Extraction of Lagrangian Coherent Structures in the framework of the Lagrangian–Eulerian Stabilized Collocation Method (LESCM)

Qian, Zhihao; Liu, Moubin; Wang, Lihua; Zhang, Chuanzeng

doi:10.1016/j.cma.2023.116372

Computer Methods in Applied Mechanics and Engineering

2023

DOI: 10.1016/j.cma.2023.116372

|View full text |Cite

Extraction of Lagrangian Coherent Structures in the framework of the Lagrangian–Eulerian Stabilized Collocation Method (LESCM)

Zhihao Qian,

Moubin Liu,

Lihua Wang

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article5

Relationship

Self Cite1

Independent4

Authors

Journals

Cited by 9 publications

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

An efficient and accurate parameter identification scheme for inverse Helmholtz problems using SLICM

Qian,

Hu,

Wang

et al. 2024

Comput Mech

View full text Add to dashboard Cite

An efficient and accurate parameter identification scheme for inverse Helmholtz problems using SLICM

Qian,

Hu,

Wang

et al. 2024

Comput Mech

View full text Add to dashboard Cite

An improved incompressible SPH with unified semi-analytical wall boundary conditions for free surface flow

Ruan,

Wang,

Zhou

2024

Acta Mech

View full text Add to dashboard Cite

An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering

Qian,

Yang,

Liu

2024

J. Marine. Sci. Appl.

Self Cite

View full text Add to dashboard Cite

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.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Extraction of Lagrangian Coherent Structures in the framework of the Lagrangian–Eulerian Stabilized Collocation Method (LESCM)

Cited by 9 publications

References 61 publications

An efficient and accurate parameter identification scheme for inverse Helmholtz problems using SLICM

An efficient and accurate parameter identification scheme for inverse Helmholtz problems using SLICM

An improved incompressible SPH with unified semi-analytical wall boundary conditions for free surface flow

An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering

Contact Info

Product

Resources

About