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MOST OF THE NUMERICAL CODES FOR SOLVING THE COMPRESSIBLE NAVIER-STOKES EQUATIONS OR THE EULER EQUATIONS IN USE TODAY ARE BASED ON FINITE DIFFERENCE SCHEMES.

Award Information
Agency: National Aeronautics and Space Administration
Branch: N/A
Contract: N/A
Agency Tracking Number: 1679
Amount: $49,167.00
Phase: Phase I
Program: SBIR
Solicitation Topic Code: N/A
Solicitation Number: N/A
Timeline
Solicitation Year: N/A
Award Year: 1984
Award Start Date (Proposal Award Date): N/A
Award End Date (Contract End Date): N/A
Small Business Information
510 Clyde Ave
Mountain View, CA 94043
United States
DUNS: N/A
HUBZone Owned: No
Woman Owned: No
Socially and Economically Disadvantaged: No
Principal Investigator
 GOETZ H. KLOPFER
 INVESTIGATOR
 () -
Business Contact
Phone: () -
Research Institution
N/A
Abstract

MOST OF THE NUMERICAL CODES FOR SOLVING THE COMPRESSIBLE NAVIER-STOKES EQUATIONS OR THE EULER EQUATIONS IN USE TODAY ARE BASED ON FINITE DIFFERENCE SCHEMES. MOST OF THESE SCHEMES ARE LINEAR. NONLINEAR SCHEMES, HOWEVER, HAVE MORE DESIRABLE PROPERTIES SUCH AS MONOTONE PRESERVING, INCREASED ACCURACY, AND IMPROVED STABILITY. THUS NUMERICAL SOLUTIONS BASED ON THE NONLINEAR SCHEMES AVOID THE SPURIOUS OSCILLATIONS AT SHOCK WAVES. FOR LINEAR SCHEMES SUCH AS MACCORMACK'S SCHEME, ARTIFICIAL DISSIPATION IS REQUIRED FOR STABILITY AND TO DAMP OUT THE SPURIOUS OSCILLATIONS. WHILE NONLINEAR SCHEMES ARE SUPERIOR TO LINEAR SCHEMES, THEY ARE ALSO MUCH MORE EXPENSIVE TO EXECUTE ON A COMPUTER. TYPICALLY, A NONLINEAR SCHEME REQUIRES ABOUT AN ORDER OF MAGNITUDE MORE COMPUTER TIME THAN A LINEAR SCHEME. IT IS THIS INCREASED COST THAT HAS PREVENTED THE DEVELOPMENT AND UTILIZATION OF BETTER NONLINEAR SCHEMES. THIS PROJECT CONCERNS A PROGRAM TO DEVELOP A PROCEDURE WHEREBY THE EXECUTION OF A NONLINEAR SCHEME CAN BE MADE JUST AS RAPIDLY AND EFFICIENTLY AS FOR A LINEAR SCHEME.

* Information listed above is at the time of submission. *

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