☆ 4.1 Review

Overview of Moving Particle Semi-implicit Techniques for Hydrodynamic Problems in Ocean Engineering

JOURNAL OF MARINE SCIENCE AND APPLICATION (2022)

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Article Nuclear Science & Technology

A multiphase MPS method coupling fluid-solid interaction/phase-change models with application to debris remelting in reactor lower plenum

Guangtao Duan et al.

Summary: The study investigates the occurrence of local hot spots and RPV breach patterns during debris melting using the MPS method. It is found that large debris blocks may cause severe local hot spots and a lower breach point, while high decay power can result in the migration of local hot spots and limited ablation near the RPV wall.

ANNALS OF NUCLEAR ENERGY (2022)

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Article Engineering, Ocean

Comparison of MPS and SPH methods for solving forced motion ship flooding problems

Hirotada Hashimoto et al.

Summary: This study evaluates the application of particle methods in simulating complex ship flooding problems, finding that both MPS and SPH methods have similar capabilities in simulating flooding flows and are in good agreement with experimental results. Additionally, the handling of air modeling also affects the results.

APPLIED OCEAN RESEARCH (2022)

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Article Engineering, Mechanical

A numerical study on sloshing mitigation by vertical floating rigid baffle

Cezar Augusto Bellezi et al.

Summary: Sloshing in partially filled tanks is an important phenomenon for the design of offshore structures, and this study focused on the numerical investigation of sloshing mitigation devices based on a floating baffle. The effects of fixed baffles and floating baffles on sloshing were analyzed, and it was found that fixed baffles could mitigate resonant frequencies under certain filling conditions but might lead to more violent flows under other conditions, while floating baffles provided sloshing mitigation for a larger range of filling conditions.

JOURNAL OF FLUIDS AND STRUCTURES (2022)

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Article Engineering, Geological

SPH-DEM coupling method based on GPU and its application to the landslide tsunami. Part II: reproduction of the Vajont landslide tsunami

Wen-Jie Xu et al.

Summary: The study successfully simulated the tsunami induced by the 1963 Vajont landslide using the coupled SPH-DEM method, revealing that the right bank slope serves as the major spillway for the flood at the dam, and the left abutment suffers damage due to the mixture flow. The findings contribute to the analysis and research on landslide tsunamis.

ACTA GEOTECHNICA (2022)

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Article Engineering, Geological

SPH-DEM coupling method based on GPU and its application to the landslide tsunami. Part I: method and validation

Qian Zhou et al.

Summary: The study developed a SPH-Dem method-based coupled simulation code and verified its accuracy through a series of tests. The research showed that the diffusion term value, particle resolution, and smoothing length are crucial for the accuracy of SPH simulation results. Additionally, the ratio of SPH particle size to DEM particle diameter influences the accuracy of fluid-solid coupling simulation.

ACTA GEOTECHNICA (2022)

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Article Mechanics

Numerical simulations of sloshing waves in vertically excited square tank by improved MPS method

Guan-yu Zhang et al.

Summary: This paper numerically simulates the phenomenon of Faraday wave in a pure heave excited square tank using the moving particle semi-implicit (MPS) method. The effects of surface tension and a new boundary condition are considered in the simulation. The study observes the evolution, non-linearity, and breaking of the Faraday wave, and conducts parameter analysis to understand the mechanism of resonance response.

JOURNAL OF HYDRODYNAMICS (2022)

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Article Engineering, Marine

Application of multiphase Riemann-SPH in analysis of air-cushion effect and slamming load in water entry

Xiang-Li Fang et al.

Summary: This study analyzes the air-cushion effect and slamming load in water entry problems by applying a multiphase Riemann-SPH method with the PVRS Riemann solver. The accuracy and convergence of the method are validated through water slamming tests, and the influences of the air cushion and plate length on the slamming load are discussed. Finally, the impact velocity and deadrise angle are analyzed for their influences on slamming load characteristics in the simulation of the slamming of the LNG tank insulation panel.

OCEAN ENGINEERING (2022)

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Article Mathematics, Interdisciplinary Applications

Direct numerical simulation of atomization by jet impact using moving particle semi-implicit method with GPU acceleration

Shuai Zhang et al.

