@article{39506,
  keywords = {molecular-dynamics, nonlinear schrodinger-equation, systems, bifurcation-analysis, simulation, homogenization problems, reconstruction, flow, focusing   singularity},
  author = {Yu Zou and Ioannis Kevrekidis and Roger Ghanem},
  title = {Equation-free particle-based computations: Coarse projective integration and coarse dynamic renormalization in 2D},
  abstract = { <p>Equation-free approaches have been proposed in recent years for the computational study of multiscale phenomena in engineering problems where evolution equations for the coarse-grained, system-level behavior are not explicitly available. In this paper, we study the dynamics of a diffusive particle system in a laminar shear flow, described by a two-dimensional Brownian motion; in particular, we perform coarse projective integration and demonstrate the particle-based computation of coarse self-similar and asymptotically self-similar solutions for this problem. We use marginal and conditional inverse cumulative distribution functions ( ICDFs) as the macroscopic observables of the evolving particle distribution.</p> },
  year = {2006},
  journal = {Industrial \& Engineering Chemistry Research},
  volume = {45},
  pages = {7002-7014},
  month = {10/2006},
  isbn = {0888-5885},
  language = {English},
}