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Thermodynamically consistent mesoscopic fluid particle model.

M Serrano1, P Español

  • 1Departamento de Física Fundamental, UNED, Apartado 60141, 28080 Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 3, 2001
PubMed
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We developed a new discrete model for Lagrangian fluctuating hydrodynamics using Voronoi tessellations. This model ensures thermodynamic consistency and accurately simulates mesoscopic hydrodynamic problems.

Area of Science:

  • Computational physics
  • Mesoscopic hydrodynamics
  • Thermodynamics

Background:

  • Continuum hydrodynamics requires accurate discrete models for mesoscopic simulations.
  • Ensuring thermodynamic consistency in discrete models is crucial for physical accuracy.
  • Lagrangian methods offer advantages for tracking fluid elements in complex flows.

Purpose of the Study:

  • To present a finite volume Lagrangian discretization of hydrodynamic equations.
  • To ensure thermodynamic consistency and incorporate thermal fluctuations in the discrete model.
  • To validate the model for simulating mesoscopic hydrodynamic phenomena.

Main Methods:

  • Utilized Voronoi tessellation for Lagrangian discretization of continuum hydrodynamics.
  • Modified discrete equations to satisfy the first and second laws of thermodynamics.

Related Experiment Videos

  • Employed the GENERIC structure to ensure thermodynamic consistency and introduce thermal fluctuations.

    • Main Results:

    • Developed a thermodynamically consistent discrete model for Lagrangian fluctuating hydrodynamics.
    • Demonstrated the model's validity through simulation results.
    • Successfully applied the model to mesoscopic hydrodynamic problems.

    Conclusions:

    • The proposed finite volume Lagrangian discretization provides a consistent model for fluctuating hydrodynamics.
    • The GENERIC framework is effective for ensuring thermodynamic consistency in discrete models.
    • The model is suitable for simulating hydrodynamic problems at mesoscopic scales.