An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2005

AUTHORS

James J. Feng , Chun Liu , Jie Shen , Pengtao Yue

ABSTRACT

The use of a phase field to describe interfacial phenomena has a long and fruitful tradition. There are two key ingredients to the method: the transformation of Lagrangian description of geometric motions to Eulerian description framework, and the employment of the energetic variational procedure to derive the coupled systems. Several groups have used this theoretical framework to approximate Navier-Stokes systems for two-phase flows. Recently, we have adapted the method to simulate interfacial dynamics in blends of microstructured complex fluids. This review has two objectives. The first is to give a more or less self-contained exposition of the method. We will briefly review the literature, present the governing equations and discuss a suitable numerical schemes, such as spectral methods. The second objective is to elucidate the subtleties of the model that need to be handled properly for certain applications. These points, rarely discussed in the literature, are essential for a realistic representation of the physics and a successful numerical implementation. The advantages and limitations of the method will be illustrated by numerical examples. We hope that this review will encourage readers whose applications may potentially benefit from a similar approach to explore it further. More... »

PAGES

1-26

References to SciGraph publications

  • 1985-06. On the thermomechanics of interstitial working in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2001-09. An Eulerian Description of Fluids Containing Visco-Elastic Particles in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1979-02. The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density in JOURNAL OF STATISTICAL PHYSICS
  • 2000-09. Existence of Solutions for the Ericksen-Leslie System in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • Book

    TITLE

    Modeling of Soft Matter

    ISBN

    978-0-387-29167-3
    978-0-387-32153-0

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/0-387-32153-5_1

    DOI

    http://dx.doi.org/10.1007/0-387-32153-5_1

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1013809767


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