stochastic – TechConnect Briefs

A Sparse Grid based Collocation Method for Model Order Reduction of Finite Element Models of MEMS under Uncertainty

Sumant P.S., Wu H., Cangellaris A.C., Aluru N., University of Illinois at Urbana-Champaign, US

A methodology is proposed for the model order reduction of finite element models of MEMS devices under random input conditions. In this approach, the reduced order system matrices are represented in terms of their convergent [...]

Study of Sample Dispersion Mechanisms in an Electroosmotically Pumped Microchannel

Debusschere B., Najm H., Matta A., Knio O., Ghanem R., Le Maitre O., Sandia National Laboratories, US

In many microfluidic separation processes, dispersion of sample peaks is a significant problem limiting the detection resolution. In this work, we use simulations to study the dominant dispersion mechanisms during a protein labeling process in [...]

Uncertainty Quantification in a Reacting Electrochemical Microchannel Flow Model

Debusschere B., Najm H., Matta A., Shu T., Knio O., Ghanem R., Le Maitre O., Sandia National Laboratories, US

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 [...]

Stochastic Simulations of Cell-Cell Signalling in Hepatocytes

Gracheva M.E., Toral R., Gunton J.D., Lehigh University, US

We present results of a Monte Carlo simulation of stochastic effects for two models of intercellular calcium wave propagation in rat hepatocytes. Both models involve gap junction diffusion by a second messenger. In general taking [...]

Time Series Modelling of Surface Topography Generated by Ultrasonic Machining Process

Murti V.S.R., Naga Prasada Rao B., Krishna Reddy M., Osmania University, IN

In these studies the surface roughness profiles were modelled and analysed for a better understanding of the mechanism of metal erosion in USM. Different materials were selected for this purpose based on their diverse properties [...]

A Stochastic Projection Method for Microchannel Flow

Le Maitre O.P., Knio O.M., Ghanem R.G., Najm H.N., John's Hopkins University, US

The construction and implementaion of a stochastic flow solver is described. The solver combines a spectral stochastic uncertainty representation scheme with a finite difference projection method for flow simulation. The uncertainty quantification scheme is based [...]