M ULTIPHYSICS M ODELING NOISE IN ALGORITHM REFINEMENT METHODS

Hybrid or algorithm refinement (AR) schemes have focused mainly on the mean behavior of system states. However, variances in these behaviors, such as spontaneous fluctuations, are important for modeling certain phenomena. This article discusses the effects of statistical fluctuations on hybrid computational methods that combine a particle algorithm with a partial differential equation solver. 1521-9615/05/$20.00 © 2005 IEEE Copublished by the IEEE CS and the AIP Hybrid or algorithm refinement (AR) methods facilitate the simulation of multiscale phenomena (see the Guest Editors ’ Introduction on page 14). An important consideration when designing hybrid algorithms is how the coupling of two types of solvers impacts the accuracy of the individual methods. For the most part, the developmen