Summary: This study successfully simulated the impinging atomization of two jets using the GPU-accelerated MPS method and found that impinging velocity and angle greatly impact the atomization process. When the impinging momentum ratio and jet diameter ratio are not equal to 1.0, incomplete atomization occurs.

COMPUTATIONAL PARTICLE MECHANICS (2022)

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Article Engineering, Civil

Numerical investigation of sediment transport mechanism under breaking waves by DEM-MPS coupling scheme

Takumi Tazaki et al.

Summary: This article investigated the sediment transport mechanisms generated by vortices in the surf and swash zones. A numerical simulation method was used to study sediment transport, and the results revealed the contribution of vortices to sediment transport near the wave crest and explored the mechanisms at the individual sediment grain level.

COASTAL ENGINEERING (2022)

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Article Engineering, Marine

3D multi-resolution SPH modeling of the water entry dynamics of free-fall lifeboats

Hong-Guan Lyu et al.

Summary: This study investigates the water entry dynamics of a free-fall lifeboat with different water entry angles using a 3D and multi-resolution Smoothed Particle Hydrodynamics (SPH) model. The results show that the SPH model has satisfactory accuracy in predicting the water entry dynamics of a lifeboat and can better capture splashing jets and scattering droplets compared to mesh-based solvers. The study also highlights the significant effects of the water entry angle on the water entry dynamics of a lifeboat, emphasizing the importance of considering this factor in the design stage.

OCEAN ENGINEERING (2022)

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Article Mechanics

Moving Particle Semi-implicit method coupled with Finite Element Method for hydroelastic responses of floating structures in waves

Guanyu Zhang et al.

Summary: In this paper, the Moving Particle Semi-implicit (MPS) method and Finite Element Method (FEM) coupling computational method is applied to solve the problem of hydroelastic response of floating structures. The reliability of the method is verified through simulations of fluid-structure interaction (FSI) problems and the coupling of fluid and structure solver is also tested.

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS (2022)

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Article Mechanics

Multi-phase moving particle semi-implicit method for violent sloshing flows

Xiao Wen et al.

Summary: This study demonstrates the necessity of multi-phase simulations for representing violently sloshing liquid through a comparative analysis between single-phase and multi-phase MPS methods. The results show that as the intensity of sloshing increases, the accuracy of single-phase simulation significantly decreases, whereas the multi-phase simulation agrees well with experimental data.

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS (2022)

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Article Engineering, Civil

Vertical sorting process in oscillating water tank using DEM-MPS coupling model

Takumi Tazaki et al.

Summary: This study investigated the size sorting process in the swash zone through experiments and numerical simulations, revealing that vertical sorting in the zone leads to bed surface armoring and horizontal velocity transition. The inertia of the water surface gradient induced oscillations of sediment elements, causing frequent collisions and contacts among the elements.

COASTAL ENGINEERING (2021)

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Article Computer Science, Interdisciplinary Applications

Imposing accurate wall boundary conditions in corrective-matrix-based moving particle semi-implicit method for free surface flow

Guangtao Duan et al.

Summary: Corrective matrix schemes are used in the MPS method to improve the accuracy of internal particles, especially in dealing with errors caused by free surface and wall boundaries. New corrective schemes are developed for Neumann boundary conditions, but instability issues remain, requiring the use of existing stable schemes. By applying stable schemes to the free surface and nearby particles and new corrective schemes to particles under a stable transitional layer, accuracy can be significantly enhanced.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS (2021)

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Article Engineering, Ocean

Entirely Lagrangian meshfree computational methods for hydroelastic fluid-structure interactions in ocean engineering-Reliability, adaptivity and generality

Hitoshi Gotoh et al.

Summary: This paper reviews the latest advances in the development of entirely Lagrangian meshfree computational methods for hydroelastic fluid-structure interactions in ocean engineering, focusing on reliability, adaptivity, and generality. The authors discuss solutions such as stability, accuracy, adaptivity, and coupling with different types of structures to address key issues related to FSI.

APPLIED OCEAN RESEARCH (2021)

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Article Engineering, Ocean

An improved moving particle semi-implicit method for interfacial flows

Xiao Wen et al.

Summary: The improved moving particle semi-implicit (IMPS) method is developed into a multiphase method with various models to simulate interfacial flows. The method shows stable and accurate results in capturing large interface deformations and reproducing phenomena like air entrapment and internal solitary waves. Results demonstrate low numerical diffusion and good energy conservation even after long-distance wave propagation.

