Three‐dimensional weakly compressible moving particle simulation coupled with geometrically nonlinear shell for hydro‐elastic free‐surface flows

A three‐dimensional fluid–structure interaction solver based on an improved weakly compressible moving particle simulation (WC‐MPS) method and a geometrically nonlinear shell structural model is developed and applied to hydro‐elastic free‐surface flows. The fluid–structure coupling is performed by a...

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Bibliographic Details
Published in:International journal for numerical methods in fluids Vol. 94; no. 8; pp. 1048 - 1081
Main Authors: Amaro Junior, Rubens Augusto, Gay Neto, Alfredo, Cheng, Liang‐Yee
Format: Journal Article
Language:English
Published: Hoboken, USA John Wiley & Sons, Inc 01.08.2022
Wiley Subscription Services, Inc
Subjects:
Compressibility
Computation
Constitutive models
Continuity equation
Divergence
Finite element method
Fluid-structure interaction
free‐surface flow
hydroelasticity
Mathematical models
nonlinear shell formulation
Numerical stability
Operators (mathematics)
Oscillations
particle‐based method
Polygons
Pressure oscillations
Robustness (mathematics)
Simulation
Structural models
Thin wall structures
ISSN:0271-2091, 1097-0363
Online Access:Get full text
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Summary:A three‐dimensional fluid–structure interaction solver based on an improved weakly compressible moving particle simulation (WC‐MPS) method and a geometrically nonlinear shell structural model is developed and applied to hydro‐elastic free‐surface flows. The fluid–structure coupling is performed by a polygon wall boundary model that can handle particles and finite elements of distinct sizes. In WC‐MPS, a tuning‐free diffusive term is introduced to the continuity equation to mitigate nonphysical pressure oscillations. Discrete divergence operators are derived and applied to the polygon wall boundary, of which the numerical stability is enhanced by a repulsive Lennard–Jones force. Additionally, an efficient technique to deal with the interaction between fluid particles placed at opposite sides of zero‐thickness walls is proposed. The geometrically nonlinear shell is modeled by an unstructured mesh of six‐node triangular elements. Finite rotations are considered with Rodrigues parameters and a hyperelastic constitutive model is adopted. Benchmark examples involving free‐surface flows and thin‐walled structures demonstrate that the proposed model is robust, numerically stable and offers more efficient computation by allowing mesh size larger than that of fluid particles. A coupled solver based on an improved weakly compressible moving particle simulation (WC‐MPS) method and a geometrically nonlinear shell structural model able to handle particles and finite elements of distinct sizes is proposed. A tuning‐free diffusive term reduces spurious pressure oscillations. Discrete divergence operators are derived to the polygon wall boundary, of which the numerical stability is enhanced by a repulsive Lennard–Jones force. A technique to deal with the interaction between fluid particles placed at opposite sides of zero‐thickness walls is proposed.
Bibliography:Funding information
Conselho Nacional de Desenvolvimento Científico e Tecnológico, Grant/Award Number: 304680/2018‐4; Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Grant/Award Number:001
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ISSN:0271-2091
1097-0363
DOI:10.1002/fld.5083