Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Fully-Implicit Decoupling Method for Incompressible Navier-Stokes Equations

비압축성 나비어-스톡스 방정식의 완전 내재적 분리 방법

  • 김경연 (한국과학기술원 기계공학과) ;
  • 백승진 (한국과학기술원 기계공학과) ;
  • 성형진 (한국과학기술원 기계공학과)
  • Published : 2000.10.01
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Abstract

A new efficient numerical method for computing three-dimensional, unsteady, incompressible flows is presented. To eliminate the restriction of CFL condition, a fully-implicit time advancement in which the Crank-Nicolson method is used for both the diffusion and convection terms, is adopted. Based on an approximate block LU decomposition method, the velocity -pressure decoupling is achieved. The additional decoupling of the intermediate velocity components in the convection term is made for the fully -implicit time advancement scheme. Since the iterative procedures for the momentum equations are not required, the velocity components decouplings bring forth the reduction of computational cost. The second-order accuracy in time of the present numerical algorithm is ascertained by computing decaying vortices. The present decoupling method is applied to minimal channel flow unit with DNS (Direct Numerical Simulation).

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References

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