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Improved efficiency of numerical modeling using the expanding domain method with a logarithmic grid

영역확장법 및 로그격자를 이용한 수치모델링 효율 향상 연구

  • Hong, Bo-Ram (Department of Energy & Resources Engineering, Korea Marine and Ocean University) ;
  • Bae, Ho-Seuk (The 6th (Naval Systems) R&D Institute-1, Agency for Defense Development) ;
  • Ha, Wan-Soo (Department of Energy Resources Engineering, Pukyong National University) ;
  • Chung, Woo-Keen (Department of Energy & Resources Engineering, Korea Marine and Ocean University)
  • Received : 2015.10.19
  • Accepted : 2015.12.31
  • Published : 2016.01.31

Abstract

Numerical modeling based on the finite difference method has been widely used with improved computer technology. However, high-capacity computing resources are required for this technique. To overcome this limitation, we propose an algorithm the employs a logarithmic grid in conjunction with the expanding domain method. The proposed algorithm was verified through comparison with numerical results obtained with a conventional method. The results confirmed that our algorithm can improve computational efficiency.

유한차분법에 바탕을 둔 수치모델링은 컴퓨터기술의 발전과 함께 다양하게 이용되고 있다. 하지만 대용량의 컴퓨팅 리소스를 필요로 하는 문제를 지니고 있다. 이러한 한계를 극복하기 위해 본 연구에서는 로그격자와 영역확장법을 함께 적용하여 수치모델링 알고리즘을 제안하였다. 기존의 일반적인 등격자 유한차분법과 비교를 통해 알고리즘의 타당성 및 정확성을 검증하였으며, 수치예제를 통해 새롭게 제시된 알고리즘의 계산 효율성을 확인하였다.

Keywords

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