Narayan R. Aluru and George Em Karniadakis
- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199219698
- eISBN:
- 9780191594229
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199219698.003.0003
- Subject:
- Mathematics, Mathematical Biology
In this chapter we review recent advances in numerical simulation of micro and nanoflows. For coarse-grained simulation of microfuidics, we present an overview of Lattice Boltzmann, Brownian ...
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In this chapter we review recent advances in numerical simulation of micro and nanoflows. For coarse-grained simulation of microfuidics, we present an overview of Lattice Boltzmann, Brownian dynamics, stochastic rotation dynamics, and smoothed particle hydrodynamics methods and discuss the dissipative particle dynamics method in detail as it shares many features with the other methods. In the area of nanoflows, we review recent advances in non-equilibrium molecular dynamics methods focusing on the development of self-consistent and grand canonical methods for electric-field mediated transport. We present examples showing the significance of quantum effects in nanoflows. Finally, we discuss multiscale modeling focusing on direct coupling of molecular dynamics with Navier-Stokes equations and hierarchical coupling of quantum, molecular dynamics and classical fluid equations.Less
In this chapter we review recent advances in numerical simulation of micro and nanoflows. For coarse-grained simulation of microfuidics, we present an overview of Lattice Boltzmann, Brownian dynamics, stochastic rotation dynamics, and smoothed particle hydrodynamics methods and discuss the dissipative particle dynamics method in detail as it shares many features with the other methods. In the area of nanoflows, we review recent advances in non-equilibrium molecular dynamics methods focusing on the development of self-consistent and grand canonical methods for electric-field mediated transport. We present examples showing the significance of quantum effects in nanoflows. Finally, we discuss multiscale modeling focusing on direct coupling of molecular dynamics with Navier-Stokes equations and hierarchical coupling of quantum, molecular dynamics and classical fluid equations.
Damien Violeau
- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199655526
- eISBN:
- 9780191741227
- Item type:
- book
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199655526.001.0001
- Subject:
- Physics, Condensed Matter Physics / Materials
This book aims at presenting the SPH method for fluid modelling from a theoretical and applied viewpoint. It comprises two parts that refer to each other. The first, dealing with the fundamentals of ...
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This book aims at presenting the SPH method for fluid modelling from a theoretical and applied viewpoint. It comprises two parts that refer to each other. The first, dealing with the fundamentals of Hydraulics, is based on the elementary principles of Lagrangian and Hamiltonian mechanics. The specific laws governing a system of macroscopic particles are built, then the large systems involving dissipative processes are explained. The continua are then discussed; lastly, a fairly exhaustive account of turbulence is given. The second part discloses the bases of the SPH Lagrangian numerical method from the continuous equations, as well as from discrete variational principles, setting out the method's specific properties of conservativity and invariance. Various numerical schemes are compared, permanently referring to physics as dealt with in the first part. Applications to schematic instances are then discussed; ultimately, practical applications to the dimensioning of coastal and fluvial structures are considered. Despite the rapid growth in the SPH field, this book is the first to present this method in a comprehensive way for fluids. It should serve as a rigorous introduction to SPH and a reference for fundamental mathematical fluid dynamics.Less
This book aims at presenting the SPH method for fluid modelling from a theoretical and applied viewpoint. It comprises two parts that refer to each other. The first, dealing with the fundamentals of Hydraulics, is based on the elementary principles of Lagrangian and Hamiltonian mechanics. The specific laws governing a system of macroscopic particles are built, then the large systems involving dissipative processes are explained. The continua are then discussed; lastly, a fairly exhaustive account of turbulence is given. The second part discloses the bases of the SPH Lagrangian numerical method from the continuous equations, as well as from discrete variational principles, setting out the method's specific properties of conservativity and invariance. Various numerical schemes are compared, permanently referring to physics as dealt with in the first part. Applications to schematic instances are then discussed; ultimately, practical applications to the dimensioning of coastal and fluvial structures are considered. Despite the rapid growth in the SPH field, this book is the first to present this method in a comprehensive way for fluids. It should serve as a rigorous introduction to SPH and a reference for fundamental mathematical fluid dynamics.
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/9780199592357.003.0031
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials
In the recent years the theory of the fluctuating LB, as it was proposed and developed by A.J.C. Ladd in the early 90s, has undergone major developments, both at the level of theoretical foundations ...
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In the recent years the theory of the fluctuating LB, as it was proposed and developed by A.J.C. Ladd in the early 90s, has undergone major developments, both at the level of theoretical foundations and practical implementation. This Chapter provides a cursory view of such developments, with special focus on the general formulation of fluid–solid interactions within the Lattice Boltzmann formalism. Clearly, the rheological behavior of these suspensions is highly accepted by the way the suspended particles interact with the fluid and among themselves. From the mathematical and computational standpoint, this configures a technically thick issue, namely the treatment of fluid-solid moving boundaries, in a more macroscopic-oriented context also known as fluid-structure interactions (FSI). In the sequel, a description of a number of methods which have been developed to include FSI within the LB formalism, is presented. In particular, the case of rigid and deformable bodies, both vital to many applications in science and engineering, shall be coveredLess
In the recent years the theory of the fluctuating LB, as it was proposed and developed by A.J.C. Ladd in the early 90s, has undergone major developments, both at the level of theoretical foundations and practical implementation. This Chapter provides a cursory view of such developments, with special focus on the general formulation of fluid–solid interactions within the Lattice Boltzmann formalism. Clearly, the rheological behavior of these suspensions is highly accepted by the way the suspended particles interact with the fluid and among themselves. From the mathematical and computational standpoint, this configures a technically thick issue, namely the treatment of fluid-solid moving boundaries, in a more macroscopic-oriented context also known as fluid-structure interactions (FSI). In the sequel, a description of a number of methods which have been developed to include FSI within the LB formalism, is presented. In particular, the case of rigid and deformable bodies, both vital to many applications in science and engineering, shall be covered
