A universal framework for non-deteriorating time-domain numerical algorithms in Maxwell's electrodynamics

Award Information
Agency: Department of Defense
Branch: Army
Contract: W911NF-13-P-0020
Agency Tracking Number: A13A-008-0125
Amount: $149,946.00
Phase: Phase I
Program: STTR
Awards Year: 2013
Solicitation Year: 2013
Solicitation Topic Code: A13A-T008
Solicitation Number: 2013.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
 Staff Scientist
 (256) 270-0956
 ek@comscis.com
Business Contact
 Tatiana Shvetsova
Title: Business Officer
Phone: (256) 270-0956
Email: tatiana.shvetsova.comscis@gmail.com
Research Institution
 North Carolina State University
 Matt Ronning
 2701 SullivanDrive 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 on unbounded regions. Numerical accuracy and/or stability may deteriorate over long times due to the treatment of artificial outer boundaries. We propose to develop a universal algorithm and software that will correct this problem by employing the Huygens'principle and quasi-lacunae of Maxwell's equations. The algorithm will provide a guaranteed error bound, uniform in time (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 scheme, and any boundary condition. It will eliminate the long-time deterioration regardless of its origin and how it manifests itself. Dr. Tsynkov who co-invented this method 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 phenomena. Proof-of-concept 3D computations will be conducted and verified against benchmarks, to demonstrate efficiency of the proposed approach. In Phase II our algorithms will be implemented as robust commercial software tools in a standalone module that can be combined with existing numerical schemes in computational electromagnetic codes.

* information listed above is at the time of submission.

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