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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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Advanced RLB models

Advanced RLB models

(p.699) 35 Advanced RLB models
The Lattice Boltzmann Equation

Sauro Succi

Oxford University Press

The relativistic LB scheme described in Chapter 34 is based on the top-down approach and limited to weakly relativistic fluids. This chapter presents a systematic derivation of relativistic LB based on the continuum kinetic theory. The resulting scheme can handle relativistic flows with Lorentz factors up to order ten, thereby considerably extending the scope of the method. In addition, the extension of the LB scheme to generalized coordinates for the simulation of flows on curved manifolds, is also illustrated.

Keywords:   relativistic fluids, relativistic kinetic theory, Juettner distribution, Lorentz factors, relativistic flows on curved spaces

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