Abstract

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 electricfield 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.

Original languageEnglish (US)
Title of host publicationMicro/Nano Technology Systems for Biomedical Applications
Subtitle of host publicationMicrofluidics, Optics, and Surface Chemistry
PublisherOxford University Press
Volume9780199219698
ISBN (Electronic)9780191594229
ISBN (Print)9780199219698
DOIs
StatePublished - Sep 1 2010

Keywords

  • Biofluids
  • Brownian dynamics
  • Dissipative particle dynamics
  • Lattice Boltzmann
  • Molecular dynamics
  • Multiscale
  • Quantum
  • Smoothed particle hydrodynamics
  • Stochastic rotation dynamics

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Aluru, N. R., & Karniadakis, G. E. (2010). Numerical Simulation Of Microflows And Nanoflows. In Micro/Nano Technology Systems for Biomedical Applications: Microfluidics, Optics, and Surface Chemistry (Vol. 9780199219698). Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199219698.003.0003