Proceedings of the Korea Committee for Ocean Resources and Engineering Conference (한국해양공학회:학술대회논문집)
- 2004.05a
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- Pages.216-221
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- 2004
An Incompressible Flow Computation using a Hierarchical Iterative Method
계층적 반복법을 이용한 비압축성 유동계산
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Kim Jin Whan
(School of Mechanical and Industrial Information,) ;
- Jeong Chang Ryul (Delphi Automotive Systems, SungWoo Corp.)
- Published : 2004.05.01
Abstract
In two dimensional incompressible flaws, 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 and hence achieve 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 has been used to achieve a higher order accuracy in fluid flaw analyses, but a proper efficient iterative procedure for higher order finite element formulation has not been available so far. The numerical results by the present HIP for the lid driven cavity flaw showed the present procedure to be stable, very efficient and useful in flaw analyses in conjunction with hierarchical elements.