
Published online:
21 June 2018
Published in print:
19 April 2018
Online ISBN:
9780191847967
Print ISBN:
9780199592357
Contents
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35.1 Relativistic LBE from Relativistic Kinetic Theory 35.1 Relativistic LBE from Relativistic Kinetic Theory
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35.1.1 Relativistic Basis Functions 35.1.1 Relativistic Basis Functions
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35.1.2 Relativistic Lattice Polynomials 35.1.2 Relativistic Lattice Polynomials
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35.1.3 Third-Order KRLB with Improved Dissipation 35.1.3 Third-Order KRLB with Improved Dissipation
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35.1.4 KRLB Equilibria 35.1.4 KRLB Equilibria
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35.1.5 Kinetic RLB schemes for non-zero mass (finite-temperature) particles 35.1.5 Kinetic RLB schemes for non-zero mass (finite-temperature) particles
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35.2 Applications of Kinetic RLB 35.2 Applications of Kinetic RLB
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35.3 RLB in Spherical Coordinates 35.3 RLB in Spherical Coordinates
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35.4 Lattice Boltzmann in Curved Manifolds 35.4 Lattice Boltzmann in Curved Manifolds
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35.4.1 Hydrodynamics in Curved Manifolds 35.4.1 Hydrodynamics in Curved Manifolds
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35.4.2 Kinetic Theory in Curved Manifolds 35.4.2 Kinetic Theory in Curved Manifolds
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35.4.3 Lattice Boltzmann in a Curved Manifold 35.4.3 Lattice Boltzmann in a Curved Manifold
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35.5 Future Developments: Fluid-Structure Interactions 35.5 Future Developments: Fluid-Structure Interactions
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35.6 General Relativity 35.6 General Relativity
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35.6.1 LB for Numerical Relativity 35.6.1 LB for Numerical Relativity
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35.6.2 Hybrid Scenarios for Numerical Relativity 35.6.2 Hybrid Scenarios for Numerical Relativity
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35.6.3 Kinetic Theory of spacetime 35.6.3 Kinetic Theory of spacetime
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35.7 Summary 35.7 Summary
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35.8 Appendix: Covariant and Controvariant Coordinates 35.8 Appendix: Covariant and Controvariant Coordinates
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References References
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Chapter
35 Advanced RLB models
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Sauro Succi
Sauro Succi
Center for Life Nanoscience at La Sapienza, Istituto Italiano di Tecnologia, 00161, Roma, Italy Viale Regina Margherita, 295, 00161, Roma, Italy Istituto Applicazioni del Calcolo, National Research Council of Italy, via dei Taurini 19, 00185, Roma, Italy Institute for Applied Computational Science, J. Paulson School of Engineering and Applied Sciences, Harvard University, Oxford Street 29, 02138, Cambridge, USA
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Pages
699–721
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Published:April 2018
Cite
Succi, Sauro, 'Advanced RLB models', The Lattice Boltzmann Equation: For Complex States of Flowing Matter (Oxford , 2018; online edn, Oxford Academic, 21 June 2018), https://doi.org/10.1093/oso/9780199592357.003.0035, accessed 10 May 2025.
Abstract
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.
The Lattice Boltzmann Equation. Sauro Succi, Oxford University Press (2018).
© Sauro Succi. DOI: 10.1093/oso/9780199592357.001.0001
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