@article{38991,
  keywords = {coagulation, systems, dynamics, integration, populations, equation-free, simulation, aggregation, Monte-Carlo simulation, aerosol, Equation-free   computation, maximum-entropy, Quadrature Method of Moments, Sintering, size distribution},
  author = {Yu Zou and Michail Kavousanakis and Ioannis Kevrekidis and Rodney Fox},
  title = {Coarse-grained computation for particle coagulation and sintering processes by linking Quadrature Method of Moments with Monte-Carlo},
  abstract = { <p>The study of particle coagulation and sintering processes is important in a variety of research studies ranging from cell fusion and dust motion to aerosol formation applications. These processes are traditionally simulated using either Monte-Carlo methods or integro-differential equations for particle number density functions. In this paper, we present a computational technique for cases where we believe that accurate closed evolution equations for a finite number of moments of the density function exist in principle, but are not explicitly available. The so-called equation-free computational framework is then employed to numerically obtain the solution of these unavailable closed moment equations by exploiting (through intelligent design of computational experiments) the corresponding fine-scale (here, Monte-Carlo) simulation. We illustrate the use of this method by accelerating the computation of evolving moments of uni- and bivariate particle coagulation and sintering through short simulation bursts of a constant-number Monte-Carlo scheme. (C) 2010 Elsevier Inc. All rights reserved.</p> },
  year = {2010},
  journal = {Journal of Computational Physics},
  volume = {229},
  pages = {5299-5314},
  month = {07/2010},
  isbn = {0021-9991},
  language = {English},
}