Yakhot Alexander, Grinberg Leopold, Nikitin Nikolai
Department of Mechanical Engineering, The Pearlstone Center for Aeronautical Engineering Studies, Ben-Gurion University of the Negev, Beersheva 84105, Israel.
J Biomech. 2005 May;38(5):1115-27. doi: 10.1016/j.jbiomech.2004.05.024.
A pulsatile laminar flow of a viscous, incompressible fluid through a stenosed artery was simulated by an immersed-boundary method. The method allows the use of a simple (rectangular) computational domain in order to simulate a flow around a complex geometry obstacle with surface irregularities (roughness). The influence of the shape and the surface roughness on the flow resistance was explored. The obtained numerical results were validated by comparison with published experimental and numerical results. We show that the surface irregularities have no significant influence on the flow resistance across an obstacle for a physiological range of Reynolds numbers. Notwithstanding, an accurate representation of irregularities allows investigation of the near-wall effects of a realistic flow such as fluid recirculation. We show that a detailed study of flow patterns in the immediate vicinity of the irregular surface can be performed using the immersed boundary method.
采用浸入边界法模拟了粘性不可压缩流体通过狭窄动脉的脉动层流。该方法允许使用简单（矩形）计算域，以便模拟具有表面不规则性（粗糙度）的复杂几何形状障碍物周围的流动。探讨了形状和表面粗糙度对流动阻力的影响。通过与已发表的实验和数值结果进行比较，验证了所获得的数值结果。我们表明，对于生理范围内的雷诺数，表面不规则性对跨越障碍物的流动阻力没有显著影响。尽管如此，对不规则性的精确表示允许研究实际流动的近壁效应，如流体回流。我们表明，使用浸入边界法可以对不规则表面紧邻区域的流动模式进行详细研究。
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