DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Zafer Boybeyi, GMU

**Title: ***
Global to Local Scale Atmospheric Modeling Using Solution Adaptive Modeling Technique
*

**Abstract:**
Solution adaptive numerical modeling using unstructured grid techniques is
a relatively new concept for atmospheric modelers and will be discussed in
this talk. Adaptive unstructured grids facilitate the use of very high
resolutions only where needed by the evolving numerical solution. The
rationale for using adaptive unstructured grid technique is that there is
general consensus that the atmospheric processes at all relevant scales
together is an intractable problem. One obvious method to improve the
prediction of numerical models is to enhance the spatial grid resolution.
However, introducing fine spatial resolution throughout a simulation
domain is not always practical since the size of the modeling domain, the
numerous interactions between the various atmospheric processes that span
a multitude of spatial and temporal scales, and the complexity of the
numerical algorithms place restrictions on the grid resolution that can be
achieved using current computers. These limitations prohibit the use of a
uniform high spatial grid resolution that is appropriate to resolve the
smallest scales of interest. One alternative is to develop methodologies
capable of providing local refinement in certain key regions where a high
degree of resolution is required, such as shorelines and areas of large
terrain gradients (i.e., static grid adaptation). In addition,
solution-adaptive simulations can be run to improve the solution by
dynamically adapting the mesh to physical features, such as in predicting
the trajectory of hazardous materials or tracking hurricanes and
convective clouds (i.e., dynamic grid adaptation).

**Time:** Friday, Oct. 29, 2010, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491