Modeling and simulation of ice–water interactions by coupling peridynamics with updated Lagrangian particle hydrodynamics
Modeling and simulation of ice–water interactions by coupling peridynamics with updated Lagrangian particle hydrodynamics
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DOI：
10.1007/s40571-019-00268-7
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发表时间：
2019-07
影响因子：
3.3
通讯作者：
Renwei Liu;Jiale Yan;Shaofan Li
中科院分区：
文献类型：
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作者：
Renwei Liu;Jiale Yan;Shaofan Li
在这项工作中，发展了基于键的固体动力学模型和改进的拉格朗日粒子流体动力学(ULPH)模型之间的耦合方法来模拟冰与海水的相互作用。Ulph(Tu和Li在J Comput Phys 348：495-513,2017)是使用非局部微分算子来模拟牛顿流体的Navier-Stokes方程的最新发展，它具有保持与偏微分方程的一致性和空间梯度插值的二阶精度的优点。另一方面，我们用基于键的动力学来模拟类冰材料，它用积分-微分方程组而不是偏微分方程组来表示运动方程。为便于验证，给出了刚性球撞击静水中漂浮冰板的数值解。结果表明，该方法具有较强的通用性和准确性。
In this work, a coupling method between the bond-based peridynamics model for solids and the updated Lagrangian particle hydrodynamics (ULPH) model of fluids is developed to simulate interaction between ice and seawater. The ULPH (Tu and Li in J Comput Phys 348:495–513, 2017) is the latest development of using non-local differential operators to model Navier–Stokes equations of Newtonian fluids, which has the advantages to preserve the consistency with partial differential equations and second-order accuracy in spatial gradient interpolation. On the other hand, we model the ice-like materials by using the bond-based peridynamics, which formulates equations of motions in terms of integro-differential equations instead of partial differential equations. For demonstration purpose, the numerical solution of a rigid ball impacting an ice plate floating in calm water is presented. The results obtained have shown the versatility as well as the accuracy of the method.