Heterogeneous multiscale methods: a review

E Weinan, B Engquist, X Li, W Ren… - Communications in …, 2007 - nyuscholars.nyu.edu
This paper gives a systematic introduction to HMM, the heterogeneous multiscale methods,
including the fundamental design principles behind the HMM philosophy and the main …

Slippery questions about complex fluids flowing past solids

S Granick, Y Zhu, H Lee - Nature materials, 2003 - nature.com
Viscous flow is familiar and useful, yet the underlying physics is surprisingly subtle and
complex. Recent experiments and simulations show that the textbook assumption of'no slip …

Effective slip in pressure-driven Stokes flow

E Lauga, HA Stone - Journal of Fluid Mechanics, 2003 - cambridge.org
Nano-bubbles have recently been observed experimentally on smooth hydrophobic
surfaces; cracks on a surface can likewise be the site of bubbles when partially wetting fluids …

Mesoscopic modeling of slip motion at fluid-solid interfaces with heterogeneous catalysis

S Succi - Physical review letters, 2002 - APS
The onset of slip motion at fluid-solid boundaries is investigated as a function of the
reflectivity of the solid wall by means of a mesoscopic lattice Boltzmann model. Substantial …

Lattice Boltzmann simulations of contact line motion. I. Liquid-gas systems

AJ Briant, AJ Wagner, JM Yeomans - Physical Review E, 2004 - APS
We investigate the applicability of a mesoscale modeling approach, lattice Boltzmann
simulations, to the problem of contact line motion in one and two component, two phase …

Heterogeneous multiscale method for the modeling of complex fluids and micro-fluidics

W Ren, E Weinan - Journal of Computational Physics, 2005 - Elsevier
The framework of the heterogeneous multiscale method (HMM) is used to develop
numerical methods for the study of macroscale dynamics of fluids in situations, where either …

Lattice Boltzmann simulations of contact line motion in a liquid-gas system

AJ Briant - … Transactions of the Royal Society of London …, 2002 - royalsocietypublishing.org
We use a lattice Boltzmann algorithm for liquid-gas coexistence to investigate the steady-
state interface profile of a droplet held between two shearing walls. The algorithm solves the …

Dynamic mechanisms for apparent slip on hydrophobic surfaces

E Lauga, MP Brenner - Physical Review E—Statistical, Nonlinear, and Soft …, 2004 - APS
Recent experiments [Y. Zhu and S. Granick, Phys. Rev. Lett. 87, 096105 (2001)] have
measured a large, shear-dependent fluid slip at partially wetting fluid-solid surfaces. We …

Green-Kubo relation for friction at liquid-solid interfaces

K Huang, I Szlufarska - Physical Review E, 2014 - APS
We have developed a Green-Kubo relation that enables accurate calculations of friction at
solid-liquid interfaces directly from equilibrium molecular dynamics (MD) simulations and …

Dynamic behavior of miscible binary fluid mixtures in nanopores: Implications for CO2-enhanced oil flow in shale reservoirs

D Feng, Z Chen, K Wu, J Li, Y Gao, J Bi, S Zhang… - Fuel, 2022 - Elsevier
Dynamic behavior of miscible CO 2-oil mixtures is the heart of CO 2 enhanced oil recovery
(EOR) and CO 2 storage in shale reservoirs. However, the omnipresent nanopores not only …