Meshfree method for the stochastic Landau-Lifshitz Navier-Stokes equations

Anamika Pandey, Axel Klar, Sudarshan Tiwari · UPCommons institutional repository (Universitat Politècnica de Catalunya) · 2011

The current study aimed to develop a meshfree Lagrangian particle method for the Landau-Lifshitz Navier-Stokes (LLNS) equations. The LLNS equations incorporate thermal fluctuation into macroscopic hydrodynamics by addition of white noise fluxes whose magnitudes are set by a fluctuation-dissipation theorem. Moreover, the study focuses on capturing correct variance and correlation computed at equilibrium flows, which are compared with available theoretical values and found very good agreement.

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