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One-fluid formulation for fluid-structure interaction with free surface

机译:用于与自由表面的流体-结构相互作用的单流体配方

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A simple and efficient computational framework is presented for the simulation of fluid-structure interaction problems involving rigid body and multiphase flows in the context of hydrodynamics. Unlike existing publications, this method does not solve the general motion of rigid bodies in the Lagrangian form of Newton's law. Derived from the distributed Lagrange multiplier treatment of the rigid body, a new set of governing equations is presented on the fully Eulerian one-fluid formulation. To solve the problem numerically, the complex problem is separated into three parts: balance of the momentum and mass (dynamic problem), evolving of the Heaviside function by the external velocity (geometric problem) and rigid motion projection (kinematic problem). The conservation of mass and momentum is guaranteed by the multiphase fluid solver. The water, air and structure coupling is accomplished by the smeared interface. A new way of initialisation and convection of the rigid Heaviside function is designed for an arbitrary shape. To deal with rigid velocity vector, a linear least square method is proposed. The excellent agreement between the numerical experiment and the reference data from experiments demonstrate the validity and applicability of the new methodology (C) 2017 Elsevier B.V. All rights reserved.
机译:提出了一种简单有效的计算框架,用于在流体力学的情况下模拟涉及刚体和多相流的流固耦合问题。与现有出版物不同,此方法不能解决牛顿定律的拉格朗日形式的刚体的一般运动。从刚体的分布式拉格朗日乘数处理得出,在完全欧拉单流体公式上提出了一组新的控制方程。为了从数值上解决问题,将复杂的问题分为三个部分:动量和质量的平衡(动力学问题),外部速度对Heaviside函数的演化(几何问题)和刚性运动投影(运动学问题)。多相流体求解器保证了质量和动量的守恒。水,空气和结构的耦合是通过涂抹界面实现的。刚性Heaviside函数的初始化和对流的新方法设计用于任意形状。为了处理刚性速度矢量,提出了线性最小二乘法。数值实验与实验参考数据之间的极佳一致性证明了新方法学(C)2017 Elsevier B.V.的有效性和适用性。保留所有权利。

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