Computational Applied Mathematics
Computational Fluid Dynamics
James Glimm
Distinguished Professor
Glimm has made fundamental contributions to nonlinear analysis, to quantum field theory,
and to computational fluid dynamics.
Yuefan Deng
Professor
Research spans two highly synergistic aspects of computational science: algorithm
development and scientific applications.
Xiaolin Li
Professor
Research objective is to design and implement a high resolution numerical method,
the front tracking method, for the study of fluid interface instabilities such as
the Rayleigh-Taylor instability and the
Richtmyer-Meshkov instability.
Roman Samulyak
Professor
Research involves mathematical modeling, numerical algorithms, and high performance
computing.
Xiangmin (Jim) Jiao
Associate Professor, Graduate Program Director
Research interests are in high-performance geometric and numerical computing in science
and engineering.
High Performance Scientific Computing and Numerical Analysis
The Department of Applied Mathematics and Statistics has departmental computing resources
that are second to
none.
In 2006, the department helped the University acquire a 3Tf cluster from IBM called
the Seawulf Cluster; our department is the University leader in the use of this machine. Then in 2007,
New York State acquired a 100Tf IBM Blue Gene machine to foster technology-based industry
on Long Island.
At the time of its installation, it was the sixth fastest supercomputer in the world.
Stony Brook and Brookhaven National Laboratory (which is administered for the Department
of Energy by Stony Brook) are the co-owners of the machine. James Glimm is a scientific
director of the New York Center for Computational Center which manages the Blue Gene machine.
Yuefan Deng and Xiaolin Li have led this development of parallel computing hardware
and software systems. The primary users of the high-performance computing facilities
are members of the computational fluid dynamics group and the computational biologists.
Over a dozen interdisciplinary problem areas are being pursued in this effort, including
genome sequencing, manufacturing processes, fluid flow, molecular dynamics, semiconductor
fabrication, crack propagation, climate modeling, and modeling financial markets.
Stony Brook faculty have pioneered an important new methodology, called front tracking,
for numerically studying shock waves. Front tracking has been adopted by the Department
of Energy for many of its fluid dynamics calculations, including simulating nuclear
explosions.