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

Franci, Alessandro

doi:10.1007/s40571-020-00338-1

Cited by 21 publications

(13 citation statements)

References 39 publications

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“…This model was improved in [27] by a GPU-accelerated formulation. More recently, a similar nodebased smoothing PFEM formulation was developed for fluid dynamic problems by Franci et al [28] and was further improved for fluid structure interaction problems in [29]. The node-based smoothing formulation can effectively treat volumetric locking problems and shows upper bound properties.…”

Section: Introductionmentioning

confidence: 99%

A mixed u–p edge-based smoothed particle finite element formulation for viscous flow simulations

Reinold

Meschke

2021

Comput Mech

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A mixed u–p edge-based smoothed particle finite element formulation is proposed for computational simulations of viscous flow. In order to improve the accuracy of the standard particle finite element method, edge-based and face-based smoothing operations on the displacement gradient are proposed for 2D and 3D analyses, respectively. Consequently, spatial integration involving the smoothing operator is performed on smoothing domains. The constitutive model is based on an elasto-viscoplastic formulation allowing for simulations of viscous fluid or fluid-like solid materials. The viscous response is modeled using an overstress function. The performance of the proposed edge-based smoothed particle finite element method (ES-PFEM) is demonstrated by several numerical benchmark studies, showing an excellent agreement with analytical and reference solutions and an improved accuracy and computational efficiency in comparison with results from the standard PFEM model. Finally, a numerical application of the ES-PFEM to the computational simulation of the extrusion process during 3D-concrete-printing is discussed.

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Section: Introductionmentioning

confidence: 99%

A mixed u–p edge-based smoothed particle finite element formulation for viscous flow simulations

Reinold

Meschke

2021

Comput Mech

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“…The method was extended to quasi-incompressible solids in [33] and to thermal-coupled problems in [34]. Recently, in [27] the method has been adapted to a nodal-integration framework. [111,113] presented a monolithic approach with a global pressure condensation which enables the definition of a purely displacement-based linear system of equations.…”

Section: Literature Review Of Pfem For Fluid-structure Problemsmentioning

confidence: 99%

“…Very recently [27] showed the accuracy of PFEM with nodal integration for the solution of FSI problems in presence of free-surface fluid flows.…”

Section: Pfem With Nodal Integrationmentioning

confidence: 99%

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A State of the Art Review of the Particle Finite Element Method (PFEM)

Cremonesi

Franci

Idelsohn

et al. 2020

Arch Computat Methods Eng

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116

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The particle finite element method (PFEM) is a powerful and robust numerical tool for the simulation of multi-physics problems in evolving domains. The PFEM exploits the Lagrangian framework to automatically identify and follow interfaces between different materials (e.g. fluid–fluid, fluid–solid or free surfaces). The method solves the governing equations with the standard finite element method and overcomes mesh distortion issues using a fast and efficient remeshing procedure. The flexibility and robustness of the method together with its capability for dealing with large topological variations of the computational domains, explain its success for solving a wide range of industrial and engineering problems. This paper provides an extended overview of the theory and applications of the method, giving the tools required to understand the PFEM from its basic ideas to the more advanced applications. Moreover, this work aims to confirm the flexibility and robustness of the PFEM for a broad range of engineering applications. Furthermore, presenting the advantages and disadvantages of the method, this overview can be the starting point for improvements of PFEM technology and for widening its application fields.

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“…The former can assure the computational efficiency while the latter is especially beneficial for large deformation analysis. Very recently, the SPFEM has been extended to solve the fluid dynamics problem [23] and fluid-structure interaction problem [24], which has been termed 'PFEM with Nodal Integration' in their studies [25].…”

Section: Introductionmentioning

confidence: 99%

GPU-accelerated smoothed particle finite element method for large deformation analysis in geomechanics

Zhang

Zhong

Peng³

et al. 2021

Computers and Geotechnics

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Particle finite element method (PFEM) is an effective numerical tool for solving large-deformation problems in geomechanics. By incorporating the node integration technique with strain smoothing into the PFEM, we proposed the smoothed particle finite element method (SPFEM). This paper extends the SPFEM to three-dimensional cases and presents a SPFEM executed on graphics processing units (GPUs) to boost the computational efficiency. The detailed parallel computing strategy on GPU is introduced. New computation formulations related to the strain smoothing technique are proposed

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

Cited by 21 publications

References 39 publications

A mixed u–p edge-based smoothed particle finite element formulation for viscous flow simulations

A mixed u–p edge-based smoothed particle finite element formulation for viscous flow simulations

A State of the Art Review of the Particle Finite Element Method (PFEM)

GPU-accelerated smoothed particle finite element method for large deformation analysis in geomechanics

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