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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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Boundary Conditions

Boundary Conditions

(p.271) 17 Boundary Conditions
The Lattice Boltzmann Equation

Sauro Succi

Oxford University Press

The actual dynamics of fluid flows is highly dependent on the surrounding environment, whose influence is mathematically described through the prescription of suitable boundary conditions. Boundary conditions play a crucial role, as they select solutions which are compatible with external constraints. Accounting for these constraints may be comparatively simple for idealized geometries but for general ones it represents a delicate (and sometimes nerve-probing!) task. In fact, the treatment of the boundary conditions often makes the difference in the quality of fluid dynamic simulations. This chapter illustrates the most common ways to impose boundary conditions to LB flows. The subject is very technical and has grown considerably for the past decade, which means that this chapter can only serve as a guiding introduction to the vast and still growing original literature.

Keywords:   boundary conditions, constraints, complex geometries, computer implementation, programming

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