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A New Hybrid Method for High-Order EM-PIC Simulations

Award Information

Department of Defense
Air Force
Award ID:
Program Year/Program:
2008 / SBIR
Agency Tracking Number:
Solicitation Year:
Solicitation Topic Code:
Solicitation Number:
Small Business Information
Wave Computation Technologies, Inc.
1800 Martin Luther King Jr. Parkway Suite 204 Durham, NC -
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Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No
Phase 2
Fiscal Year: 2008
Title: A New Hybrid Method for High-Order EM-PIC Simulations
Agency / Branch: DOD / USAF
Contract: FA9451-08-C-0064
Award Amount: $500,970.00


Wave Computation Technologies, Inc. (WCT) proposes to develop a new commercial electromagnetic particle-in-cell (EM-PIC) software package based on a 3-D hybrid technique that combines two efficient algorithms, (a) the enlarged cell technique (ECT) and (b) the spectral-element time-domain (SETD) method, as a high-order solver for EM-PIC simulations. This hybrid technique overcomes the well-known limitation of existing EM-PIC solvers due to their stair-stepping approximation. The proposed hybrid method uses domain decomposition to divide the problem into SETD regions with coarse structures and ECT regions with fine structures. As the SETD method has spectral accuracy and the ECT method has second-order accuracy, the overall convergence of this EM-PIC solver is better than second order. In Phase I the team has already developed and demonstrated the prototype of this method. Specifically, we have integrated the ECT with the particle-in-cell calculation, and have achieved the second-order global convergence. The typical computation time for a problem with 5.45 million cells and 1600 time steps is approximately 14 minutes on a desktop computer (Pentium-D 2.8GHz, only 1 CPU is used). This speed is believed to be unprecedented. In Phase II, the proposed 3-D hybrid numerical EM-PIC solver will be integrated into an existing commercial platform to produce a new commercial package, Wavenology PIC. It promises to effectively mitigate spurious effects caused by the stair-stepping approximation in the conventional EM-PIC simulation method. The commercial code will be complete with particle emission and propagation. The algorithm will be scalable, stable and globally at least second order accurate for curved geometries. Issues such as self force, grid heating, non-physical radiation and self heating will be mitigated to globally second-order convergence.

Principal Investigator:

Tian Xiao
Senior Scientist, VP

Business Contact:

Tong Li
Small Business Information at Submission:

305 Perry Creek Drive Chapel Hill, NC 27514

EIN/Tax ID: 203497098
Number of Employees:
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No