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.

中文翻译：

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通过将周动力学与更新的拉格朗日粒子流体动力学耦合而对冰水相互作用进行建模和仿真

在这项工作中，建立了基于键的固体周围动力学模型和更新的流体拉格朗日粒子流体动力学（ULPH）模型之间的耦合方法，以模拟冰与海水之间的相互作用。ULPH（Tu和Li，J Comput Phys 348：495–513，2017年）是使用非局部微分算子对牛顿流体的Navier-Stokes方程建模的最新进展，具有保持与偏微分一致的优点。梯度插值中的方程和二阶精度。另一方面，我们通过使用基于键的蠕变动力学对冰状材料进行建模，该动力学基于积分微分方程而不是偏微分方程来表示运动方程。出于演示目的，给出了一个刚性球撞击漂浮在平静水中的冰盘的数值解。获得的结果表明了该方法的多功能性和准确性。