An SPH study of driven turbulence near a free surface in a tank under gravity

Monaghan, J. J.; Meriaux, Catherine Anne Marie Dominique

doi:10.1016/j.euromechflu.2017.12.008

Cited by 12 publications

(5 citation statements)

References 25 publications

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“…The governing motion can be described by the flowing control equations [28]

\frac{normald ρ}{normald t} = - ρ \nabla \cdot v,

\frac{normald v}{normald t} = - \frac{1}{ρ} \nabla ρ + \frac{μ}{ρ} \nabla^{2} v + g + \frac{1}{ρ} \nabla false(ρ R false),

where

ρ

is the fluid density,

bold-italicv

is the velocity vector, P is pressure,

μ

is the dynamic viscosity,

bold-italicg

is the gravitational acceleration, and

bold-italicR

is the Reynolds stress tensor. To solve the equations of motion, an artificial compressibility technique is used, and the artificial equation of state [29] can be described as

P = C_{0}^{2} false(ρ - ρ_{0} false),

where

ρ_{0}

is the initial density of the water,

C_{0}

is the virtual sound speed.…”

Section: Sph Methodologymentioning

confidence: 99%

Numerical simulation of fluid–structure interaction with SPH method

Shao

2020

J. eng.

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“…The governing motion can be described by the flowing control equations [28]

\frac{normald ρ}{normald t} = - ρ \nabla \cdot v,

\frac{normald v}{normald t} = - \frac{1}{ρ} \nabla ρ + \frac{μ}{ρ} \nabla^{2} v + g + \frac{1}{ρ} \nabla false(ρ R false),

where

ρ

is the fluid density,

bold-italicv

is the velocity vector, P is pressure,

μ

is the dynamic viscosity,

bold-italicg

is the gravitational acceleration, and

bold-italicR

is the Reynolds stress tensor. To solve the equations of motion, an artificial compressibility technique is used, and the artificial equation of state [29] can be described as

P = C_{0}^{2} false(ρ - ρ_{0} false),

where

ρ_{0}

is the initial density of the water,

C_{0}

is the virtual sound speed.…”

Section: Sph Methodologymentioning

confidence: 99%

Numerical simulation of fluid–structure interaction with SPH method

Shao

2020

J. eng.

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“…This approach offers an attractive particle-based model of turbulence that is shown to recover energy spectra well. Furthermore, the Lagrangian nature of the particles means the approach is well suited to the study of turbulent mixing and free-surface turbulent flows characterized by very large free-surface deformation [75].…”

Section: Viscosity and Turbulencementioning

confidence: 99%

Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling

2020

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This paper presents a review of the progress of smoothed particle hydrodynamics (SPH) towards high-order converged simulations. As a mesh-free Lagrangian method suitable for complex flows with interfaces and multiple phases, SPH has developed considerably in the past decade. While original applications were in astrophysics, early engineering applications showed the versatility and robustness of the method without emphasis on accuracy and convergence. The early method was of weakly compressible form resulting in noisy pressures due to spurious pressure waves. This was effectively removed in the incompressible (divergence-free) form which followed; since then the weakly compressible form has been advanced, reducing pressure noise. Now numerical convergence studies are standard. While the method is computationally demanding on conventional processors, it is well suited to parallel processing on massively parallel computing and graphics processing units. Applications are diverse and encompass wave–structure interaction, geophysical flows due to landslides, nuclear sludge flows, welding, gearbox flows and many others. In the state of the art, convergence is typically between the first- and second-order theoretical limits. Recent advances are improving convergence to fourth order (and higher) and these will also be outlined. This can be necessary to resolve multi-scale aspects of turbulent flow.

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“…Despite that, the flow behaviour was modelled as laminar, due to the current ABAQUS SPH implementation that does not include turbulence models. Such models may become available in the SPH formulation in the future which may provide more realistic hemodynamics [41] . Therefore the turbulent pattern of the MV regurgitant jet could only be hypothesised.…”

Section: Article In Pressmentioning

confidence: 99%

A workflow for patient-specific fluid–structure interaction analysis of the mitral valve: A proof of concept on a mitral regurgitation case

Biffi

Gritti

Grasso

et al. 2019

Medical Engineering & Physics

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The mechanics of the mitral valve (MV) are the result of the interaction of different anatomical structures complexly arranged within the left heart (LH), with the blood flow. MV structure abnormalities might cause valve regurgitation which in turn can lead to heart failure. Patient-specific computational models of the MV could provide a personalised understanding of MV mechanics, dysfunctions and possible interventions. In this study, we propose a semi-automatic pipeline for MV modelling based on the integration of state-of-the-art medical imaging, i.e. cardiac magnetic resonance (CMR) and 3D transoesophagealechocardiogram (TOE) with fluid-structure interaction (FSI) simulations. An FSI model of a patient with MV regurgitation was implemented using the finite element (FE) method and smoothed particle hydrodynamics (SPH). Our study showed the feasibility of combining image information and computer simulations to reproduce patient-specific MV mechanics as seen on medical images, and the potential for efficient in-silico studies of MV disease, personalised treatments and device design.

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An SPH study of driven turbulence near a free surface in a tank under gravity

Cited by 12 publications

References 25 publications

Numerical simulation of fluid–structure interaction with SPH method

Numerical simulation of fluid–structure interaction with SPH method

Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling

A workflow for patient-specific fluid–structure interaction analysis of the mitral valve: A proof of concept on a mitral regurgitation case

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