Journal of the Korean Society for Aeronautical & Space Sciences (한국항공우주학회지)

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
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Issues and Solutions for the Numerical Analysis of High Mach Number Flow over a Blunt-Body

무딘 물체 주위 고마하수 유동해석의 문제점과 해결책

  • Published : 2006.06.30
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Abstract

Numerical analysis of high Mach number flow over a blunt-body poses many difficulties and various numerical schemes have been suggested to overcome the problems. However, the new schemes were used in the limited fields of applications because of the lack of field experience compared to more than 20 years old numerical schemes and the intricacies of modifying the existing code for the special application. In this study, some tips to overcome the numerical difficulties in solving the 3D high-Mach number flows by using Roe's scheme, the most widely used for the past 25 years and adopted in many commercial codes, were examined without a correction of the algorithm or a modification of the CFD code. The well-known carbuncle phenomena of Riemann solvers could be remedied even for an extremely high Mach number by applying the entropy fixing function and a unphysical solution could be overcome by applying a simply modified initial condition regardless of the entropy fixing and grid configuration.

무딘 물체 주위의 고마하수 유동의 수치해석은 여러 문제점을 지니고 있으며, 이러한 문제점을 해결하기 위한 다양한 해석 기법이 제시되어왔다. 그러나 20년 이상된 수치 기법과 비교할 때 현장 경험의 부족, 그리고 특별한 응용을 위하여 기존의 코드를 수정하는 번거로움 등으로 인해 새로운 기법들은 한정된 응용 분야에서만 이용되고 있다. 본 연구에서는 지난 25년간 가장 널리 이용되고 있고 여러 상용코드에도 적용된 Roe의 FDS 수치해법을 이용하여 알고리듬이나 전산유체해석 코드의 수정 없이 3차원 고마하수 유동 해석의 문제점을 극복하는 방안을 살펴보았다. 매우 큰 마하수에서도 엔트로피 수정을 통하여 Riemann 해법들의 문제점으로 잘 알려진 carbuncle 현상이 해결 가능함을 보였으며, 비물리적 해의 문제도 초기조건의 간단한 수정으로 엔트로피 수정이나 격자 형상에 관계없이 해결할 수 있었다.

Keywords

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