From Groundwater Flow to Crystal Dislocation Dynamics: Solving Differential Equations for the Department of Energy
Developing efficient and accurate simulations of complex physical systems present numerous challenges. Numerical methods, software development, and computer science must come together with the driving science or engineering application in order to produce a truly usable simulation tool. In this presentation, I will discuss the mission of the US Department of Energy and overview a typical mathematician’s job at a DOE laboratory. I will include results from research and software code development in subsurface flow, core collapse supernova, magnetic fusion, crystal dislocations, and power grid modeling. In each case, I will outline the roles of the mathematicians in the work and how they fit into the overall goals of the project.
Carol Woodward is a computational scientist in the Center for Applied Scientific Computing (CASC) at Lawrence Livermore National Laboratory. She leads the Nonlinear Solvers and Differential Equations Project within CASC and is PI or co-PI on research projects in methods for dislocation dynamics, power grid modeling, and scientific code verification. Carol has been a computational scientist with CASC since 1996. Prior to that time, Carol attended Rice University where she received her PhD in Computational Science, and Engineering. Previous to graduate school, Carol attended Louisiana State University where she received a B.S. in Mathematics in 1991.