Accurate Computations for Multi-dimensional Flows : Multi-dimensional Higher order Interpolation Scheme

다차원 유동의 정확한 수치해석 : 다차원 고차 내삽 기법

  • 김규홍 (서울대학교 기계항공공학부) ;
  • 김종암 (서울대학교 기계항공공학부) ;
  • 노오현 (서울대학교 기계항공공학부)
  • Published : 2003.08.01

Abstract

The new multi-dimensional higher order interpolation scheme called MHIS is developed. Firstly, multi-dimensional TVD condition is derived based on one-dimensional TVD condition. Using multi-dimensional TVD condition, 2nd, 3rd and 5th order MHIS are presented. By help of multi-dimensional TVD condition, it is possible to captured a discontinuity monotonically even in a multi-dimensional flow. It is verified through several test cases that the accuracy and the robustness of MHIS are enhanced in regions of shock discontinuities as well as boundary-layers.

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