APPLIED OCEAN RESEARCH (2021)

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Article Engineering, Ocean

Numerical simulation for coastal morphodynamics using DEM-MPS method

Eiji Harada et al.

Summary: Numerical simulations were conducted for morphodynamics with free water surface fluctuation using the DEMMPS method, demonstrating the reproducibility of the process of swash ripple formation in a mixed grain bed. It was found that ripple formation with coarse-grained particles can activate momentum exchange in the surface layer of the movable bed.

APPLIED OCEAN RESEARCH (2021)

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Article Engineering, Multidisciplinary

A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures

Abbas Khayyer et al.

Summary: This paper presents a fully Lagrangian meshfree projection-based hydroelastic FSI solver within the SPH framework for simulating incompressible fluid flows interacting with laminated composite elastic structures. The solver utilizes an enhanced version of Incompressible SPH for fluids and a structure model in the context of Hamiltonian SPH for laminated composite elastic structures. The solver demonstrates superior performance without artificial stabilizers or smoothing of material properties at material interfaces, and its potential applicability for practical engineering applications is highlighted through challenging simulations.

APPLIED MATHEMATICAL MODELLING (2021)

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Article Engineering, Multidisciplinary

Development of adaptive multi-resolution MPS method for multiphase flow simulation

Xiaoxing Liu et al.

Summary: An adaptive multi-resolution moving particle semi-implicit (MPS) method was developed for efficient and accurate multiphase flow simulation, utilizing a least-square MPS (LSMPS) scheme for high-order accurate operator discretization. The method includes adaptive particle splitting and merging near the interface of multiphase flow, providing high-order interpolation during the process. The accuracy and efficiency of the method were demonstrated through numerical simulations.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

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Article Mechanics

Numerical simulations of multi-layer-liquid sloshing by multiphase MPS method

Xiao Wen et al.

Summary: In this paper, a multiphase moving particle semi-implicit (MPS) method is developed by introducing various multiphase models. The method is applied to numerical simulations of liquid sloshing and the results are validated with good agreement. The study shows that phase interfaces may undergo complex deformations while the free surface remains relatively calm.

JOURNAL OF HYDRODYNAMICS (2021)

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Article Engineering, Environmental

A fully Lagrangian DEM-MPS mesh-free model for ice-wave dynamics

Rubens Augusto Amaro Junior et al.

Summary: This paper introduces a novel three-dimensional fully Lagrangian numerical model for modeling highly dynamic ice-wave interactions, utilizing a hybrid of discrete element method and moving particle semi-implicit mesh-free techniques. The model considers ice-wave dynamics as a multiphase continuum-discrete system, predicting the motion and collision of ice floes as well as their interactions with water, boundaries, and obstacles. It has the inherent ability to predict the free-drift movements of ice floes, showing promising results in reproducing and predicting complex three-dimensional dynamic behavior in wave-ice floes interactions.

COLD REGIONS SCIENCE AND TECHNOLOGY (2021)

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Article Engineering, Marine

A multiphase MPS method for bubbly flows with complex interfaces

Xiao Wen et al.

Summary: This paper presents a numerical simulation of bubbly flows using the moving particle semi-implicit (MPS) method to tackle the challenges posed by complex interfaces in violent bubbly flows. By validating and comparing various models, the effectiveness and advantages of the multiphase MPS method are demonstrated.

OCEAN ENGINEERING (2021)

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Article Engineering, Marine

Study on the wedge penetrating fluid interfaces characterized by different density-ratios: Numerical investigations with a multi-phase SPH model

Hong-Guan Lyu et al.

Summary: This paper investigates water entry problems of a wedge with different density ratios using multi-phase Smoothed Particle Hydrodynamics (SPH) simulations. The accuracy and stability of the SPH model is validated through simulations of classical water entry processes, and the mechanisms of cavity behaviors for different density-ratios are discussed. The study demonstrates that cavity evolutions and motion characteristics of the wedge during penetrating are significantly affected by density-ratios, and suggests that the presented multi-phase SPH model with Adaptive Particle Refinement (APR) can serve as a reliable numerical tool for solving problems involving complex fluid interfaces.

