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The Lattice Boltzmann EquationFor Complex States of Flowing Matter$
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Sauro Succi

Print publication date: 2018

Print ISBN-13: 9780199592357

Published to Oxford Scholarship Online: June 2018

DOI: 10.1093/oso/9780199592357.001.0001

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LB for Flows with Suspended Objects: Fluid–Solid Interactions

LB for Flows with Suspended Objects: Fluid–Solid Interactions

(p.589) 31 LB for Flows with Suspended Objects: Fluid–Solid Interactions
The Lattice Boltzmann Equation

Sauro Succi

Oxford University Press

In the recent years the theory of the fluctuating LB, as it was proposed and developed by A.J.C. Ladd in the early 90s, has undergone major developments, both at the level of theoretical foundations and practical implementation. This Chapter provides a cursory view of such developments, with special focus on the general formulation of fluid–solid interactions within the Lattice Boltzmann formalism. Clearly, the rheological behavior of these suspensions is highly accepted by the way the suspended particles interact with the fluid and among themselves. From the mathematical and computational standpoint, this configures a technically thick issue, namely the treatment of fluid-solid moving boundaries, in a more macroscopic-oriented context also known as fluid-structure interactions (FSI). In the sequel, a description of a number of methods which have been developed to include FSI within the LB formalism, is presented. In particular, the case of rigid and deformable bodies, both vital to many applications in science and engineering, shall be covered

Keywords:   Fluid-Solid interactions, Fluid-Structure interactions, Soft-Matter, Immersed Boundary Method, Smoothed particle hydrodynamics

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