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Uncertainty Quantification Algorithms and Analysis for Stochastic PDE Systems and Applications in Complex Energy & Environmental Problem

 

 

 

        

Dr. Guang Lin

Pacific Northwest National Laboratory, USA

Email: guang.lin@pnl.gov

 

 

Abstract: Experience suggests that uncertainties often play an important role in quantifying the performance of complex systems. Therefore, uncertainty needs to be treated as a core element in modeling, simulation and optimization of complex systems. In this talk, a new formulation for quantifying uncertainty will be discussed. An integrated simulation framework will be presented that quantifies both numerical and modeling errors in an effort to establish "error bars" in CFD. In particular, stochastic formulations based on Galerkin and collocation versions of the generalized Polynomial Chaos (gPC) will be discussed. Additionally, we will present some effective new ways of dealing with this "curse-of-dimensionality". Particularly, adaptive ANOVA decomposition, random domain decomposition, and some stochastic sensitivity analysis techniques will be discussed in some detail. Several specific examples on flow and transport in randomly heterogeneous porous media, random roughness problem, and uncertainty quantification in carbon sequestration and parameter estimation in climate models will be presented to illustrate the main idea of our approach.

                              

Date&Time: May 21, 2012(Monday), 10:00 – 11:00 a.m.
Location: 606 Conference Room



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