OCEAN ENGINEERING (2021)

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Article Engineering, Marine

An accurate FSI-SPH modeling of challenging fluid-structure interaction problems in two and three dimensions

Peng-Nan Sun et al.

Summary: The newly developed FSI-SPH model combines advanced numerical techniques to simulate complex 3D fluid-structure interaction problems by refining particles for increased local accuracy, reducing overall computational costs, and preventing flow voids. This model has made significant progress in terms of numerical accuracy, stability, and efficiency.

OCEAN ENGINEERING (2021)

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Article Mechanics

An improved higher-order moving particle semi-implicit method for simulations of two-dimensional hydroelastic slamming

Ruosi Zha et al.

Summary: An improved higher-order moving particle semi-implicit (MPS) method was developed to solve fluid-structure interaction problem of an elastic wedge entering calm water. The method showed better agreement with experimental data and reduced oscillations in numerical solutions. Validation studies were carried out on different wedge shapes and speeds.

PHYSICS OF FLUIDS (2021)

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Article Engineering, Civil

Development of Wavy Interface model for wave generation by the projection-based particle methods

Naoki Tsuruta et al.

Summary: This paper introduces a novel wave boundary model, WI, for particle methods that directly models target wave fronts without the need for a usual tuning process. The Wavy Interface model shows good reproducibility in benchmarks targeting regular, irregular, and solitary waves, and demonstrates good conservation of water level in simulations of overtopping waves. WI is shown to be a proper wave generation model with precise wave generation capabilities and significantly reduced CPU time compared to conventional models.

COASTAL ENGINEERING (2021)

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Article Engineering, Multidisciplinary

A generic smoothed wall boundary in multi-resolution particle method for fluid-structure interaction problem

Yijie Sun et al.

Summary: In this paper, a generic smoothed wall (GSW) boundary model is proposed to accurately handle complex geometric boundaries and multiple particle size problems. By using single layer particles and transforming the boundary weight function into a distance function, the GSW boundary model fills the vacancy of the particle number density of fluid particles. The GSW boundary model can be effectively applied in static, moving, and non-linear deforming wall conditions, and performs well when combined with multi-resolution methods.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2021)

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Article Engineering, Marine

Multi-resolution ISPH-SPH for accurate and efficient simulation of hydroelastic fluid-structure interactions in ocean engineering

Abbas Khayyer et al.

Summary: A multi-resolution fully Lagrangian meshfree hydroelastic FSI solver based on SPH has been developed for accurate and adaptive reproductions of ocean engineering problems. The solver includes a consistent fluid-structure coupling scheme and a novel multi-resolution scheme incorporating a common influence length, a modified SPH density definition and a SPH-based formulated SPP scheme to achieve precise satisfaction of fluid-structure interface boundary conditions and accurate volume conservation at the interface. Validation includes reproductions of classical and ocean engineering benchmark tests, with comparisons made to other FSI solvers.

OCEAN ENGINEERING (2021)

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Article Water Resources

Enhanced weakly-compressible MPS method for immersed granular flows

Mojtaba Jandaghian et al.

Summary: The study presents a three-dimensional particle method based on an Enhanced Weakly-Compressible MPS approach for modeling immersed dense granular flows. By using a generalized rheological model and introducing a modified high-order diffusive term, the accuracy of the multiphase particle methods is improved, and experimental validation is conducted.

ADVANCES IN WATER RESOURCES (2021)

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Article Engineering, Ocean

Particle methods in ocean and coastal engineering

Min Luo et al.

Summary: This paper provides a state-of-the-art review on the applications of particle methods in hydrodynamics-related problems in ocean and coastal engineering, covering wave hydrodynamics, wave-structure interactions, and wave-current-sediment interactions. The focus is on the latest advancements in enhancing numerical stability, accuracy, efficiency, and consistency in particle methods, as well as the potential future extensions of these methods to a wider range of applications in ocean and coastal engineering.

APPLIED OCEAN RESEARCH (2021)

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Article Engineering, Ocean

Numerical simulations of liquid-solid flows with free surface by coupling IMPS and DEM

Fengze Xie et al.

Summary: A self-developed solver based on a fully Lagrangian coupled method was developed to solve liquid-solid two-phase flow problems, using the IMPS and DEM method with a multiple time-step algorithm to maintain stability and efficiency.

