Fokker-Planck model of hydrodynamics.

Phys Rev E Stat Nonlin Soft Matter Phys

Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India.

Published: March 2015

AI Article Synopsis

  • - The text discusses a new way to describe hydrodynamics using the Fokker-Planck equation for one-particle distribution functions, which is compatible with thermodynamics.
  • - This method is similar to the Boltzmann equation and BGK model, ensuring thermodynamic consistency and the H theorem.
  • - It offers independent calculations for transport coefficients and the equation of state, serving as an alternative to BGK methods and direct simulation Monte Carlo for studying gaseous flows.

Article Abstract

We present a phenomenological description of the hydrodynamics in terms of the Fokker-Planck (FP) equation for one-particle distribution function. Similar to the Boltzmann equation or the Bhatnager-Gross-Krook (BGK) model, this approach is thermodynamically consistent and has the H theorem. In this model, transport coefficients as well as the equation of state can be provided independently. This approach can be used as an alternate to BGK-based methods as well as the direct simulation Monte Carlo method for the gaseous flows.

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Source
http://dx.doi.org/10.1103/PhysRevE.91.033303DOI Listing

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