Nanotech 2002 Vol. 1
Nanotech 2002 Vol. 1
Technical Proceedings of the 2002 International Conference on Modeling and Simulation of Microsystems

Numerics Chapter 7

Uncertainty Quantification in a Reacting Electrochemical Microchannel Flow Model

Authors: B. Debusschere, H. Najm, A. Matta, T. Shu, O. Knio, R. Ghanem and O. Le Maitre

Affilation: Sandia National Laboratories, United States

Pages: 384 - 387

Keywords: microchannel, polynomial chaos, uncertainty, stochastic, simulationtions

We describe a technique for modeling electrochemical microchannel flows including the propagation of uncertainty from model parameters and boundary conditions to the model predictions. The approach uses a pseudo-spectral stochastic construction with a polynomial chaos (PC) representation for parameters and field quantities. Using a Galerkin approach, the governing equations are reformulated into equations for the coeffcients in the PC expansion. The implementation of the resulting uncertainty propagation schemes is illustrated in the context of micro fluidic applications, including a homogeneous protein-labeling reaction as well as two-dimensional electrochemical flow.

ISBN: 0-9708275-7-1
Pages: 764