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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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Out of Legoland: Geoflexible Lattice Boltzmann Equations

Out of Legoland: Geoflexible Lattice Boltzmann Equations

(p.400) 23 Out of Legoland: Geoflexible Lattice Boltzmann Equations
The Lattice Boltzmann Equation

Sauro Succi

Oxford University Press

The LBEs discussed to this point lag behind “best in class” Computational Fluid Dynamics (CFD) methods for the simulation of fluid flows in realistically complicated geometries, such as those presented by most industrial devices. This traces back to the constraint of working along the light-cones of a uniform spacetime. Various methods have been proposed to remedy this unsatisfactory state of affairs. Among others, a natural strategy is to acquire geometrical flexibility from well-established techniques which can afford it, namely Finite Volumes (FV), Finite Differences (FD) and Finite Elements (FE). Alternatively, one can stick to the cartesian geometry of standard LB, and work at progressive levels of local grid refinement. This Chapter presents the general ideas being both strategies.

Keywords:   computational fluid dynamics, finite-differences, finite-volumes, finite-elements, grid-refinement

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