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00925njm 22002777a 4500 dc Balboa-Usabiaga, F. author Delgado-Buscalioni, R. author 2011 A method for particle hydrodynamics based on an hybrid Eulerian-Lagrangian approach is presented. Particles are solved in the continuum space while the fluid is solved in an Eulerian mesh, and described by finite volume fluctuating hydrodynamics. This set-up is particulary suited for micron-size devices where the Reynolds number is small but thermal fluctuations are important. The fluid-particle coupling force is obtained by imposing zero relative (particle-fluid) velocity at discrete points representing the particle sites. In this work particles are described by an only site which neglect rotation. The momentum exchanged between fluid and particle is transfered instantaneously and this brings about several benefits such as a correct treatment of inertia and proper particle velocity fluctuations uniquely driven by the fluid thermal forces. The present scheme is designed for incompressible and compressible fluids at low Mach number. This is theoretically shown by analyzing the consistency between the Eulerian and Lagrangian momentum balance.A series of tests up to moderate Reynolds number and acoustic forces under ultrasound waves are also presented. 1 INTRODUCTION Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits Finite element method Computational methods in mechanics Particle methods (Numerical analysis) particle hydrodynamics, Eulerian-Lagrangian method, fluctuating hydrodynamics Elements finits, Mètode dels Particle hydrodynamics: from molecular to colloidal fluids