APPLIED OCEAN RESEARCH (2021)

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Article Engineering, Mechanical

A 3D Lagrangian meshfree projection-based solver for hydroelastic Fluid-Structure Interactions

Abbas Khayyer et al.

Summary: This paper introduces a 3D Lagrangian meshfree solver for fluid-structure interactions, which combines the MPS and HMPS models and verifies its stability, accuracy, convergence, and conservation properties through multiple benchmark tests. The adaptivity of the proposed solver is also demonstrated through a multi-resolution scheme.

JOURNAL OF FLUIDS AND STRUCTURES (2021)

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Article Engineering, Marine

MPS-DEM coupling method for interaction between fluid and thin elastic structures

Fengze Xie et al.

Summary: A solver MPSDEM-SJTU is developed in this study based on the improved MPS method and DEM, for simulating fluid movement and structural dynamic responses. A simple coupling scheme is proposed for information exchange, enhancing computation efficiency. Additionally, a Partition Technique is developed to prevent misjudgment of neighboring particles near thin structures.

OCEAN ENGINEERING (2021)

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Article Engineering, Marine

Hybrid SW-NS SPH models using open boundary conditions for simulation of free-surface flows

Xingye Ni et al.

OCEAN ENGINEERING (2020)

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A review on MPS method developments and applications in nuclear engineering

Gen Li et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2020)

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Numerically simulated flooding of a freely-floating two-dimensional damaged ship section using an improved MPS method

Guiyong Zhang et al.

APPLIED OCEAN RESEARCH (2020)

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CFD simulations of three-dimensional violent sloshing flows in tanks based on MPS and GPU

Feng-ze Xie et al.

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A numerical study of the effects of bottom and sidewall stiffeners on sloshing behavior considering roll resonant motion

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An incompressible-compressible Lagrangian particle method for bubble flows with a sharp density jump and boiling phase change

Guangtao Duan et al.

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MPS-FEM Coupled Method for Fluid-Structure Interaction in 3D Dam-Break Flows

Youlin Zhang et al.

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS (2019)

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Enhancement of stabilization of MPS to arbitrary geometries with a generic wall boundary condition

Tiangang Zhang et al.

COMPUTERS & FLUIDS (2019)

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Numerical Simulation of Three-Dimensional Violent Free Surface Flows by GPU-Based MPS Method

Xiang Chen et al.

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Improved Moving Particle Semi-implicit method for multiphase flow with discontinuity

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Numerical simulation for sediment transport using MPS-DEM coupling model

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Implementation of the moving particle semi-implicit method for free-surface flows on GPU clusters

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Study on wave-induced kinematic responses and flexures of ice floe by Smoothed Particle Hydrodynamics

Ningbo Zhang et al.

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Study of a complex fluid-structure dam-breaking benchmark problem using a multi-phase SPH method with APR

P. N. Sun et al.

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Modeling impact pressure on the surface of porous structure by macroscopic mesh-free method

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The truncation and stabilization error in multiphase moving particle semi-implicit method based on corrective matrix: Which is dominant?

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Modeling 3D non-Newtonian solid-liquid flows with a free-surface using DEM-MPS

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Numerical Study of 3-D Liquid Sloshing in an Elastic Tank by MPS-FEM Coupled Method

Xiang Chen et al.

JOURNAL OF SHIP RESEARCH (2019)

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Potential application of submerged horizontal plate as a wave energy breakwater: A 2D study using the WCSPH method

Ming He et al.

OCEAN ENGINEERING (2019)

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A fully Lagrangian method for fluid-structure interaction problems with deformable floating structure

Yijie Sun et al.

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Multi-resolution MPS for incompressible fluid-elastic structure interactions in ocean engineering

Abbas Khayyer et al.

APPLIED OCEAN RESEARCH (2019)

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A projection-based particle method with optimized particle shifting for multiphase flows with large density ratios and discontinuous density fields

Abbas Khayyer et al.

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Improved particle shifting technology and optimized free-surface detection method for free-surface flows in smoothed particle hydrodynamics

Ping-Ping Wang et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2019)

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GPU accelerated MPS method for large-scale 3-D violent free surface flows

Xiang Chen et al.

OCEAN ENGINEERING (2019)

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Development of a projection-based SPH method for numerical wave flume with porous media of variable porosity

Abbas Khayyer et al.

