Fluctuating lattice-Boltzmann model for complex fluids.

@article{Ollila2011FluctuatingLM,
title={Fluctuating lattice-Boltzmann model for complex fluids.},
author={Santtu T. T. Ollila and Colin Denniston and Mikko Karttunen and Tapio Ala-Nissila},
journal={The Journal of chemical physics},
year={2011},
volume={134 6},
pages={064902}
}

We develop and test numerically a lattice-Boltzmann (LB) model for nonideal fluids that incorporates thermal fluctuations. The fluid model is a momentum-conserving thermostat, for which we demonstrate how the temperature can be made equal at all length scales present in the system by having noise both locally in the stress tensor and by shaking the whole system in accord with the local temperature. The validity of the model is extended to a broad range of sound velocities. Our model features a… CONTINUE READING

FIG. 3. The optimal values of the amplitude K0 of the 14th equilibrium moment for the first-order integrator versus speed of sound squared. We found the function 0.15 + 2.18|(1/3) − (vs/vc)2| a good fit to the data points. K0 was optimized similarly for the other integrators giving K0((vs/vc)2 < 0.25) = 1/3 and K0((vs/vc)2 > 0.25) = 1/ √ 2 for the standard integrator with our noise and K0 = max{3.8(1/3 − (vs/vc)2), 0} for the second-order integrator.