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MATRIX-FREE SOLUTION ALGORITHMS IN A FINITE ELEMENT CONTEXT

Award Information

Agency:
National Science Foundation
Branch:
N/A
Award ID:
7506
Program Year/Program:
1988 / SBIR
Agency Tracking Number:
7506
Solicitation Year:
N/A
Solicitation Topic Code:
N/A
Solicitation Number:
N/A
Small Business Information
Fluid Dynamics
500 Davis Street, Suite 600 Evanston, IL 60201
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Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No
 
Phase 1
Fiscal Year: 1988
Title: MATRIX-FREE SOLUTION ALGORITHMS IN A FINITE ELEMENT CONTEXT
Agency: NSF
Contract: N/A
Award Amount: $49,000.00
 

Abstract:

FINITE ELEMENT METHODS (FEM) APPLIED TO COMPUTATIONAL FLUID DYNAMICS OPEN UP THE POSSIBILITY OF NUMERICAL SIMULATION OF HIGHLY COMPLEX FLUID FLOWS OCCURRING IN INDUSTRIAL SITUATIONS. THE STATE-OF-THE-ART LIMITATION ON THE USE OF FEM IS COMPUTER RESOURCES: THE METHOD REQUIRES THE SOLUTION OF A VERY LARGE SYSTEM OF ALGEBRAIC EQUATIONS, CURRENTLY EFFECTED BY INVERTING THE JACOBIAN MATRIX, A PROCESS INVOLVING VERY HIGH COSTS IN COMPUTER TIME, IO AND PERIPHERAL STORAGE. THIS RESEARCH PROJECT AIMS TO INVESTIGATE AND IMPLEMENT A NEW MATRIX-FREE SOLUTION TECHNIQUE THAT OBVIATES THE COSTLY MATRIX INVERSION; THIS TECHNIQUE IS BASED ON A VARIANT OF THE CONJUGATE GRADIENT METHOD. RECENT RESEARCH AND TESTING ON SIMPLE PROBLEMS HAS INDICATED THE PROSPECT OF A DRAMATIC SAVING IN COSTS. SUCCESSFUL IMPLEMENTATION IN A FEM, FLUID DYNAMICS CONTEXT WILL VASTLY EXPAND THE RANGE OF FLOWS (TURBULENT, NON-NEWTONIAN, THREE-DIMENSIONAL) THAT CAN BE SIMULATED WITHCURRENTLY AVAILABLE HARDWARE.

Principal Investigator:

Michael s engelman phd
0

Business Contact:

Small Business Information at Submission:

Fluid Dynamics Intl Inc
1600 Orrington Avenue Suite 400 Evanston, IL 60201

EIN/Tax ID:
DUNS: N/A
Number of Employees: N/A
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No