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Sharp resolution of complex moving geometries using a multi-cut-cell viscous flow solver

机译:使用多切孔粘性流动求解器,可以对复杂的移动几何图形实现清晰的分辨率

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In many engineering problems the sharp resolution of the flow field near irregularly shaped boundaries is essential, e.g., for the flow in complex geometries such as internal combustion engines or for particulate flows with irregular particle shapes or inter-particle and wall-particle collisions. Especially when moving boundaries are involved, immersed boundary methods have been increasingly used for the simulation of such flows during the past decades. Among the different immersed boundary variants the cut-cell method is the only strictly mass-conserving approach and is capable of providing a sharp resolution of arbitrarily complex boundary configurations. In cut-cell methods, Cartesian cells that are intersected by the boundary surfaces are reshaped to retain only the fluid fraction of the original cell volume. However, computing the intersections of Cartesian cells with complex or non-smooth boundaries is tedious and difficult to be realized in a generic and robust fashion. In this study, a new multi-cut-cell method is presented in which complex intersections of a single Cartesian cell with multiple surfaces are handled by a generic and conception-ally simple procedure. In this strict finite-volume approach, an accurate representation of different boundary conditions within a single cell is realized. Sharp features of the boundaries and independently moving objects are tracked by a multiple-level-set formulation which preserves non-smooth regions of the boundary. The accuracy of the new method is demonstrated for several three-dimensional flow configurations involving moving boundaries, such as the turbulent flow field in a realistic internal combustion engine and colliding particles.
机译:在许多工程问题中,对于不规则形状的边界附近的流场,要获得清晰的分辨率至关重要,例如,对于复杂几何形状(例如内燃机)中的流或具有不规则颗粒形状或颗粒间和壁间颗粒碰撞的颗粒流而言,这是必不可少的。特别是当涉及移动边界时,在过去的几十年中,越来越多地使用沉浸边界方法来模拟这种流动。在不同的浸入式边界变体中,切割单元方法是唯一严格的质量守恒方法,并且能够为任意复杂的边界配置提供清晰的分辨率。在切细胞方法中,通过边界表面相交的笛卡尔细胞会被重塑以仅保留原始细胞体积的流体部分。然而,计算具有复杂或不平滑边界的笛卡尔单元的交点是单调乏味的,并且难以以通用且鲁棒的方式实现。在这项研究中,提出了一种新的多切割单元方法,其中,通过通用且概念上简单的过程来处理单个笛卡尔单元与多个表面的复杂相交。在这种严格的有限体积方法中,实现了单个单元内不同边界条件的精确表示。边界和独立移动对象的鲜明特征通过多级集公式进行跟踪,该公式保留了边界的非平滑区域。对于涉及移动边界的几种三维流动配置,例如实际内燃机中的湍流场和碰撞粒子,证明了该新方法的准确性。

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