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The Lattice Boltzmann Equation - For Complex States of Flowing Matter (Hardcover)
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The Lattice Boltzmann Equation - For Complex States of Flowing Matter (Hardcover)
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Flowing matter is all around us, from daily-life vital processes
(breathing, blood circulation), to industrial, environmental,
biological, and medical sciences. Complex states of flowing matter
are equally present in fundamental physical processes, far remote
from our direct senses, such as quantum-relativistic matter under
ultra-high temperature conditions (quark-gluon plasmas). Capturing
the complexities of such states of matter stands as one of the most
prominent challenges of modern science, with multiple ramifications
to physics, biology, mathematics, and computer science. As a
result, mathematical and computational techniques capable of
providing a quantitative account of the way that such complex
states of flowing matter behave in space and time are becoming
increasingly important. This book provides a unique description of
a major technique, the Lattice Boltzmann method to accomplish this
task. The Lattice Boltzmann method has gained a prominent role as
an efficient computational tool for the numerical simulation of a
wide variety of complex states of flowing matter across a broad
range of scales; from fully-developed turbulence, to multiphase
micro-flows, all the way down to nano-biofluidics and lately, even
quantum-relativistic sub-nuclear fluids. After providing a
self-contained introduction to the kinetic theory of fluids and a
thorough account of its transcription to the lattice framework,
this text provides a survey of the major developments which have
led to the impressive growth of the Lattice Boltzmann across most
walks of fluid dynamics and its interfaces with allied disciplines.
Included are recent developments of Lattice Boltzmann methods for
non-ideal fluids, micro- and nanofluidic flows with suspended
bodies of assorted nature and extensions to strong non-equilibrium
flows beyond the realm of continuum fluid mechanics. In the final
part, it presents the extension of the Lattice Boltzmann method to
quantum and relativistic matter, in an attempt to match the major
surge of interest spurred by recent developments in the area of
strongly interacting holographic fluids, such as electron flows in
graphene.
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