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Sharp interface immersed boundary method for simulating three-dimensional swimming fish

机译:尖锐的接口浸没边界法模拟三维泳鱼

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A second order finite-difference numerical method is used to solve the Navier–Stokes equations of incompressible flow, in which the solid body with complex geometry is immersed into the fluid domain with orthogonal Cartesian meshes. To account for influences of the solid body, interactive forces are applied as boundary conditions at Cartesian grid nodes located in the exterior but in the immediate vicinity of the solid body. Fluid flow velocities in these nodes are reconstructed to track and control the deformation of the solid body, in which the local direction normal to the body surface is employed using the level-set function. The capabilities of this method are demonstrated by the application to fish swimming, and the computed behaviors of swimming fish agree well with experimental ones. The results elucidate that the ability of swimming fish to produce more thrust and high efficiency is closely related to the Reynolds number. The single reverse Kármán street tends to appear when both the Strouhal number and tail-beating frequency are small, otherwise the double-row reverse Kármán street appears. The algorithm can capture the geometry of a deformable solid body accurately, and performs well in simulating interactions between fluid flow and the deforming and moving body.
机译:二阶有限差分数值方法用于解决不可压缩流动的Navier-Stokes方程,其中具有复杂几何形状的固体浸入具有正交笛卡尔网格的流体域中。为了考虑固体体的影响,将交互力应用于位于外部的笛卡尔网格节点的边界条件,而是在固体的立即附近。这些节点中的流体流速被重建以跟踪和控制固体的变形,其中使用电平集功能采用正常到主体表面的局部方向。该方法的能力由应用于鱼游泳的应用,并且游泳鱼的计算行为与实验性吻合得很好。结果阐明了游泳鱼以产生更多推力和高效率的能力与雷诺数密切相关。当Strouhal数和尾跳的频率都很小时,单个反向Kármán街往往会出现,否则出现双排反向Kármán街。该算法可以精确地捕获可变形实体主体的几何形状,并在模拟流体流动与变形和移动体之间的相互作用中进行良好。

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