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Influence of TVD Schemes on the Spatial Accuracy of Turbulent Flows Around a Hull When Using Structured and Unstructured Grids

정렬 및 비정렬 격자를 이용한 선체 주위 유동에서 TVD 기법이 공간 정확도에 미치는 영향

  • Sim, Min Gyeoung (Department of Naval Architecture and Offshore Engineering, Dong-A University) ;
  • Lee, Sang Bong (Department of Naval Architecture and Offshore Engineering, Dong-A University)
  • 심민경 (동아대학교 조선해양플랜트공학과) ;
  • 이상봉 (동아대학교 조선해양플랜트공학과)
  • Received : 2021.02.28
  • Accepted : 2021.04.20
  • Published : 2021.06.20

Abstract

Computational simulations of turbulent flows around a model ship have been performed to investigate an influence of TVD schemes on the accuracy of advective terms associated with ship resistances. Several TVD schemes including upwind, second-order upwind, vanLeer, and QUICK as well as a nonTVD linear scheme were studied by examining temporal and spatial characteristics of accuracy transition in adjacent cells to the hull. Even though vanLeer scheme was the most accurate among TVD schemes in both structured and unstructured grid systems, the ratio of accuracy switch from 2nd order to 1st order in vanLeer scheme was considerable compared with the 2nd order linear scheme. Also, the accuracy transition was observed to be overally scattered in the unstructured grid while the accuracy transition in the structured grid appeared relatively clustered. It concluded that TVD schemes had to be carefully used in computational simulations of turbulent flows around a model ship due to the loss of accuracy despite its attraction of numerical stability.

Keywords

Acknowledgement

이 논문은 2021년도 정부(과학기술정보통신부)의 재원으로 한국연구재단의 지원을 받아 수행된 기초연구사업입니다 (No. NRF-2019R1A2C1004682).

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