Back to Departmental Colloquium: Fall 2005
Departmental Colloquium
Date: Thursday, Nov 10, 2005
Time: 4:15PM
Location: JWB 335
Dave Keyes
Columbia Univ.
Title |
Mathematical Software for High-end Computing and Applications in Fusion Energy Research |
Abstract |
The Terascale Optimal PDE Simulations (TOPS) project is sponsored by the Department of Energy to research, implement, deploy, maintain, and support in collaborations with scientific users a collection of open-source, scalable solvers for the discretized problems in such applications as fusion reactor modeling and design, climate, and combustion. Optimal complexity methods, such as multigrid/multilevel preconditioners, keep the time spent in dominant algebraic kernels linear as the applications scale on massively parallel computers. Krylov accelerators and Jacobian-free variants of Newton’s method, as appropriate, are wrapped around the multilevel methods to deliver robustness in multirate, multiscale coupled systems, which are solved either implicitly or in more traditional forms of operator splitting. The TOPS software framework is being extended beyond direct computational simulation to computational optimization, including design, control, and inverse problems. We outline the capabilities TOPS offers to high-end simulations generally, and illustrate on applications in magnetically confined fusion energy, as the U.S. gears up for participation in the International Thermonuclear Experimental Reactor (ITER) consortium, the ultimate goal of which is abundant exportable energy production capability, outside of the planetary carbon cycle. |
Mathematical Biology
Differential Equations
Computational Mathematics