Sauro Succi
- Published in print:
- 2018
- Published Online:
- June 2018
- ISBN:
- 9780199592357
- eISBN:
- 9780191847967
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199592357.003.0012
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials
This chapter takes a walk into the Jurassics of LBE, namely the earliest Lattice Boltzmann model that grew up out in response to the main drawbacks of the underlying LGCA. The earliest LBE was first ...
More
This chapter takes a walk into the Jurassics of LBE, namely the earliest Lattice Boltzmann model that grew up out in response to the main drawbacks of the underlying LGCA. The earliest LBE was first proposed by G. McNamara and G. Zanetti in 1988, with the explicit intent of sidestepping the statistical noise problem plaguing its LGCA ancestor. The basic idea is simple: just replace the Boolean occupation Numbers with the corresponding ensemble-averaged population. The change in perspective is exactly the same as in Continuum Kinetic Theory (CKT); instead of tracking single Boolean molecules, one contents himself with the time history of a collective population representing a “cloud” of microscopic degrees of freedom.Less
This chapter takes a walk into the Jurassics of LBE, namely the earliest Lattice Boltzmann model that grew up out in response to the main drawbacks of the underlying LGCA. The earliest LBE was first proposed by G. McNamara and G. Zanetti in 1988, with the explicit intent of sidestepping the statistical noise problem plaguing its LGCA ancestor. The basic idea is simple: just replace the Boolean occupation Numbers with the corresponding ensemble-averaged population. The change in perspective is exactly the same as in Continuum Kinetic Theory (CKT); instead of tracking single Boolean molecules, one contents himself with the time history of a collective population representing a “cloud” of microscopic degrees of freedom.
Sauro Succi
- Published in print:
- 2018
- Published Online:
- June 2018
- ISBN:
- 9780199592357
- eISBN:
- 9780191847967
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199592357.003.0019
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials
The study of transport phenomena in disordered media is a subject of wide interdisciplinary concern, with many applications in fluid mechanics, condensed matter, life and environmental sciences as ...
More
The study of transport phenomena in disordered media is a subject of wide interdisciplinary concern, with many applications in fluid mechanics, condensed matter, life and environmental sciences as well. Flows through grossly irregular (porous) media is a specific fluid mechanical application of great practical value in applied science and engineering. It is arguably also one of the applications of choice of the LBE methods. The dual field–particle character of LBE shines brightly here: the particle-like nature of LBE (populations move along straight particle trajectories) permits a transparent treatment of grossly irregular geometries in terms of elementary mechanical events, such as mirror and bounce-back reflections. These assets were quickly recognized by researchers in the field, and still make of LBE (and eventually LGCA) an excellent numerical tool for flows in porous media, as it shall be discussed in this Chapter.Less
The study of transport phenomena in disordered media is a subject of wide interdisciplinary concern, with many applications in fluid mechanics, condensed matter, life and environmental sciences as well. Flows through grossly irregular (porous) media is a specific fluid mechanical application of great practical value in applied science and engineering. It is arguably also one of the applications of choice of the LBE methods. The dual field–particle character of LBE shines brightly here: the particle-like nature of LBE (populations move along straight particle trajectories) permits a transparent treatment of grossly irregular geometries in terms of elementary mechanical events, such as mirror and bounce-back reflections. These assets were quickly recognized by researchers in the field, and still make of LBE (and eventually LGCA) an excellent numerical tool for flows in porous media, as it shall be discussed in this Chapter.
