Texas Applied Mathematics and Engineering Symposium (TAMES)

TAMES: Texas Applied Mathematics and Engineering Symposium
UT Austin, September 21 – 23, 2017 
Stochastic Simulation Method for Reactive Microfluids under Thermal Fluctuations
One of the essential components needed for realistic simulation of microfluids is the inclusion of thermal fluctuations. Our approach, fluctuating hydrodynamics, adds fluctuations by incorporating random fluxes into diffusion processes. While this description dates back to Landau and Lifshitz, developing general formulations and corresponding numerical schemes beyond the linear approximation of weak fluctuations has been attempted only recently. Accurately modeling fluctuations is even more crucial for simulating a reactive microfluid due to the relatively small population of reactant chemical species and the Poisson character of reactions. We present a robust and efficient numerical method, that is constructed systematically by stochastic analysis. We focus on the simulation of aqueous solutions under the Boussinesq approximation. Our method is designed to have good performance in the large Schmidt number regime. To demonstrate capabilities of our method, we present several numerical examples, where fluctuations in chemistry and hydrodynamics play an essential role.