Meshfree method for fluctuating hydrodynamics

Details Meshfree method for fluctuating hydrodynamics Meshfree method for fluctuating hydrodynamics

2012-02-20

arxiv.org/abs/1202.4417v1

Mathematics

Numerical Analysis

17 pages, 2 figures

Scientific paper

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.

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