Nano Science and Technology Institute
Nanotech 2002 Vol. 1
Nanotech 2002 Vol. 1
Technical Proceedings of the 2002 International Conference on Modeling and Simulation of Microsystems
Chapter 7: Numerics

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, US
Pages:384 - 387
Keywords:microchannel, polynomial chaos, uncertainty, stochastic, simulationtions
Abstract: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.
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