A Reconciliation of Viscous and Inviscid Approaches to Computing Locomotion of Deforming Bodies
A Reconciliation of Viscous and Inviscid Approaches to Computing Locomotion of Deforming Bodies
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DOI：
10.1007/s11340-009-9275-0
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发表时间：
2010-11-01
影响因子：
2.4
通讯作者：
Eldredge, J. D.
中科院分区：
文献类型：
--
作者：
Eldredge, J. D.
本文提出了一种生物运动问题中流体动力学和体动力学耦合解的公式。该公式将中高雷诺数下的处理与相应的无粘问题统一起来。通过对Navier-Stokes方程的粘性分裂，将流体的惯性力与粘性力区分开来，并将惯性力进一步分解为无旋流体中物体运动和等效静止物体周围流体涡量的贡献。特别是，流体的附加质量与物体的固有惯性相结合，以允许模拟任意质量的物体，包括无质量或中性浮力物体。由此得到的动力学方程可以潜在地阐明涡量在运动中的作用，以及真实的和理想流体中运动的根本区别。
We present a formulation for coupled solutions of fluid and body dynamics in problems of biolocomotion. This formulation unifies the treatment at moderate to high Reynolds number with the corresponding inviscid problem. By a viscous splitting of the Navier-Stokes equations, inertial forces from the fluid are distinguished from the viscous forces, and the former are further decomposed into contributions from body motion in irrotational fluid and ambient fluid vorticity about an equivalent stationary body. In particular, the added mass of the fluid is combined with the intrinsic inertia of the body to allow for simulations of bodies of arbitrary mass, including massless or neutrally buoyant bodies. The resulting dynamical equations can potentially illuminate the role of vorticity in locomotion, and the fundamental differences of locomotion in real and perfect fluids.