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Meshfree method for fluctuating hydrodynamics

Author

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  • Pandey, Anamika
  • Klar, Axel
  • Tiwari, Sudarshan

Abstract

In the current study a meshfree Lagrangian particle method for the Landau–Lifshitz Navier–Stokes (LLNS) equations is developed. The LLNS equations incorporate thermal fluctuation into macroscopic hydrodynamics by the addition of white noise fluxes whose magnitudes are set by a fluctuation–dissipation theorem. The study focuses on capturing the correct variance and correlations computed at equilibrium flows, which are compared with available theoretical values. Moreover, a numerical test for the random walk of standing shock wave has been considered for capturing the shock location.

Suggested Citation

  • Pandey, Anamika & Klar, Axel & Tiwari, Sudarshan, 2012. "Meshfree method for fluctuating hydrodynamics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(11), pages 2157-2166.
  • Handle: RePEc:eee:matcom:v:82:y:2012:i:11:p:2157-2166
    DOI: 10.1016/j.matcom.2012.06.002
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    References listed on IDEAS

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    1. Español, Pep, 1998. "Stochastic differential equations for non-linear hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 77-96.
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