耦合拉格朗日-欧拉方法及其在海洋工程中的应用  

An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering

作　　者：钱志浩 杨腾茂 刘谋斌 Zhihao Qian;Tengmao Yang;Moubin Liu(College of Engineering,Peking University,Beijing 100871,China;Joint Laboratory of Marine Hydrodynamics and Ocean Engineering,Laoshan Laboratory,Qingdao 266237,China)

机构地区：[1]College of Engineering,Peking University,Beijing 100871,China [2]Joint Laboratory of Marine Hydrodynamics and Ocean Engineering,Laoshan Laboratory,Qingdao 266237,China

出　　处：《哈尔滨工程大学学报（英文版）》2024年第2期366-397,共32页Journal of Marine Science and Application

基　　金：the support received from the Laoshan Laboratory(No.LSKJ202202000);the National Natural Science Foundation of China(Grant Nos.12032002,U22A20256,and 12302253);the Natural Science Foundation of Beijing(No.L212023)for partially funding this work.

摘　　要：Combining the strengths of Lagrangian and Eulerian descriptions,the coupled Lagrangian–Eulerian methods play an increasingly important role in various subjects.This work reviews their development and application in ocean engineering.Initially,we briefly outline the advantages and disadvantages of the Lagrangian and Eulerian descriptions and the main characteristics of the coupled Lagrangian–Eulerian approach.Then,following the developmental trajectory of these methods,the fundamental formulations and the frameworks of various approaches,including the arbitrary Lagrangian–Eulerian finite element method,the particle-in-cell method,the material point method,and the recently developed Lagrangian–Eulerian stabilized collocation method,are detailedly reviewed.In addition,the article reviews the research progress of these methods with applications in ocean hydrodynamics,focusing on free surface flows,numerical wave generation,wave overturning and breaking,interactions between waves and coastal structures,fluid–rigid body interactions,fluid–elastic body interactions,multiphase flow problems and visualization of ocean flows,etc.Furthermore,the latest research advancements in the numerical stability,accuracy,efficiency,and consistency of the coupled Lagrangian–Eulerian particle methods are reviewed;these advancements enable efficient and highly accurate simulation of complicated multiphysics problems in ocean and coastal engineering.By building on these works,the current challenges and future directions of the hybrid Lagrangian–Eulerian particle methods are summarized.

关 键 词：Coupled Lagrangian–Eulerian description Ocean engineering Wave–structure interaction Particle methods Arbitrary Lagrangian–Eulerian(ALE)methods Particle-in-cell(PIC) Material point method(MPM) Lagrangian–Eulerian stabilized collocation method(LESCM) 

分 类 号：P75[天文地球—海洋科学]