Meshfree method for fluctuating hydrodynamics
Copyright policy )Meshfree method for fluctuating hydrodynamics
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.
17 pages, 2 figures
fluctuating hydrodynamics, Landau-Lifshitz Navier-Stokes equations, stochastic fluxes, Navier-Stokes equations for incompressible viscous fluids, finite pointset method, covariances, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Navier-Stokes equations, Finite element methods applied to problems in fluid mechanics
fluctuating hydrodynamics, Landau-Lifshitz Navier-Stokes equations, stochastic fluxes, Navier-Stokes equations for incompressible viscous fluids, finite pointset method, covariances, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Navier-Stokes equations, Finite element methods applied to problems in fluid mechanics
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