Journal of Ocean Engineering and Technology (한국해양공학회지)

Korean Society of Ocean Engineers (한국해양공학회)
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An Incompressible Flow Computation by a Hierarchical Iterative Preconditioning

계층적 반복의 예조건화에 의한 비압축성 유동 계산

  • KIM JIN WHAN (School of Mechanical and Industrial Information, Dongeui University) ;
  • JEONG CHANG-RYUL (Delphi Automotive Systems, SungWoo Corp.)
  • 김진환 (동의대학교 기계정보산업공학부) ;
  • 정창률 (델파이 오토모티브 시스템즈 성우(주))
  • Published : 2003.10.01
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Abstract

In two-dimensional incompressible flows, a preconditioning technique called Hierarchical Iterative Procedure (HIP) has been implemented on a SUPG finite element formulation. By using the SUPG formulation, one can escape from the LBB constraint hence, achieving an equal order formulation. In this paper, we increased the order of interpolation up to cubic. The conjugate gradient squared (CGS) method is used for the outer iteration, and the HIP for the preconditioning for the incompressible Navier-Stokes equation. The hierarchical elements have been used to achieve a higher order accuracy in fluid flow analyses, but a proper and efficient iterative procedure for higher order finite element formulation has not been available, thus far. The numerical results by the present HIP for the lid driven cavity flow showed the present procedure to be stable, very efficient, and useful in flow analyses, in conjunction with hierarchical elements.

Keywords

References

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