A Priori Error-Controlled Simulations of Electromagnetic Phenomena for HPC

Award Information
Agency: Department of Defense
Branch: Army
Contract: W911NF-11-C-0245
Agency Tracking Number: A11A-015-0066
Amount: $99,957.00
Phase: Phase I
Program: STTR
Awards Year: 2011
Solicitation Year: 2011
Solicitation Topic Code: A11a-T015
Solicitation Number: 2011.A
Small Business Information
Computational Sciences, LLC
8000 Madison Blvd., Suite D102-351, Madison, AL, -
DUNS: 363342069
HUBZone Owned: N
Woman Owned: N
Socially and Economically Disadvantaged: N
Principal Investigator
 Edward Kansa
 Stuff Scientist
 (256) 270-0956
 ejk@comscis.com
Business Contact
 Tatiana Shvetsova
Title: Business Officer
Phone: (256) 270-0956
Email: ts@comscis.com
Research Institution
 North Carolina State University
 Matt Ronning
 2701 Sullivan Drive Admin III,
Admin III, Suite 240
Raleigh, NC, 27695-7514
 (919) 515-2444
 Nonprofit college or university
Abstract
The project will remove a key difficulty that currently hampers many existing methods for computing unsteady electromagnetic waves in unbounded regions. The accuracy and/or stability of the simulations may deteriorate over long times due to the treatment of the outer boundaries via artificial boundary conditions. We propose to develop a universal algorithm and software that will correct this problem by employing the Huygens"principle and quasi-lacunae in the solutions of Maxwell"s equations. The algorithm will provide a temporally uniform guaranteed error bound (no deterioration at all), and the software will enable robust electromagnetic simulations in a high-performance computing environment. The methodology will apply to any geometry, any numerical scheme and any treatment of outer boundaries. It will eliminate the long-time deterioration regardless of both its origin and the way it manifests itself. Dr. Tsynkov of NCSU, who invented this method and is referenced in the Solicitation, is the Academic partner on the project. Phase I includes development of an innovative numerical methodology for high fidelity error-controlled modeling of a broad variety of electromagnetic and other wave-dominated phenomena. Solutions to test problems will be verified against analytical and accurate numerical benchmarks, to demonstrate the feasibility of the proposed approach. In Phase II our innovative algorithms will be implemented as robust commercial software tools in a standalone computational module that can be used to fix existing numerical schemes, along with the treatment of the outer boundaries, in computational electromagnetic codes.

* information listed above is at the time of submission.

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