Numerical stability of the method of Brownian configuration fields

Mangoubi, Claude; Hulsen, Martien A.; Kupferman, Raz

doi:10.1016/j.jnnfm.2008.11.009

Cited by 15 publications

(5 citation statements)

References 11 publications

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“…Due to the spatial smoothness, the BCF method has a considerable increased numerical stability. This advantage was confirmed in previous research and Mangoubi [16] recently gave an in-depth analysis about the origin of the numerical stability of the BCF method.…”

Section: Related Worksupporting

confidence: 69%

A Multi-scale Parallel Numerical Solver for Modeling of Two-phase Viscoelastic Fluids Based on the OpenFOAM

Guo¹,

Cao²,

Wang³

et al. 2015

Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

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Abstract-With the rapid development of high performance computing technology, the simulation of viscoelastic fluids has become an extremely important research area and numerous new promising techniques have been proposed over the last decades. In this paper we proposed a numerical algorithm for solving the multi-scale two-fluid model, additionally, based on an open source CFD toolbox, we implemented a parallel solver and verified the algorithms through parallel simulations. The results verified the numerical algorithm and show that the parallel codes of the solver have good parallel efficiency.

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Section: Related Worksupporting

confidence: 69%

A Multi-scale Parallel Numerical Solver for Modeling of Two-phase Viscoelastic Fluids Based on the OpenFOAM

Guo¹,

Cao²,

Wang³

et al. 2015

Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

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“…37 Due to the spatial smoothness, the BCF method has a considerable increased numerical stability. This advantage was conrmed in previous research and Mangoubi 38 recently gave an in-depth analysis about the origin of the numerical stability of the BCF method.…”

Section: Introductionmentioning

confidence: 93%

Multi-scale simulation of non-equilibrium phase transitions under shear flow in dilute polymer solutions

Guo

Cao

et al. 2015

RSC Adv.

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The phase transition of complex fluids is intrinsically a multi-scale problem. In this paper we proposed a multi-scale two-fluid model, that couples a coarse-grained microscopic method to the two-fluid framework for studying the multi-phase fluids under shear flow. In this model the macroscopic viscoelastic stress is calculated by tracking massive microscopic Brownian configuration fields in the simulation box. Both of the macroscopic and the microscopic equations are solved using a modified PISO iterative algorithm based on finite volume discretization scheme. Our 2D numerical results reproduce numerous dynamic phenomena reported in literature and show that the theoretical model presented here could be a possible multi-scale approach to numerically study the multi-phase viscoelastic fluids under flow.

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“…The method of Brownian configuration fields [22,39] uses correlated ensembles of model molecules and completely avoids the tracking problem. Instead of computing the configuration of discrete molecules along flow trajectories, this method determines the evolution of a finite number of Eulerian configurations fields.…”

Section: Brownian Configuration Fieldsmentioning

confidence: 99%

Multi-scale Modeling and Simulation of Polymer Flow

Binétruy

Chinesta

Keunings

2015

Flows in Polymers, Reinforced Polymers and Composites

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The flow of polymeric fluids in complex geometries relevant to processing applications can be simulated numerically using a wide variety of theoretical models. Simple mathematical models have a purely macroscopic nature and focus only on the non-linear relationship between shear viscosity and shear rate. More advanced models address the viscoelastic character of polymeric fluids, either in a macroscopic or multi-scale framework. These advanced models and the related numerical approaches are the subject of this first chapter, wherein we build upon and update our previous reviews of the field [29,31].

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Numerical stability of the method of Brownian configuration fields

Cited by 15 publications

References 11 publications

A Multi-scale Parallel Numerical Solver for Modeling of Two-phase Viscoelastic Fluids Based on the OpenFOAM

A Multi-scale Parallel Numerical Solver for Modeling of Two-phase Viscoelastic Fluids Based on the OpenFOAM

Multi-scale simulation of non-equilibrium phase transitions under shear flow in dilute polymer solutions

Multi-scale Modeling and Simulation of Polymer Flow

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