Applied Mathematics– Computational Engine Research – F. Tanner– Simulation of Food Sprays – F. Tanner– Multiphase Fluid Systems – K. Feigl– Cardiac Dynamics – W. Ying

Statistical Genetics Group– Q. Sha, R. Jiang, J. Dong, S. Zhang, H. Chen

Department of Mathematical Sciences

March 2008 Computing Initiative

• Motivation– Health and Environmental

– Sustainability

• Main Objectives– Understand physical processes

– Develop simulation tools

• Results– Strategy to minimize fuel consumption

and emissions– Multi-orifice asynchronous injection

Computational Engine Research

Mass fraction of an evaporating fuel spray

March 2008 Computing Initiative

• Motivation– Spray-drying and spray-freezing

– Encapsulation of nutrients

• Main Objectives– Obtain desired drop size distributions

– Maximize production

• Modeling Challenges/Research– Complex flows and materials

– Phase changes

Modeling of Food Sprays

Air-assisted atomization of a nutriose liquid spray

March 2008 Computing Initiative

• Examples/Applications– Emulsions, foams, polymer blends

– Foods, plastics, pharmaceuticals

• Goals– Understand process-microstructure-

rheology relationship

– Design processes to optimize product properties

• Research– Multidisciplinary approach

– Combine modeling, simulation and experiments

Simulation of Fluid Systems

Simulated deformation of afluid droplet

March 2008 Computing Initiative

Droplet deforming in supercriticalshear flow

Droplet deforming in supercriticalelongational flow

March 2008 Computing Initiative

Simulation of Fluid Systems

• Wenjun Ying– Ph.D. Math – Duke University

– Post-doc – Biomedical Eng. – Duke University

• Modeling electrical dynamics in the heart using adaptive meshes

Simulation of Cardiac Dynamics

Simulation of Dog Heart

March 2008 Computing Initiative

• Sixteen Members– 5 faculty– 2 post-docs

– 9 PhD Students

• Supported by 4 NIH Grants

• Total funding of over $1 million

Statistical Genetics Group

March 2008 Computing Initiative

Group Aims– Develop new tools for analysis

of genomic data– Use innovative models and

methods in human genetic studies

Key Research Areas– Functional gene mapping– Pedigree analysis– Gene interactions– Computational methodologies– Microarray analysis

March 2008 Computing Initiative

Statistical Genetics Group