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首页> 外文期刊>Journal of Computational Physics >Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems
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Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems

机译：流体相互作用问题的笛卡尔网格模拟边界数据沉浸法

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摘要

A new robust and accurate Cartesian-grid treatment for the immersion of solid bodies within a fluid with general boundary conditions is described. The new approach, the Boundary Data Immersion Method (BDIM), is derived based on a general integration kernel formulation which allows the field equations of each domain and the interfacial conditions to be combined analytically. The resulting governing equation for the complete domain preserves the behavior of the original system in an efficient Cartesian-grid method, including stable and accurate pressure values on the solid boundary. The kernel formulation allows a detailed analysis of the method, and it is demonstrated that BDIM is consistent, obtains second-order convergence relative to the kernel width, and is robust with respect to the grid and boundary alignment. Formulation for no-slip and free slip boundary conditions are derived and numerical results are obtained for the flow past a cylinder and the impact of blunt bodies through a free surface. The BDIM predictions are compared to analytic, experimental and previous numerical results confirming the properties, efficiency and efficacy of this new boundary treatment for Cartesian grid methods.
机译：描述了一种新的鲁棒且精确的笛卡尔网格处理方法，用于将固体浸入具有一般边界条件的流体中。边界数据浸没方法（BDIM）是一种新方法，它是基于通用积分内核公式得出的，该公式允许将每个域的场方程和界面条件进行分析组合。完整域的最终控制方程以有效的笛卡尔网格方法保留了原始系统的行为，包括在固体边界上的稳定且精确的压力值。核公式可对方法进行详细分析，并证明BDIM是一致的，相对于核宽度获得了二阶收敛，并且相对于网格和边界对齐具有鲁棒性。推导了无滑动和自由滑动边界条件的公式，并获得了通过圆柱体的流动以及钝体通过自由表面的冲击的数值结果。 BDIM预测与分析，实验和先前的数值结果进行了比较，确认了笛卡尔网格方法的这种新边界处理的特性，效率和功效。

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