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Immiscible multicomponent lattice Boltzmann model for fluids with high relaxation time ratio

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Abstract

An immiscible multicomponent lattice Boltzmann model is developed for fluids with high relaxation time ratios, which is based on the model proposed by Shan and Chen (SC). In the SC model, an interaction potential between particles is incorporated into the discrete lattice Boltzmann equation through the equilibrium velocity. Compared to the SC model, external forces in our model are discretized directly into the discrete lattice Boltzmann equation, as proposed by Guo et al. We develop it into a new multicomponent lattice Boltzmann (LB) model which has the ability to simulate immiscible multicomponent fluids with relaxation time ratio as large as 29.0 and to reduce ‘spurious velocity’. In this work, the improved model is validated and studied using the central bubble case and the rising bubble case. It finds good applications in both static and dynamic cases for multicomponent simulations with different relaxation time ratios.

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Acknowledgement

This work is supported by National Natural Science Foundation of China under Grant No. 51178347.

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Authors and Affiliations

  1. College of Mechanical Engineering, Tongji University, 4800# Cao’an Road, Shanghai, 201804, China

    TAO JIANG, QIWEI GONG, RUOFAN QIU & ANLIN WANG

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  1. TAO JIANG
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  2. QIWEI GONG
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  3. RUOFAN QIU
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  4. ANLIN WANG
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Correspondence to QIWEI GONG.

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JIANG, T., GONG, Q., QIU, R. et al. Immiscible multicomponent lattice Boltzmann model for fluids with high relaxation time ratio. Pramana - J Phys 83, 557–570 (2014). https://doi.org/10.1007/s12043-014-0805-7

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  • DOI: https://doi.org/10.1007/s12043-014-0805-7

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