The AMS sponsored an exhibit at the 21st annual Coalition for National Science Funding (CNSF) Exhibition & Reception on Capitol Hill held on April 29, 2015. Katharine Gurski, Howard University, presented work on “Mathematical Algorithms for Space Weather, Tsunamis, and Plasma Physics.” The Exhibition was attended by 275 people, including ten Members of Congress, to view 35 exhibits on research funded by the National Science Foundation.
The dynamics of space weather is modeled by the magnetohydrodynamics (MFD) equations that capture the interaction between magnetic fields and moving, conducting fluids. The governing equations of MHD consist simply of Newton’s laws of motion and the Maxwell form of the laws of electrodynamics. The goal of Gurski’s research group project is to develop numerical algorithms from applied mathematics to develop solvers for robust, highly accurate, adaptive ideal divergence-free MHD on multidimensional meshes, including geodesic meshes. Partitioning algorithms will enable the numerical simulations to achieve high levels of parallelism.
The algorithms are extended to model multi-dimensional non-conservative hyperbolic systems (for example: shallow water equations including tsunamis, granular flow and plasma physics flows) using path conservation methods and Riemann solvers. Better numerical algorithms based on mathematical insights will result in better simulation models for more accurate predictions.
Professor Gurski and the other exhibitors were able to present their work, funded by the National Science Foundation, to congressional representatives and explain the critical importance of increased, sustained federal investments in basic scientific research.
CNSF is an alliance of over 130 professional societies, universities and corporations united by a concern for the future vitality of the national science, mathematics and engineering enterprise. CNSF supports the goal of increasing the national investment in the National Science Foundation's research and education programs.
Previous AMS exhibits at CNSF Exhibitions include:
Mathematics and Cardiology: Partners for the Future presented by Suncica Canic, University of Houston
Computational Models for Cardiovascular Disease Assessment and Surgery Design presented by DalinTang, Worcester Polytechnic Institute (WPI)
Disease Prediction and Treatment Design presented by Eva K. Lee, Georgia Institute of Technology
Mathematics for Advanced Composites Technology presented by Robert Lipton, Louisiana State University
Mathematical Modeling of Swimming Organisms presented by Lisa Fauci and Nick Cogan, Tulane University
Mathematics of Sea Ice presented by Kenneth M. Golden, University of Utah
Liquid Films and Image Inpainting presented by Andrea Bertozzi, Duke University
Undergraduate Research Opportunities Made Possible by NSF presented by Dr. John Bush, MIT
Computer Simulation of Blood Flow in the Heart presented by Charles S. Peskin, Courant Institute of Mathematical Sciences, New York University
Mathematical Foundations of Image Analysis and Computational Vision presented by Don McClure, Brown University
Ergodic Theory presented by Doug Lind, University of Washington
The Energy of Knots presented with JPBM by Jonathan K. Simon, University of Iowa and Gregory R. Buck, Saint Anselm College
For information on the annual CNSF Exhibition & Reception, please visit the CNSF website.