Applications and Prospects of Smooth Particle Hydrodynamics in Tunnel and Underground Engineering

Smoothed particle hydrodynamics (SPH) is a state-of-the-art numerical simulation method in fluid mechanics. It is a novel approach for modeling and comprehending complex fluid behaviors. In contrast to traditional grid-dependent techniques like finite element and finite difference methods, SPH utili...

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Main Authors: Rong Fan, Tielin Chen, Man Li, Shunyu Wang
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/14/18/8552
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author Rong Fan
Tielin Chen
Man Li
Shunyu Wang
author_facet Rong Fan
Tielin Chen
Man Li
Shunyu Wang
author_sort Rong Fan
collection DOAJ
description Smoothed particle hydrodynamics (SPH) is a state-of-the-art numerical simulation method in fluid mechanics. It is a novel approach for modeling and comprehending complex fluid behaviors. In contrast to traditional grid-dependent techniques like finite element and finite difference methods, SPH utilizes a meshless, purely Lagrangian approach, offering significant advantages in fluid simulations. By leveraging a set of arbitrarily distributed particles to represent the continuous fluid medium, SPH enables the precise estimation of partial differential equations. This grid-free methodology effectively addresses many challenges associated with conventional methods, providing a more adaptable and efficient solution framework. SPH’s versatility is evident across a broad spectrum of applications, ranging from advanced computational fluid dynamics (CFD) to complex computational solid mechanics (CSM), and proves effective across various scales—from micro to macro and even astronomical phenomena. Although SPH excels in tackling problems involving multiple degrees of freedom, complex boundaries, and large discontinuous deformations, it is still in its developmental phase and has not yet been widely adopted. As such, a thorough understanding and systematic analysis of SPH’s foundational theories are critical. This paper offers a comprehensive review of the defining characteristics and theoretical foundations of the SPH method, supported by practical examples derived from the Navier–Stokes (N-S) equations. It also provides a critical examination of successful SPH applications across various fields. Additionally, the paper presents case studies of SPH’s application in tunnel and underground engineering based on practical engineering experiences and long-term on-site monitoring, highlighting SPH’s alignment with real-world conditions. The theory and application of SPH have thus emerged as highly dynamic and rapidly evolving research areas. The detailed theoretical analysis and case studies presented in this paper offer valuable insights and practical guidance for scholars and practitioners alike.
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spelling doaj-art-5dbfd94265b74e97aa2ed0df8a0cc1cc2025-08-20T01:55:58ZengMDPI AGApplied Sciences2076-34172024-09-011418855210.3390/app14188552Applications and Prospects of Smooth Particle Hydrodynamics in Tunnel and Underground EngineeringRong Fan0Tielin Chen1Man Li2Shunyu Wang3School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Civil Engineering, Beijing Jiaotong University, Beijing 100044, ChinaSmoothed particle hydrodynamics (SPH) is a state-of-the-art numerical simulation method in fluid mechanics. It is a novel approach for modeling and comprehending complex fluid behaviors. In contrast to traditional grid-dependent techniques like finite element and finite difference methods, SPH utilizes a meshless, purely Lagrangian approach, offering significant advantages in fluid simulations. By leveraging a set of arbitrarily distributed particles to represent the continuous fluid medium, SPH enables the precise estimation of partial differential equations. This grid-free methodology effectively addresses many challenges associated with conventional methods, providing a more adaptable and efficient solution framework. SPH’s versatility is evident across a broad spectrum of applications, ranging from advanced computational fluid dynamics (CFD) to complex computational solid mechanics (CSM), and proves effective across various scales—from micro to macro and even astronomical phenomena. Although SPH excels in tackling problems involving multiple degrees of freedom, complex boundaries, and large discontinuous deformations, it is still in its developmental phase and has not yet been widely adopted. As such, a thorough understanding and systematic analysis of SPH’s foundational theories are critical. This paper offers a comprehensive review of the defining characteristics and theoretical foundations of the SPH method, supported by practical examples derived from the Navier–Stokes (N-S) equations. It also provides a critical examination of successful SPH applications across various fields. Additionally, the paper presents case studies of SPH’s application in tunnel and underground engineering based on practical engineering experiences and long-term on-site monitoring, highlighting SPH’s alignment with real-world conditions. The theory and application of SPH have thus emerged as highly dynamic and rapidly evolving research areas. The detailed theoretical analysis and case studies presented in this paper offer valuable insights and practical guidance for scholars and practitioners alike.https://www.mdpi.com/2076-3417/14/18/8552smooth particle hydrodynamicscomputational fluid dynamicscomputational solid mechanicstunnel and underground engineering
spellingShingle Rong Fan
Tielin Chen
Man Li
Shunyu Wang
Applications and Prospects of Smooth Particle Hydrodynamics in Tunnel and Underground Engineering
Applied Sciences
smooth particle hydrodynamics
computational fluid dynamics
computational solid mechanics
tunnel and underground engineering
title Applications and Prospects of Smooth Particle Hydrodynamics in Tunnel and Underground Engineering
title_full Applications and Prospects of Smooth Particle Hydrodynamics in Tunnel and Underground Engineering
title_fullStr Applications and Prospects of Smooth Particle Hydrodynamics in Tunnel and Underground Engineering
title_full_unstemmed Applications and Prospects of Smooth Particle Hydrodynamics in Tunnel and Underground Engineering
title_short Applications and Prospects of Smooth Particle Hydrodynamics in Tunnel and Underground Engineering
title_sort applications and prospects of smooth particle hydrodynamics in tunnel and underground engineering
topic smooth particle hydrodynamics
computational fluid dynamics
computational solid mechanics
tunnel and underground engineering
url https://www.mdpi.com/2076-3417/14/18/8552
work_keys_str_mv AT rongfan applicationsandprospectsofsmoothparticlehydrodynamicsintunnelandundergroundengineering
AT tielinchen applicationsandprospectsofsmoothparticlehydrodynamicsintunnelandundergroundengineering
AT manli applicationsandprospectsofsmoothparticlehydrodynamicsintunnelandundergroundengineering
AT shunyuwang applicationsandprospectsofsmoothparticlehydrodynamicsintunnelandundergroundengineering