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WENO格式与虚拟单元浸入边界法在笛卡尔网格中的应用
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国家自然科学基金(11002071)


Application of WENO scheme with ghost cell immersed boundary method on Cartesian mesh
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    摘要:

    高精度有限差分WENO格式在结构网格上处理具有复杂几何外形绕流问题时较困难,而虚拟单元浸入边界法却是一种较新颖且对网格的要求较低的方法,适用于复杂几何外形边界的处理.为此,在笛卡尔网格上采用WENO格式以求解Euler守恒律方程,试图将两者有效结合起来,希望能在笛卡尔网格上处理具有复杂几何外形的物体绕流问题.最后,几个经典数值算例的结果验证了该方法的有效性.

    Abstract:

    Finite difference WENO scheme of high order accuracy scheme has difficulty in dealing with the problem which has the flow over a complex geometry on structured mesh.While the ghost cell immersed boundary method is a novel and general technique for handling a flow with complex geometry without any special needs of computing mesh.We use the WENO scheme in conjunction with the ghost cell immersed boundary method to solve the above-mentioned problem on Cartesian mesh.Finally,the results of some classic numerical tests are given to verify the effectiveness of this proposed method.

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李自启,朱君. WENO格式与虚拟单元浸入边界法在笛卡尔网格中的应用[J].南京信息工程大学学报(自然科学版),2013,5(1):86-90
LI Ziqi, ZHU Jun. Application of WENO scheme with ghost cell immersed boundary method on Cartesian mesh[J]. Journal of Nanjing University of Information Science & Technology, 2013,5(1):86-90

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  • 收稿日期:2012-09-10

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