A smoothed particle element method (SPEM) for modeling fluid–structure interaction problems with large fluid deformations

Zhang, Z.L.; Long, Ting; Chang, Jianzhong; Liu, Moubin

doi:10.1016/j.cma.2019.07.024

Cited by 61 publications

(16 citation statements)

References 53 publications

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“…The images show that the proposed method can capture the complex behavior of this unsteady problem, including the initial dam break, the large motion of the elastic membrane induced by the water impact force, and the huge water splashes forming after the impact to the retaining vertical wall. Results from the proposed method and other numerical strategies of the literature ( [17,24,37]). rst 0.5s of analysis there is a good agreement between the dierent methods, while, after 0.5s, a certain discrepancy of results is observed.…”

Section: Collapse Of Water Column Against An Elastic Structurementioning

confidence: 99%

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Lagrangian finite element method with nodal integration for fluid–solid interaction

Franci

2020

Comp. Part. Mech.

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This work presents a fully LagrangianFinite Element Method (FEM) with nodal integration for the simulation of Fluid-Structure Interaction (FSI) problems. The Particle Finite Element Method (PFEM) is used to solve the incompressible uids and to track their evolving free surface, while the solid bodies are modeled with the standard FEM. The coupled problem is solved through a monolithic approach to ensure a strong FSI coupling. Accuracy and convergence of the proposed nodal integration method are proved against several benchmark tests, involving complex interactions between unsteady free-surface uids and solids undergoing large displacements. A very good agreement with the numerical and experimental results of the literature is obtained. The numerical results of the nodal integration algorithm are also compared to those given by a standard Gaussian method and their upperbound convergent behavior is also discussed.

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Section: Collapse Of Water Column Against An Elastic Structurementioning

confidence: 99%

“…Note that, also in the family of SFEM methods, there are only a few examples of formulations for FSI (e.g. [39,38,37]), especially in presence of free-surface uids.…”

Section: Introductionmentioning

confidence: 99%

Lagrangian finite element method with nodal integration for fluid–solid interaction

Franci

2020

Comp. Part. Mech.

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“…Lucy [27] and Gingold and Monaghan [28] firstly introduced smoothed particle hydrodynamics to simulate astrophysical problems. e smoothed particle hydrodynamics (SPH) method is employed in several fields [29][30][31][32][33][34][35]. An incompressible SPH (ISPH) method has the ability for solving several complex problems by showing a good efficiency [36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Double-Diffusive of a Nanofluid in a Rectangle-Shape Mounted on a Cavity Saturated by Heterogeneous Porous Media

Aly

Mahmoud

Ahmad

et al. 2021

Journal of Mathematics

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This study presents numerical simulations on double-diffusive flow of a nanofluid in two cavities connected with four vertical gates. Novel shape of an outer square shape mounted on a square cavity by four gates was used. Heterogeneous porous media and Al 2 O 3 -water nanofluid are filled in an inner cavity. Outer rectangle shape is filled with a nanofluid only, and its left walls carry high temperature T h and high concentration C h . The right walls of a rectangle shape carry low temperature T c and low concentration C c and the other walls are adiabatic. An incompressible smoothed particle hydrodynamics (ISPH) method is applied for solving the governing equations of velocities, temperature, and concentration. Results are introduced for the effects of a buoyancy ratio − 2 ≤ N ≤ 2 , Darcy parameter 10 − 3 ≤ Da ≤ 10 − 5 , solid volume fraction 0 ≤ ϕ ≤ 0.05 , and porous levels. Main results are indicated in which the buoyancy ratio parameter adjusts the directions of double-diffusive convection flow in an outer shape and inner cavity. Adding more concentration of nanoparticles reduces the flow speed and maximum of the velocity field. Due to the presence of a porous medium layer in an inner cavity, the Darcy parameter has slight changes inside the rectangle shape.

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“…One example of mesh-free methods is the smoothed particle hydrodynamics (SPH) method. Invented by Gingold and Monaghan 36 and Lucy, 37 SPH has been successfully applied to a wide range of engineering applications such as large deformation and failure of geomaterials, [38][39][40] slope failures, [41][42][43] granular flows and landslides, [44][45][46][47][48][49] soil-structure interaction, [50][51][52][53][54] coupled soil-water problems [55][56][57] and among many others. 49 SPH combined with a traditional constitutive model such as elastoplastic or coupled elastoplastic and damage models has also been extended to rock fractures in literature.…”

Section: Introductionmentioning

confidence: 99%

Simulation of mixed‐mode fracture using SPH particles with an embedded fracture process zone

Wang

Tran

Nguyen

et al. 2020

Num Anal Meth Geomechanics

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This paper focuses on the modelling of mixed-mode fracture using the conventional smoothed particle hydrodynamics (SPH) method and a mixed-mode cohesive fracture law embedded in the particles. The combination of conventional SPH and a mixed-mode cohesive model allows capturing fracture and separation under various loading conditions efficiently. The key advantage of this framework is its capability to represent complex fracture geometries by a set of cracked SPH particles, each of which can possess its own mixed-mode cohesive fracture with arbitrary orientations. Therefore, this can naturally capture complex fracture patterns without any predefined fracture topologies.Because a characteristic length scale related to the size of the fracture process zone is incorporated in the constitutive formulation, the proposed approach is independent from the spatial discretisation of the computational domain (or mesh independent). Furthermore, the anisotropic fracture responses of materials can be naturally captured thanks to the orientation of the fracture process zone embedded at the particle level. The performance of the proposed approach demonstrates its potentials in modelling mixed-mode fracture of rocks and similar quasi-brittle materials. K E Y W O R D Scohesive fracture law, mixed-mode, regularisation, rock fracture, smoothed particle hydrodynamics (SPH)

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A smoothed particle element method (SPEM) for modeling fluid–structure interaction problems with large fluid deformations

Cited by 61 publications

References 53 publications

Lagrangian finite element method with nodal integration for fluid–solid interaction

Lagrangian finite element method with nodal integration for fluid–solid interaction

Double-Diffusive of a Nanofluid in a Rectangle-Shape Mounted on a Cavity Saturated by Heterogeneous Porous Media

Simulation of mixed‐mode fracture using SPH particles with an embedded fracture process zone

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