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Splitting Schemes for Mixtures of Nematic-Isotropic Flows with Anchoring Effects

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Large-Scale Scientific Computing (LSSC 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10665))

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Abstract

This work is devoted to the study of complex fluids composed by the mixture between isotropic (newtonian fluid) and nematic (liquid crystal) flows, taking into account how the liquid crystal molecules behave on the interface between both fluids (anchoring effects) and the influence of the shape of the liquid crystal molecules on the dynamics of the system (stretching effects).

First, we present the PDE system to model Nematic-Isotropic mixtures, taking into account viscous, mixing, nematic, anchoring and stretching effects. Then, we provide a new linear unconditionally energy-stable splitting scheme. Moreover, we present numerical simulations to show the efficiency of the proposed numerical scheme and the influence of the different types of anchoring effects in the dynamics of the system.

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Authors and Affiliations

  1. Temple University, Philadelphia, PA, 19122, USA

    Giordano Tierra

  2. Universidad de Sevilla and IMUS, C/Tarfia, S/N, 41012, Seville, Spain

    Francisco Guillén-González & María Ángeles Rodríguez-Bellido

Authors
  1. Giordano Tierra
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  2. Francisco Guillén-González
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  3. María Ángeles Rodríguez-Bellido
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Corresponding author

Correspondence to Giordano Tierra .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Svetozar Margenov

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Tierra, G., Guillén-González, F., Rodríguez-Bellido, M.Á. (2018). Splitting Schemes for Mixtures of Nematic-Isotropic Flows with Anchoring Effects. In: Lirkov, I., Margenov, S. (eds) Large-Scale Scientific Computing. LSSC 2017. Lecture Notes in Computer Science(), vol 10665. Springer, Cham. https://doi.org/10.1007/978-3-319-73441-5_7

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  • DOI: https://doi.org/10.1007/978-3-319-73441-5_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73440-8

  • Online ISBN: 978-3-319-73441-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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