HIGH-RESOLUTION CALCULATIONS IN GAS DYNAMICS

Award Information
Agency:
National Science Foundation
Branch
n/a
Amount:
$231,583.00
Award Year:
1991
Program:
SBIR
Phase:
Phase II
Contract:
n/a
Award Id:
11785
Agency Tracking Number:
11785
Solicitation Year:
n/a
Solicitation Topic Code:
n/a
Solicitation Number:
n/a
Small Business Information
1120 New Hampshire Ave #500, Silver Spring, MD, 20904
Hubzone Owned:
N
Minority Owned:
N
Woman Owned:
N
Duns:
n/a
Principal Investigator:
Jacob Krispin
() -
Business Contact:
() -
Research Institution:
n/a
Abstract
TWO APPROACHES ARE POSSIBLE FOR OBTAINING NUMERICAL SOLUTIONS TO STEADY FLOW PROBLEMS IN AERODYNAMICS. ONE MAY SOLVE THE UNSTEADY EQUATIONS (EITHER TIME ACCURATELY OR NOT)WITH AN INITIAL GUESS; OR, THE STEADY EQUATIONS MAY BE SOLVED DIRECTLY. FOR THOSE SITUATIONS (E.G., MISSILE AERODYNAMICS, REENTRY) FOR WHICH THE FLOW FIELD IS ENTIRELY SUPERSONIC, THE STEADY EQUATIONS THEMSELVES ARE HYPERBOLIC AND EXPLICIT (I.E., NO MATRIX INVERSIONS) MARCHING SCHEMES ARE POSSIBLE. THIS REDUCES THE COMPUTER PROBLEM BY A FULL DIMENSION. WE PROPOSE TO ADAPT VERSIONS OF THE SECOND-ORDER GODUNOV AND OTHER RELATED UPWIND SCHEMES FOR SUPERSONIC STEADY FLOW APPLICATIONS. THESE SCHEMES HAVE BEEN EXTENSIVELY USED IN UNSTEADY GAS DYNAMICS (AS WELL AS OTHER SYSTEMS OF HYPERBOLIC CONSERVATION LAWS SUCH AS OIL RESERVOIR SIMULATION) WITH SUBSTANTIAL SUCCESS DURING THE 1980'S. THE ALGORITHM WILL BE TESTED ON THE STEADY ANALOGUE OF THE PROBLEM OF (UNSTEADY) SELF-SIMILAR SHOCK WAVE REFLECTION. IN PARTICULAR, WE ARE INTERESTED IN RESOLVING THE QUESTION OF WHETHER OR NOT MACH REFLECTION MUST BE SIMPLE (OBSERVED EXPERIMENTALLY), OR MAY BE COMPLEX OR DOUBLE AS IN THE UNSTEADY CASE. THIS QUESTION IS OF INTEREST FOR THE COMPLEX GEOMETRICS IN INLET FLOW FIELDS.

* information listed above is at the time of submission.

Agency Micro-sites


SBA logo

Department of Agriculture logo

Department of Commerce logo

Department of Defense logo

Department of Education logo

Department of Energy logo

Department of Health and Human Services logo

Department of Homeland Security logo

Department of Transportation logo

Enviromental Protection Agency logo

National Aeronautics and Space Administration logo

National Science Foundation logo
US Flag An Official Website of the United States Government