Meshfree Method for Fluctuating Hydrodynamics

This thesis deals with the fluctuations arising in the fluid, at mesoscopic scales. In this context, meshfree formulations of compressible and incompressible fluctuating hydrodynamics are presented. Fluctuations are modelled by the Landau-Lifshitz Navier-Stokes (LLNS) equations. It is difficult to formulate a numerical approximations providing an accurate and efficient description of the fluctuating hydrodynamics because of the stochastic nature of the underlying fluctuating hydrodynamic equations. A meshfree approximation is even more demanding but the advantages it holds, makes it a preferred choice in many problems such as the problem with time-varying fluid domain.

Brownian motion of constituent particles of fluid and suspended particle in fluid are also investigated by direct numerical simulation of the fluctuating hydrodynamic equations.

A meshfree formulation for the fluid-structure interaction subject to thermal fluctuation is a promising approach to deal the study of complex fluid, soft material.