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Appl. Sci. 2018, 8(3), 352; https://doi.org/10.3390/app8030352

A Lattice Boltzmann Method and Asynchronous Model Coupling for Viscoelastic Fluids

1,* , 2,* and 1
1
School of Science, Xi’an Polytechnic University, Xi’an 710048, China
2
School of Science, Northwestern Polytechnical University, Xi’an 710129, China
*
Authors to whom correspondence should be addressed.
Received: 21 January 2018 / Revised: 23 February 2018 / Accepted: 26 February 2018 / Published: 28 February 2018
(This article belongs to the Special Issue Development and Applications of Kinetic Solvers for Complex Flows)
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Abstract

The numerical algorithms of viscoelastic flows can appear a tremendous challenge as the Weissenberg number (Wi) enlarged sufficiently. In this study, we present a generalized technique of time-stably advancing based on the coupled lattice Boltzmann method, in order to improve the numerical stability of simulations at a high Wi number. The mathematical models of viscoelastic fluids include both the equation of the solvent and the Oldroyd-B constitutive equation of the polymer. In the two-dimensional (2D) channel flow, the coupled method shows good agreements between the corresponding exact results and the numerical results obtained by our method. In addition, as the Wi number increased, for the viscoelastic flows through contractions, we show that the prediction of our presented method can reproduce the same numerical results that were reported by previous studies. The main advantage of current method is that it can be applied to simulate the complex phenomena of the viscoelastic fluids. View Full-Text
Keywords: lattice Boltzmann method; viscoelastic fluid; Oldroyd-B equations; numerical simulation lattice Boltzmann method; viscoelastic fluid; Oldroyd-B equations; numerical simulation
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Su, J.; Ouyang, J.; Lu, J. A Lattice Boltzmann Method and Asynchronous Model Coupling for Viscoelastic Fluids. Appl. Sci. 2018, 8, 352.

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