Fluctuating lattice Boltzmann
By R. Adhikari, K. Stratford, M. E. Cates, A. Wagner. 2004
184 citations recorded by the source corpus.
The lattice Boltzmann algorithm efficiently simulates the Navier-Stokes equation of isothermal fluid flow, but ignores thermal fluctuations of the fluid, important in mesoscopic flows. We show how to adapt the algorithm to include noise, satisfying a fluctuation-dissipation theorem (FDT) directly at lattice level: this gives correct fluctuations for mass and momentum densities, and for stresses, at all wave vectors k. Unlike previous work, which recovers FDT only as k → 0, our algorithm offers full statistical mechanical consistency in mesoscale simulations of, e.g., fluctuating colloidal hydrodynamics.
Subfields: Computational Mechanics, Computer Vision and Pattern Recognition
View Paper: https://www.semanticscholar.org/paper/5c775a5499b4710bd31a29b6c429ffa428123008
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
In Computer Vision and Pattern Recognition
Citations in the corpus
- On the Accuracy of Finite-Volume Schemes for Fluctuating Hydrodynamics (2009, methodology): “[45] have included stress fluctuations in (isothermal) Lattice Boltzmann methods for some time, and recently a better theoretical foundation has been established [1; 26].”