solver.

Keywords

References

  1. 1994, Harten A., "Adaptive multiresolution schemes for shock computation," Journal of Computational Physics, Vol.115, pp.319-338. https://doi.org/10.1006/jcph.1994.1199
  2. 1999, Holmstrom M., "Solving hyperbolic PDEs using interpolation wavelets," SIAM journal on Scientific Computing, Vol.21, pp.405-420. https://doi.org/10.1137/S1064827597316278
  3. 1995, Sjogreen B., "Numerical experiments with the multi-resolution scheme for the compressible Euler equations," Journal of Computational Physics, Vol.117, pp.251-261. https://doi.org/10.1006/jcph.1995.1063
  4. 2008, Kang, H., Kim, K., Lee, D. and Lee, D., "Improvement in computational efficiency of Euler equations via a modified Sparse Point Representation method," Compu. and Fluids, Vol.37, pp.265-280. https://doi.org/10.1016/j.compfluid.2007.05.003
  5. 2008, Kang, H., Kim, K., Lee, D. and Lee, D., "Improved computational efficiency of unsteady flow problems via the modified wavelet method," AIAA Journal, Vol.46, pp.1191-1203. https://doi.org/10.2514/1.34294
  6. 2006, Wirasaet, D. and Paolucci, S., "Three-dimensional Flow in the Differentially Heated Cavity Using an Adaptive Wavelet Method," 9th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, San Francisco, California, AIAA-2006-3924.
  7. 1979, Schmitt, V. and Charpin, F., "Pressure Distributions on the ONERA-M6-Wing at Transonic Mach Numbers," Experimental Data Base for Computer Program Assessment. Report of the Fluid Dynamics Panel Working Group 04, AGARD AR 138, May.

Cited by

  1. IMPROVEMENT OF FLOW SIMULATIONS METHOD WITH MULTI-RESOLUTION ANALYSIS BY BOUNDARY TREATMENT vol.20, pp.4, 2015, https://doi.org/10.6112/kscfe.2015.20.4.044