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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >A Eulerian-Lagrangian method applied to fluid flow in lid-driven cavities with irregular bottom walls
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A Eulerian-Lagrangian method applied to fluid flow in lid-driven cavities with irregular bottom walls

机译：欧拉-拉格朗日方法应用于底壁不规则的盖子驱动型腔中的流体流动

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摘要

In this work, a mixed Eulerian-Lagrangian method is employed to explore fluid flows in two-dimensional, lid-driven, irregular-bottom cavities. The methodology can handle fluid flows in the presence of irregularly shaped solid boundaries. A fixed Cartesian grid is used in the discretization of the momentum and mass equations, precluding the need to generate a grid to accommodate the non-Cartesian walls. Special treatment is required to deal with the control volumes located at the fluid-solid interface, an approach that is described herein. The discretization of the governing equations uses the finite-volume method with a collocated, i.e., cell-centered arrangement of velocity and pressure. The procedure is verified by solving two-dimensional lid-driven cavity flows for different Reynolds numbers in standard cavity shapes such as semicircular, rectangular, and square, with or without an irregular bottom wall. Results for the velocity components along the geometric centerline, stream function patterns, and pressure contours are presented and discussed. Excellent congruence with benchmark solutions is obtained.
机译：在这项工作中，采用了一种混合的欧拉-拉格朗日方法来探索二维，盖子驱动，不规则底部腔体中的流体流动。该方法可以在形状不规则的固体边界存在时处理流体流动。在动量和质量方程的离散化中使用固定的笛卡尔网格，从而排除了生成网格以容纳非笛卡尔墙的需要。需要特殊处理以处理位于流固界面处的控制体积，本文描述了一种方法。控制方程的离散化使用有限体积方法，并排设置，即速度和压力以单元为中心。通过求解二维盖体驱动的腔流，以标准腔体形状（例如半圆形，矩形和正方形）中不同雷诺数的二维腔体流动进行验证，无论是否具有不规则的底壁。提出并讨论了沿几何中心线的速度分量，流函数模式和压力等高线的结果。与基准解决方案完美融合。

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