The surrounding cell method based on the S-FEM for analysis of FSI problems dealing with an immersed solid

Kim, Jungdo; Lee, Chan; Kim, Hyun‐Gyu; Im, Seyoung

doi:10.1016/j.cma.2018.07.016

Cited by 15 publications

(3 citation statements)

References 40 publications

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“…Their method is soon generalized to the three-dimensional FSI analysis adopting trilinear polyhedral elements. 29 The fully-coupled system equations are iterated at each time step by the same monolithic coupling algorithm in both two-and three-dimensional cases. Subsequently, He et al 30 suggested that (i) the number of SCs in each four-node quadrilateral (Q4) element is set identical to that of Gaussian points adopted in the same element; (ii) each integration point is embraced by an SC.…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, a sheer smoothed‐finite‐element representation of transient, nonlinear FSI was presented for the first time. Their method is soon generalized to the three‐dimensional FSI analysis adopting trilinear polyhedral elements 29 . The fully‐coupled system equations are iterated at each time step by the same monolithic coupling algorithm in both two‐ and three‐dimensional cases.…”

Section: Introductionmentioning

confidence: 99%

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A reduced smoothed integration scheme of the cell‐based smoothed finite element method for solving fluid–structure interaction on severely distorted meshes

He,

Lu,

2024

Numerical Methods in Fluids

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This article describes an inexpensive partitioned coupling strategy for computational fluid–structure interaction (FSI) admitting negative‐Jacobian elements. The emphasis is very much on a reduced smoothed integration (RSI) scheme of the cell‐based smoothed finite element method (CSFEM) using four‐node quadrilateral (Q4) elements for a cost‐effective solution to the Navier–Stokes (NS) equations. In the discrete fluid field, each Q4 element is considered as one single smoothing cell so as to diminish the smoothed integration loops substantially. However, the RSI scheme does not respect the stability condition of smoothed Galerkin weak‐form integral in the CSFEM. To tackle this issue, a simple hourglass control is introduced to the under‐integrated formulation of the NS solver. Importantly, the stabilized RSI scheme has an inbuilt advantage of its enormous tolerance towards negative‐Jacobian elements. The developed technique is easy‐to‐implement and has been tested in various FSI examples adopting both fine and distorted meshes.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A reduced smoothed integration scheme of the cell‐based smoothed finite element method for solving fluid–structure interaction on severely distorted meshes

He,

Lu,

2024

Numerical Methods in Fluids

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“…A naturally feasible means is to exclusively smooth the pressure Poisson equation and viscous stress tensor in line with the divergence theorem 34,35 . The gradient terms can also be approximated at some particular locations (e.g., centers, corners, and Gauss points) within the constructed SCs of polygonal element 36,37 . A similar scheme was subsequently operated by Jiang et al 38 to cope with incompressible laminar flow computations.…”

Section: Introductionmentioning

confidence: 99%

Extending the cell‐based smoothed finite element method into strongly coupled fluid–thermal–structure interaction

2020

Numerical Methods in Fluids

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This work generalizes the cell‐based smoothed finite element method (CS‐FEM) into fluid–thermal–structure interaction (FTSI) analysis under the arbitrary Lagrangian–Eulerian description. The thermal buoyancy is included with the incompressible Navier–Stokes equations through the Boussinesq approximation. The combined fluid flow and energy equations are solved by a smoothed characteristics‐based split algorithm that incorporates equal low‐order interpolations for the three primitive variables. The structural motions involving both oscillating rigid and flexible bodies are advanced by the generalized‐α method. Moreover, the nonlinear elastodynamics equations discretized with the CS‐FEM are linearized by the modified Newton–Raphson method. An efficient two‐level mesh updating scheme is subsequently discussed to account for large structural displacement and finite solid deformation. The cell‐based smoothing concept is then adopted to evaluate fluid forces acting on the immersed structure. The smoothed FTSI system is iteratively solved by the block‐Gauss–Seidel procedure. Transient FTSI examples are tested to demonstrate the effectiveness and robustness of the CS‐FEM.

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Modeling of particle-laden flows with n-sided polygonal smoothed finite element method and discrete phase model

Zhou

Wang

Jiang

et al. 2023

Applied Mathematical Modelling

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The surrounding cell method based on the S-FEM for analysis of FSI problems dealing with an immersed solid

Cited by 15 publications

References 40 publications

A reduced smoothed integration scheme of the cell‐based smoothed finite element method for solving fluid–structure interaction on severely distorted meshes

A reduced smoothed integration scheme of the cell‐based smoothed finite element method for solving fluid–structure interaction on severely distorted meshes

Extending the cell‐based smoothed finite element method into strongly coupled fluid–thermal–structure interaction

Modeling of particle-laden flows with n-sided polygonal smoothed finite element method and discrete phase model

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