• 제목/요약/키워드: 변분 다중스케일법

검색결과 4건 처리시간 0.021초

변분적 다중 스케일 방법을 이용한 탄소성 변형의 무요소해석 (Meshfree Analysis of Elasto-Plastic Deformation Using Variational Multiscale Method)

  • 연정흠;윤성기
    • 대한기계학회논문집A
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    • 제28권8호
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    • pp.1196-1202
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    • 2004
  • A meshfree multi-scale method has been presented for efficient analysis of elasto-plastic problems. From the variational principle, problem is decomposed into a fine scale and a coarse scale problem. In the analysis only the plastic region is discretized using fine scale. Each scale variable is approximated using meshfree method. Adaptivity can easily and nicely be implemented in meshree method. As a method of increasing resolution, partition of unity based extrinsic enrichment is used. Each scale problem is solved iteratively. Iteration procedure is indispensable for the elasto-plastic deformation analysis. Therefore this kind of solution procedure is adequate to that problem. The proposed method is applied to Prandtl's punch test and shear band problem. The results are compared with those of other methods and the validity of the proposed method is demonstrated.

변분다중스케일법을 이용한 파형벽면이 있는 채널 난류 유동의 대와류모사 (LARGE EDDY SIMULATION OF FULLY TURBULENT WAVY CHANNEL FLOW USING RESIDUAL-BASED VARIATIONAL MULTI-SCALE METHOD)

  • 장경식;윤범상;이주성
    • 한국전산유체공학회지
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    • 제16권2호
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    • pp.49-55
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    • 2011
  • Turbulent flows with wavy wall are simulated using Residual-based Variational Multiscale Method (RB-VMS) which is proposed by Bazilves et al(2007) as new Large Eddy Simulation methodology. Incompressible Navier-Stokes equations are integrated using Isogeometric analysis which adopt the basis function as NURBS. The Reynolds number is 6760 based on the bulk velocity and averaged channel height. And the amplitude (${\alpha}/{\lambda}$) of wavy wall is 0.05. The computational domain is $2{\lambda}{\times}1.05{\lambda}{\times}{\lambda}$ in the streamwise, wall normal and spanwise direction. Mean quantities and turbulent statistics near wavy wall are compared with DNS results of Cherukat et al.(1998). The predicted results show good agreement with reference data.

변분다중스케일법을 이용한 $Re_{\tau}=180$ 채널 난류 유동의 대와류모사 (LARGE EDDY SIMULATION OF TURBULENT CHANNEL FLOW AT $Re_{\tau}=180$ USING VARIATIONAL MULTISCALE METHOD)

  • 장경식;이보현;윤범상;이주성;노명일
    • 한국전산유체공학회지
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    • 제15권2호
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    • pp.35-40
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    • 2010
  • In the present work, LES with new variational multiscale method is conducted on the fully developed channel flow with Reynolds number, 180 based on the friction velocity and the channel half width. Incompressible Navier-Stokes equations are integrated using finite element method with the basis function of NURBS. To solve space-time equations, Newton's method with two stage predictor multicorrector algorithm is employed. The code is parallelized using MPI. The computational domain is a rectangular box of size $2{\pi}{\times}2{\times}4/3{\pi}$ in the streamwise, wall normal and spanwise direction. Mean velocity profiles and velocity fluctuations are compared with the data of DNS. The results agree well with those of DNS and other traditional LES.

변분다중스케일법을 이용한 $Re_{\tau}=180$ 채널 난류 유동의 대와류모사 (LARGE EDDY SIMULATION OF FULLY TURBULENT CHANNEL FLOW USING VARIATIONAL MULTISCALE METHOD)

  • 장경식;이보현;윤범상;이주성;노명일
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.56-59
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    • 2009
  • In the present work, LES with new variational multiscale method is conducted on the fully developed channel flow with Reynolds number is 180 based on the friction velocity and the channel half width. Incompressible Navier-Stokes equations are integrated using finite element method with the basis function of NURBS. To solve space-time equations, Newton's method with two stage predictor multicorretor algorithm is employed. The code is parallelized using MPI. The computational domain is a rectangular box of size $2{\pi}{\times}2{\times}4/3{\pi}$ in the streamwise, wall normal and spanwise direction. Mean velocity profiles and velocity fluctuations are compared with the data of DNS. The results agree well with those of DNS and other traditional LES.

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