COASTAL ENGINEERING (2018)

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An advanced moving particle semi-implicit method for accurate and stable simulation of incompressible flows

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2018)

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Meshfree particle numerical modelling of sub-aerial and submerged landslides

M. Tajnesaie et al.

COMPUTERS & FLUIDS (2018)

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An MPS-based particle method for simulation of multiphase flows characterized by high density ratios by incorporation of space potential particle concept

Yuma Shimizu et al.

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An accurate and stable multiphase moving particle semi-implicit method based on a corrective matrix for all particle interaction models

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Multi-resolution MPS method

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Numerical study of the wave-induced slamming force on the elastic plate based on MPS-FEM coupled method

Cheng-ping Rao et al.

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Towards development of enhanced fully-Lagrangian mesh-free computational methods for fluid-structure interaction

Abbas Khayyer et al.

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MPS-FEM coupled method for sloshing flows in an elastic tank

Youlin Zhang et al.

OCEAN ENGINEERING (2018)

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A SPH numerical wave flume with non-reflective open boundary conditions

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An improved Multiphase Moving Particle Semi-implicit method in bubble rising simulations with large density ratios

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A numerical study of violent sloshing problems with modified MPS method

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Numerical Modelling of Free-Surface Flow-Porous Media Interaction Using Divergence-Free Moving Particle Semi-Implicit Method

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Numerical study of interactions between waves and free rolling body by IMPS method

Youlin Zhang et al.

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An efficient FSI coupling strategy between Smoothed Particle Hydrodynamics and Finite Element methods

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A multiphase MPS solver for modeling multi-fluid interaction with free surface and its application in oil spill

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)

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Stable multiphase moving particle semi-implicit method for incompressible interfacial flow

Guangtao Duan et al.

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Improved SPH simulation of wave motions and turbulent flows through porous media

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A domain decomposition strategy for hybrid parallelization of moving particle semi-implicit (MPS) method for computer cluster

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Investigation of non-deformable and deformable landslides using meshfree method

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A Lagrangian-Lagrangian coupled method for three-dimensional solid-liquid flows involving free surfaces in a rotating cylindrical tank

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Comparative study of MPS method and level-set method for sloshing flows

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Numerical simulation of the flow around a planing body by MPS method

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A 3D higher order Laplacian model for enhancement and stabilization of pressure calculation in 3D MPS-based simulations

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Numerical simulation of sloshing with large deforming free surface by MPS-LES method

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Incompressible smoothed particle hydrodynamics for free-surface flows: A generalised diffusion-based algorithm for stability and validations for impulsive flows and propagating waves

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Lagrangian simulations of ship-wave interactions in rough seas

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Coupling of rigid body dynamics and moving particle semi-implicit method for simulating isothermal multi-phase fluid interactions

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Step-by-step improvement of MPS method in simulating violent free-surface motions and impact-loads

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Enhancement of stability and accuracy of the moving particle semi-implicit method

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A higher order Laplacian model for enhancement and stabilization of pressure calculation by the MPS method

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Fast free-surface detection and level-set function definition in SPH solvers

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Stabilization and smoothing of pressure in MPS method by Quasi-Compressibility

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Enhanced predictions of wave impact pressure by improved incompressible SPH methods

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Modified Moving Particle Semi-implicit methods for the prediction of 2D wave impact pressure

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SPH particle boundary forces for arbitrary boundaries

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A new 3D parallel SPH scheme for free surface flows

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Permeable and non-reflecting boundary conditions in SPH

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Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach

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Numerical simulation on void bubble dynamics using moving particle semi-implicit method

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Corrected Incompressible SPH method for accurate water-surface tracking in breaking waves

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Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method

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DEVELOPMENT OF CMPS METHOD FOR ACCURATE WATER-SURFACE TRACKING IN BREAKING WAVES

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Numerical simulation of viscous liquid sloshing by moving-particle semi-implicit method

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Fluid-shell structure interaction analysis by coupled particle and finite element method

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Numerical simulation of fluid-structure interaction by SPH

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A hybrid particle-mesh method for viscous, incompressible, multiphase flows

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Assessment of model formulations in the discrete particle simulation of gas-solid flow

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Numerical simulation of interfacial flows by smoothed particle hydrodynamics

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Numerical analysis of jet injection behavior for fuel-coolant interaction using particle method

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