ASYNCHRONOUS MULTILEVEL ADAPTIVE METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS ON THE NAVIER-STOKES COMPUTER

Award Information
Agency:
National Aeronautics and Space Administration
Branch
n/a
Amount:
$44,000.00
Award Year:
1988
Program:
SBIR
Phase:
Phase I
Contract:
n/a
Award Id:
6841
Agency Tracking Number:
6841
Solicitation Year:
n/a
Solicitation Topic Code:
n/a
Solicitation Number:
n/a
Small Business Information
2629 Redwing Rd Creekside 2, #319, Fort Collins, CO, 80526
Hubzone Owned:
N
Minority Owned:
N
Woman Owned:
N
Duns:
n/a
Principal Investigator:
DANIEL J QUINLAN
() -
Business Contact:
() -
Research Institute:
n/a
Abstract
NASA IS CURRENTLY SUPPORTING A VERY PROMISING PROJECT FOR DEVELOPMENT OF A HIGH-POWERED MULTIPROCESSOR SYSTEM, THE NAVIER-STOKES COMPUTER (NSC). WHILE MULTILEVEL ALGORITHMS ARE BEING STUDIED IN THE NSC ENVIRONMENT FOR SOLVING THE ELLIPTIC EQUATIONS THAT ARISE IN DISCRETIZING INCOMPRESSIBLENAVIER-STOKES EQUATIONS, NO RESEARCH HAS YET FOCUSED ON LOCAL ADAPTIVE SCHEMES FOR THIS PURPOSE. THIS IS IMPORTANT BECAUSE VERY LARGE SCALE PHYSICAL PROBLEMS USUALLY DEMAND LOCAL RESOLUTION TO ACCOUNT FOR SUCH THINGS AS BOUNDARY SINGULARITIES, SHOCKS, AND TRANSITION REGIONS. THE PROJECT PLAN IS TO STUDY SOME VERY PROMISING MULTILEVEL METHODS DEVELOPED RECENTLY BY THE PROPOSERS. THESE METHODS EXHIBIT A VERY HIGH DEGREE OF PARALLELISM AND COMPUTATIONAL EFFICIENCY AND COUPLE WELL WITH AN EFFECTIVE LOAD BALANCER, WHICH WAS ALSO DEVELOPED BY THE PROPOSERS. THE PLAN IN PHASE I IS TO DEVELOP A SIMPLE PROTOTYPE OF THISMETHOD AND STUDY ITS PERFORMANCE ON POISSON'S EQUATION FIRST IN THE NSC SIMULATOR, THEN ON THE NSC ITSELF. PHASE II AND III WILL INVOLVE COUPLING THE ADAPTIVE SCHEME WITH THE LOAD BALANCER, EXTENDING THE CAPABILITIES TO INCLUDE MORE COMPLICATED GRID STRUCTURES AND EQUATION CHARACTERISTICS, MORE INTENSE EXPERIMENTATION, AND DEVELOPMENT OF SOFTWARE.

* information listed above is at the time of submission.

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