A Study of Optimal Mesh Interface Region Generation to Improve Spatial and Temporal Accuracy

공간 및 시간 정확도 향상을 위한 최적의 삽간영역 구성에 관한 연구

  • 조금원 (한국과학기술정보연구원 슈퍼컴퓨팅센터)
  • Published : 2003.09.01

Abstract

The spatial accuracy becomes first-order when second-order conservation schemes including the non-conservative interpolation in general Chimera method are used. To ensure the solution accuracy, the discontinuities must be located away from the overlapped regions, and the length of overlapped region also must be proportional to the grid spacing. In this paper, a proposed method, cut-paste algorithm, is used to satisfy above constraints. The cut-paste algorithm can generate the optimal mesh inteface region automatically, To validate the spatial and temporal accuracy due to the non-conservative interpolation, inviscid and viscous problems are tested.

Keywords

References

  1. L.E. Lijewski and N.E. Suhs, 'Time-Accurate Computational Fluid Dynamics Approach to Transonic Store Seperadon Trajectory Prediction,' Journal of Aircraft, Vol.31, No.4, July-Aug, (1994)
  2. K.W. Cho, J.H. Kwon and S. Lee, 'Development of a Fully Systemized Chimera Methodology for Steady/Unsteady Problems,' Journal of Aircraft, Vol.36, No.6, (1999), p.973-980
  3. E. Part-Enander and B. Sjogreen, 'Conservative and Non-conservative Interpolation between Overlapping Grids for Finite Volume Solutions of Hyperbolic Problems,' Computers and Fluids, Vol.23, No.3, (1996), p.551-574
  4. Z.J. Wang, 'A Fully Conservative Interface Algorithm for Overlapped Grids,' Journal of Computational Physics, Vol.122, (1995), p.96-106
  5. S. Lee, 'Numerical Computation of Flows About an Aircraft with flow-through Inlet,' Journal of the Korean Society for Aeronautical and Space Sciences, Vol.25, No.5, (1997), p.16-23
  6. 조금원, '상대운동이 있는 3차원 비정상 유동해석을 위한 효율적인 중첩격자계 개발,' 한국과학기술원 박사학위 논문, (2000)
  7. G. Chesshire and W.D. Henshaw, 'Composite Overlapping Meshes for the Solution of Partial Differential Equations,' Journal of Computational Physics, Vol.90, (1990), p.1-64
  8. M.J. Berger, 'On Conservation at Grid Interfaces,' SIAM Journal of Numerical Analysis, Vol.24, No.5, (1987), p.967-984
  9. Z.J. Wang, 'Recent Development on the Conservation Property of Chimera,' AIAA paper 98-0216, (1998)
  10. J.H. Kuan, 'Study of Time Accuracy of Flow Variables Across Discontinuous Boundaries,' Ph.D Thesis, University of Colorado at Boulder, (1990)
  11. L. Martinelli, 'Calculations of Viscous Flows with a Multigrid Method,' Ph.D. Thesis, Princeton Univ., (1987)