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

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
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Study on the Applications of Automatic Differentiation in Engineering Computation

자동 미분의 공학 계산 적용 연구

  • 이재훈 (한국과학기술원 항공우주공학과 대학원) ;
  • 임동균 (한국과학기술원 항공우주공학과 대학원) ;
  • 권장혁 (한국과학기술원 항공우주공학과)
  • Published : 2008.07.04
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Abstract

Automatic Differentiation(AD) is a tool for generating sensitivities, such as gradient or Jacobian, automatically. AD tools provide mathematically exact sensitivities for the given source code. In this paper applications of automatic differentiation are studied. Derivative codes are generated with AD tools for structural analysis code and flow analysis code. How to apply AD tools is explained and the accuracy of sensitivities is compared with the finite difference. Sensitivities of generated derivative code accord well with finite difference, but the calculation time of derivative code increases. It was found that the calculation time can be decreased by additional modification of derivative code.

자동 미분은 기울기나 Jacobian과 같은 민감도를 자동으로 생성해주는 도구이다. 자동 미분은 수학적으로 정확한 민감도를 계산해준다. 본 논문에서는 자동 미분의 공학 계산에 대한 적용에 대해 살펴보았다. 자동 미분을 이용해 구조 해석 코드와 유동장 해석 코드의 미분 코드를 생성하였다. 본 논문은 자동 미분의 적용에 대해 기술하였으며 자동 미분의 정확성 검증을 위해 유한 차분과 비교하였다. 미분 코드의 결과는 유한 차분과 잘 일치하였으나 계산 시간이 증가하였다. 생성된 미분 코드의 추가적인 수정을 통해 계산의 단축이 가능함을 확인하였다.

Keywords

References

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