Lattice Boltzmann method for the simulation of viscoelastic fluid flows |
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| Authors: | O. Malaspinas N. Fiétier M. Deville |
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| Affiliation: | 1. ETSIAE, Universidad Politécnica de Madrid, Plaza de Cardenal Cisneros 3, Madrid 28040, Spain;2. Center for Computational Simulation, Universidad Politécnica de Madrid, Campus de Montegancedo, Boadilla del Monte, Madrid 28660, Spain;1. Institute for Polymers and Composites/i3N, University of Minho, Campus de Azurém, 4800-058 Guimarães, Portugal;2. Instituto de Ciências Exatas e Naturais, Faculdade de Matemática, Universidade Federal do Pará, 66075-110 Belem, PA, Brasil;1. Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260, Singaporen;2. Department of Aerodynamics, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street, Nanjing 210016, Jiangsu, China;3. School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, PR China |
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| Abstract: | The simulation of viscoelastic fluids is a challenging task from the theoretical and numerical points of view. This class of fluids has been extensively studied with the help of classical numerical methods. In this paper we propose a new approach based on the lattice Boltzmann method in order to simulate linear and non-linear viscoelastic fluids and in particular those described by the Oldroyd-B and FENE-P constitutive equations. We study the accuracy and stability of our model on three different benchmarks: the 3D Taylor–Green vortex decay, the simplified 2D four-rolls mill, and the 2D Poiseuille flow. To our knowledge, the methodology described in this work is a first attempt for the simulation of non-trivial flows of viscoelastic fluids using the lattice Boltzmann method to discretize the constitutive and conservation equations. |
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