George Em Karniadakis Professor of Applied Mathematics also:   Senior Lecturer at MIT email: gk@dam.brown.edu

"People who wish to analyze nature without using mathematics must settle for a reduced understanding", Richard Feynman

Courses:

2008-Spring Courses: [APMA2821A]

Dear Prospective Student

Academic background:

George Karniadakis received his S.M. (1984) and Ph.D. (1987) from Massachusetts Institute of Technology. He was appointed a Lecturer in the Department of Mechanical Engineering at MIT in 1987 and subsequently he joined the Center for Turbulence Research at Stanford / Nasa Ames. He joined Princeton University as Assistant Professor in the Department of Mechanical and Aerospace Engineering and as Associate Faculty in the Program of Applied and Computational Mathematics. He was a Visiting Professor at Caltech (1993) in the Aeronautics Department. He joined Brown University as Associate Professor of Applied Mathematics in the Center for Fluid Mechanics on January 1, 1994. He became a full professor on July 1, 1996.  He has been a Visiting Professor and Senior Lecturer of Ocean/Mechanical Engineering at MIT since September 1, 2000. He was Visiting Professor at Peking University (Fall 2007). He is a Fellow of the American Physical Society (APS, 2004-), Fellow of the American Society of Mechanical Engineers (ASME, 2003-) and Associate Fellow of the American Institute of Aeronautics and Astronautics (AIAA, 2006-). He is the recipient of the CFD award (2007) by the US Association in Computational Mechanics.

Research Interests:

His research interests include diverse topics in computational science both on algorithms and applications. A main current thrust is stochastic simulations and multiscale modeling of physical and biological systems. Particular aspects include:

Stochastic differential equations: SISC article

Modeling uncertainty with polynomial chaos: PNAS article, CiSE

Multiscale modeling of biological systems: PNAS article

Atomistic/Mesoscopic modeling - Dissipative Particle Dynamics: PRL article

Low Dimensional Modeling - Gappy Data - Data assimilation: JCP article

Spectral/hp Element and Discontinuous Galerkin methods : OUP Book

Turbulent Drag Reduction: Science article

DNS/LES of turbulence in complex geometries: JFM article

Flow-structure interactions: PRL article

Micro-transport and Dynamic self-assembly: Springer Book

Flow and heat control applications: JFM article

Parallel computing; Interactive/virtual reality computer graphics: CUP Book

Research Accomplishments:

Development of generalized polynomial chaos for stochastic PDEs

Development of spectral/hp element methods on unstructured meshes

First DNS and LES of turbulence in complex geometries

First theoretical/numerical work on gas micro-flows

First DNS of 3D vortex-induced vibration of flexible bodies

Discovery of secondary instability/transition in wake flows

First spectral element simulations of 3D compressible/supersonic flows

First arterial tree simulation on the Teragrid

Work featured on the covers of: Physical Review Letters (April 2004) New Scientist (2000) Science (2000) - featured article Book on Recent Advances in DNS and LES (Kluwer, 1999) ACCESS/NCSA (November 1998) MHPCC'97 (November 1997) Scientific Computing and Automation (June 1994) Physics Today (March 1993) Parity (Japanese, November 1993)

Honors and Awards :

The USACM Computational Fluid Dynamics Award, 2007

Associate Fellow of the American Institute of Aeronautics & Astronautics (AIAA) 2006

Fellow of the American Physical Society (APS) 2004

Fellow of the American Society of Mechanical Engineers (ASME) 2003

17th Robert Bruce Wallace Lecture Award, MIT, 2003

Rheinstein Junior Faculty Award, Princeton University, 1992

Publications By Category

C++ / MPI Book

Spectral Elements Book

Microflows & Nanoflows Book

Discontinuous Galerkin Methods Book

Research Projects in the CRUNCH group

George Karniadakis during a seminar on stochastic simulations

Where to contact George Karniadakis: