PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby.

Title:Uncertainty Quantification Algorithms, Multiscale Modeling & Applications for Large-Scale High Dimensional Stochastic PDE Systems
Seminar:Job Candidate Talk
Experience suggests that uncertainties and multiscale feature often play an important role in quantifying the performance of complex systems at different scales. Therefore, uncertainty and multiscale modeling need to be treated as a core element in modeling, simulation and optimization of complex systems. In this talk, a new formulation for quantifying uncertainty in the context of subsurface flow and transport problem 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, 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, uncertainty quantification in carbon sequestration and parameter estimation in climate models will be presented to illustrate the main idea of our approach. A meso-scale particle-based numerical method, Dissipative Particle Dynamics (DPD) and Lattice Boltzmann Fictitious Domain Method are employed to model the red blood cell (RBC) deformation, and sickle cell disease. RBC’s have highly deformable viscoelastic membranes exhibiting complex rheological response and rich hydrodynamic behavior governed by special elastic and bending properties and by the external/internal fluid and membrane viscosities. We present a multiscale RBC model that is able to predict RBC mechanics, rheology, and dynamics in agreement with experiments. The dynamics of RBC’s in shear and Poiseuille flows is tested against experiments.

Room Reservation Information

Room Number:MB114
Date:02 / 06 / 2013
Time:10:15am - 11:15am