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Lattice Boltzmann Modeling of Complex Flows for Engineering Applications

Andrea Montessori, Giacomo Falcucci


Nature continuously presents a huge number of complex and multiscale phenomena, which in many cases, involve the presence of one or more fluids flowing, merging and evolving around us. Since its appearance on the surface of Earth, mankind has tried to exploit and tame fluids for their purposes, probably starting with Hero's machinery to open the doors of the Temple of Serapis in Alexandria to arrive to modern propulsion systems and actuators. Today, we know that fluid mechanics lies at the basis of countless scientific and technical applications from the smallest physical scales (nanofluidics, bacterial motility, and diffusive flows in porous media), to the largest (from energy production in power plants to oceanography and meteorology). It is essential to deepen the understanding of fluid behaviour across scales for the progress of mankind and for a more sustainable and efficient future.

Since the very first years of the third millennium, the Lattice Boltzmann Method (LBM) has seen an exponential growth of applications, especially in the fields connected with the simulation of complex and soft matter flows. LBM, in fact, has shown a remarkable versatility in different fields of applications from nanoactive materials, free surface flows, and multiphase and reactive flows to the simulation of the processes inside engines and fluid machinery. LBM is based on an optimized formulation of Boltzmann's Kinetic Equation, which allows for the simulation of fluid particles, or rather quasi-particles, from a mesoscopic point of view thus allowing the inclusion of more fundamental physical interactions in respect to the standard schemes adopted with Navier-Stokes solvers, based on the continuum assumption.

In this book, the authors present the most recent advances of the application of the LBM to complex flow phenomena of scientific and technical interest with focus on the multiscale modeling of heterogeneous catalysis within nano-porous media and multiphase, multicomponent flows.

About Editors

Andrea Montessori, PhD, is a postdoc researcher in the Department of Engineering at the University of Rome "Roma Tre". He has developed the Lattice Boltzmann Model for the simulation of complex fluid dynamics phenomena including multiphase and multicomponent flows, reactive and nonequilibrium flows, and transport phenomena in 2D nanomaterials.

Giacomo Falcucci, PhD, is an Assistant Professor of Energy and Environmental Systems at the University of Naples "Parthenope" in Italy. He has developed numerical methods based on the Lattice Boltzmann Equation for the study of non-ideal fluids and is active in the numerical and experimental investigation of fuel cells, alternative energy systems, and fluid-structure interaction for energy harvesting.

Table of Contents

1 Introduction
2 The lattice Boltzmann equation for complex flows
2.1 Kinetic and Lattice Kinetic Theory: a brief overview
2.2 The lattice Boltzmann equation
3 Lattice schemes for multiphase and multicomponent flows: theory and applications
3.1 The pseudopotential approach for multiphase flows
3.2 Discretisation of the non-ideal forcing term on higherorder lattices
3.2.1 Applications to Internal Combustion Engines: simulating a cavitating injector
3.3 Entropic lattice pseudo-potentials for multiphase flow simulations
3.3.1 The benefits of the entropic formulation
3.4 Applications and Results
4 Lattice Boltzmann models for fluid-structure interaction problems
4.1 Fluid-Structure Interaction - Rigid Cantilevers
4.1.1 Governing Equations
4.1.2 Lattice Boltzmann Implementation
4.1.3 Force Evaluation
4.1.4 Representative flow fields
4.1.5 Extraction of the hydrodynamic function
4.2 Fluid-Structure Interaction - Wedge-Shaped Bodies
4.2.1 The structure: finite element analysis
4.2.2 Fluid-structure interaction: time discontinuous Galerkin method and coupling algorithm
4.2.3 Numerical results
4.3 Free surface simulation in water entry problems
4.3.1 Numerical Implementation
4.3.2 Numerical Results and Validation
5 Extended lattice Boltzmann model for rarefied nonequilibrium flows in porous media
5.1 Extended LB approach: higher-order regularization and kinetic boundary conditions
5.1.1 Extended lattice Boltzmann versus Grad's generalized hydrodynamics
5.2 Flow across at plates at increasing Knudsen
5.3 Three-dimensional ow through array of sphere
6 Lattice Boltzmann approach to reactive flows in nanoporous catalysts
6.1 Relevant non-dimensional numbers in reactive flows
6.2 The reactive boundary condition
6.3 Consistency of reaction time
6.4 Numerical simulations
6.5 Effect of the Damköhler number
6.6 Effects of the Knudsen number
6.7 Upscaling
7 Lattice Boltzmann model for water transport inside subnano-graphene membranes
7.1 Background
7.2 Experimental details
7.3 Augmented LB for water transport inside GO membranes
7.4 Results
7.5 Inside the flow structure
7.6 Sub-nano tuning of graphene flakes' spacing in GO membrane: effects on permeability
7.7 Some remarks on the slip length in nano-channel flows


Paperback ISBN: 9780750328975

Ebook ISBN: 9781681746753

DOI: 10.1088/978-1-6817-4672-2

Publisher: Morgan & Claypool Publishers


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