Uncertainty quantification in a reacting electrochemical microchannel flow model

B. Debusschere; H. Najm; A. Matta; T. Shu; O. Knio; R. Ghanem; O. Le Maître

Uncertainty quantification in a reacting electrochemical microchannel flow model

B. Debusschere^*, H. Najm, A. Matta, T. Shu, O. Knio, R. Ghanem, O. Le Maître

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Scopus citations

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 coefficients in the PC expansion. The implementation of the resulting uncertainty propagation schemes is illustrated in the context of microfluidic applications, including a homogeneous protein-labeling reaction as well as two-dimensional electrochemical flow.

Original language	English (US)
Title of host publication	2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002
Editors	M. Laudon, B. Romanowicz
Pages	384-387
Number of pages	4
State	Published - 2002
Externally published	Yes
Event	2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002 - San Juan, Puerto Rico Duration: Apr 21 2002 → Apr 25 2002

Other

Other	2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002
Country/Territory	Puerto Rico
City	San Juan
Period	04/21/02 → 04/25/02

Keywords

MicroChannel
Polynomial Chaos
Simulation
Stochastic
Uncertainty

ASJC Scopus subject areas

Engineering(all)

Cite this

@inproceedings{583f713ce3ef425592b91d9bc2aea3a2,

title = "Uncertainty quantification in a reacting electrochemical microchannel flow model",

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 coefficients in the PC expansion. The implementation of the resulting uncertainty propagation schemes is illustrated in the context of microfluidic applications, including a homogeneous protein-labeling reaction as well as two-dimensional electrochemical flow.",

keywords = "MicroChannel, Polynomial Chaos, Simulation, Stochastic, Uncertainty",

author = "B. Debusschere and H. Najm and A. Matta and T. Shu and O. Knio and R. Ghanem and {Le Ma{\^i}tre}, O.",

year = "2002",

language = "English (US)",

isbn = "0970827571",

pages = "384--387",

editor = "M. Laudon and B. Romanowicz",

booktitle = "2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002",

note = "2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002 ; Conference date: 21-04-2002 Through 25-04-2002",

}

Debusschere, B, Najm, H, Matta, A, Shu, T, Knio, O, Ghanem, R & Le Maître, O 2002, Uncertainty quantification in a reacting electrochemical microchannel flow model. in M Laudon & B Romanowicz (eds), 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002. pp. 384-387, 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002, San Juan, Puerto Rico, 04/21/02.

TY - GEN

T1 - Uncertainty quantification in a reacting electrochemical microchannel flow model

AU - Debusschere, B.

AU - Najm, H.

AU - Matta, A.

AU - Shu, T.

AU - Knio, O.

AU - Ghanem, R.

AU - Le Maître, O.

PY - 2002

Y1 - 2002

N2 - 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 coefficients in the PC expansion. The implementation of the resulting uncertainty propagation schemes is illustrated in the context of microfluidic applications, including a homogeneous protein-labeling reaction as well as two-dimensional electrochemical flow.

AB - 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 coefficients in the PC expansion. The implementation of the resulting uncertainty propagation schemes is illustrated in the context of microfluidic applications, including a homogeneous protein-labeling reaction as well as two-dimensional electrochemical flow.

KW - MicroChannel

KW - Polynomial Chaos

KW - Simulation

KW - Stochastic

KW - Uncertainty

UR - http://www.scopus.com/inward/record.url?scp=6344262323&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:6344262323

SN - 0970827571

SN - 9780970827579

SP - 384

EP - 387

BT - 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002

A2 - Laudon, M.

A2 - Romanowicz, B.

T2 - 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002

Y2 - 21 April 2002 through 25 April 2002

ER -

Uncertainty quantification in a reacting electrochemical microchannel flow model

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Keywords

ASJC Scopus subject areas

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