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    타이틀 Detail of the Leith Type Third-order of Upwind Scheme and Application to Viscous Incompressible Unbounded Flows for Re>-1000
    저자 Shigeki Hatayama
    Keyword Leith type 3d upwind scheme; open boundary condition; Sommerfeld radiation condition; backward-facing step flow; blunt based body flow; rectangular cylinder obstacle flow
    URL http://send.nal.go.jp/send/jpn/dlpdf.php3/naltr0001373t.pdf?id=NALTR0001373T
    보고서번호 NAL TR-1373T
    발행년도 1999.01
    출처 NAL (National Aerospace Laboratory of Japan)
    ABSTRACT In this paper we give a detailed description of the Leith type three-order upwind finite difference schemes indispensable to compute numerical solutions of incompressible unbounded flows for Re>-1,000. To test the effectiveness of this scheme, we define three problems: the backward-facing step, the blunt based body and the rectangular cylinder obstacle; give a detailed description of finite difference approximations of initial conditions, boundary conditions and sharp corners for each problem; and give a detailed description of finite difference approximations for the four investigated open boundary conditions. The results of numerical experiments showed that this scheme is stable and accurate as was expected, and also that there are large differences among the four open boundary conditions in flows in the domain near the open boundary, when the problem becomes more complicated.

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