Past Projects

Development and application of subgrid upscaling (NSF)

Modeling Flow in Porous Media with Vugular Meso-Scale Heterogeneities (NSF)

KDI: Multiscale Physics-Based Simulation of Fluid Flow for Energy and Environmental Applications (NSF)

A posteriori error estimation and up-scaling for mixed finite element methods (NSF)

A Posteriori Error Estimates for Discontinuous Finite Element Methods Applied to Problems in Geosciences and Medicine

Computer Modeling for Risk Assessment and Design in Environmental Remediation using Parallel Finite Elements

Multiscale Physics-based Simulation of Fluid Flow for Energy and Environmental Applications

Parallel Algorithms for Subsurface Water Flow and Transport

Research in New Generation Framework for Reservoir Simulation (DOE)

Simulating the Performance of Water Injection Wells: A Computational Tool for Injection Water Management

Integrated Parallel Accurate Reservoir Simulation (NPACI)

Pollution Remediation (NPACI)

Integrated Oil Production (NPACI)

Integration of Bays and Estuarine Models with Data Management Frameworks (NPACI)

Data Assimilation for Parameter and State Estimation in
Porous Media Flow (funded by NSF and industry)… More >>

Multi-scale flow and transport modeling of large-vug Cretaceous carbonates… More >>

The project is expected to result in substantially improved modeling of flow and transport in vuggy media over the macro-scale, with a solid empirical basis for the selection of the effective parameters in the macro-scale models, and the handling of parameter uncertainty..

Adaptive Multinumeric Finite Element Methods for Shallow Water Flow… More >>

The main focus of this project is to investigate dynamic, h-p adaptive strategies, based on mathematically-sound error estimates, for the numerical solution of shallow water models.

The Data Intense Challenge: The Instrumented Oil Field of the Future… More >>

A major outcome of the proposed research is a computing portal which will enable reservoir simulation and geophysical calculations to interact dynamically with the data and with each other and that will provide a variety of visual and quantitative tools.

Linear and Nonlinear Solvers for Environmental Quality Modeling… More >>

The main objective of this project is to develop new approaches for solving linear and nonlinear problems in saturated-unsaturated groundwater flow application that ranges from higher-order Newton-Krylov methods and preconditioning by means of constraint/decoupling operators for two-phase flow.

Error Estimators/Indicators for Environmental Quality Modeling… More >>

During 2002-2003, under EQM006, a posteriori error bounds and estimators/indicators have been derived for several time dependent EQM applications and prototype software has been developed.

Multicomponent Projects for Energy and the Environment… More >>

The ultimate goal is to develop a geomechanics/reservoir model with millions of degrees of freedom implemented on NPACI resources.

UT Center for Biomedical Engineering (SEED)… More >>

A mathematical approach coupled with quantitative experiments will permit one to elucidate the inter-cellular growth patterns of the vessels within a tissue subjected to other biological and physical indicators.

In Silico Modeling of Tissue Angiogenesis… More >>

Our team has focused on developing angiogenesis strategies for the fields of autologous tissue transfer and tissue engineering, specifically to repair tissue deficits resulting from tumor resection, trauma, and congenital abnormalities.

Comprehensive Uncertainty Qualification for Probabilistic Decision Support in the Environmental Management of Energetic Materials… More >>

Our objective is to develop a comprehensive uncertainty quantification framework to describe the fate and transport of energetic materials in the vadose and saturated zones underlying DoD’s firing ranges.