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首页> 外文期刊>Ocean Engineering >A 3D parallel Particle-In-Cell solver for wave interaction with vertical cylinders
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A 3D parallel Particle-In-Cell solver for wave interaction with vertical cylinders

机译：用于与垂直圆柱体进行波相互作用的3D并行单元格内粒子求解器

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摘要

In this paper, the Particle-In-Cell (PIC) based PICIN solver is extended to three spatial dimensions and parallelised using the Message Passing Interface (MPI) approach. The PICIN solver employs both Eulerian grid and Lagrangian particles to solve the incompressible Navier-Stokes equations for free-surface flows. The particles are employed to carry all the fluid properties, solve the non-linear advection term and track the free-surface, while the grid is used solely for computational efficiency in solving the non-advection terms. Validation of the new 3D model concentrates on test cases involving multiple wave types (including regular waves, focused waves and solitary waves) interacting with vertical cylinders in several spatial configurations. The results are compared with laboratory data and numerical results from state-of-the-art Volume of Fluid (VOF) based Eulerian solvers such as those from the OpenFOAM (R) suite. It is shown that the 3D parallel PICIN model is able to well simulate highly non-linear water waves, and the interaction of such waves with vertical cylinders, with a CPU efficiency similar to Eulerian solvers. Moreover, the innovative use of particles in PICIN, akin to meshless Lagrangian solvers, gives the model a particular flexibility in handling complex, full 3D, water-wave scenarios involving large free-surface deformations.
机译：在本文中，基于质点（PIC）的PICIN求解器被扩展到三个空间维度，并使用消息传递接口（MPI）方法进行了并行化。 PICIN求解器同时使用欧拉网格和拉格朗日粒子，以求解不可压缩的Navier-Stokes方程组的自由表面流。粒子用于承载所有流体特性，求解非线性对流项并跟踪自由表面，而网格仅用于解决非对流项的计算效率。新3D模型的验证集中在涉及多个波类型（包括规则波，聚焦波和孤立波）的测试案例，这些波类型与垂直圆柱在几种空间配置中相互作用。将结果与实验室数据和基于最新的基于流体体积（VOF）的欧拉求解器（例如来自OpenFOAM（R）套件的）的数值进行比较。结果表明，3D并行PICIN模型能够很好地模拟高度非线性的水波，以及此类水波与垂直圆柱的相互作用，其CPU效率类似于欧拉求解器。而且，类似于无网格拉格朗日求解器，PICIN中粒子的创新使用为模型提供了特别的灵活性，可以处理复杂，完整的3D，水波场景，涉及大的自由表面变形。

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