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首页> 外文期刊>Journal of Computational Physics >A conservative immersed interface method for Large-Eddy Simulation of incompressible flows
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A conservative immersed interface method for Large-Eddy Simulation of incompressible flows

机译：不可压缩流大涡模拟的保守沉浸接口方法

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摘要

We propose a conservative, second-order accurate immersed interface method for representing incompressible fluid flows over complex three dimensional solid obstacles on a staggered Cartesian grid. The method is based on a finite-volume discretization of the incompressible Navier-Stokes equations which is modified locally in cells that are cut by the interface in such a way that accuracy and conservativity are maintained. A level-set technique is used for description and tracking of the interface geometry, so that an extension of the method to moving boundaries and flexible walls is straightforward. Numerical stability is ensured for small cells by a conservative mixing procedure. Discrete conservation and sharp representation of the fluid-solid interface render the method particularly suitable for Large-Eddy Simulations of high-Reynolds number flows. Accuracy, second-order grid convergence and robustness of the method is demonstrated for several test cases: inclined channel flow at Re= 20, flow over a square cylinder at Re= 100, flow over a circular cylinder at Re= 40, Re= 100 and Re= 3900, as well as turbulent channel flow with periodic constrictions at Re= 10,595.
机译：我们提出了一种保守的二阶精确沉浸式界面方法，用于表示交错的笛卡尔网格上复杂的三维固体障碍物上不可压缩的流体流动。该方法基于不可压缩的Navier-Stokes方程的有限体积离散化，该离散化在界面被剪切的单元格中进行局部修改，以保持准确性和保守性。水平集技术用于描述和跟踪界面几何形状，因此该方法可以很容易地扩展到移动边界和柔性墙。通过保守的混合程序可确保小型电池的数值稳定性。离散守恒和流固界面的清晰表示使该方法特别适合于高雷诺数流的大涡模拟。在几个测试案例中证明了该方法的准确性，二阶网格收敛性和鲁棒性：在Re = 20时倾斜的通道流，在Re = 100时流经方形圆柱体，在Re = 40时流经圆柱体，Re = 100 Re = 3900，以及在Re = 10595时具有周期性收缩的湍流通道。

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