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A Unified Gaskinetic Methodology for Full-Knudsen-Range Flows with Chemically…

Award Information

National Aeronautics and Space Administration
Award ID:
Program Year/Program:
2011 / SBIR
Agency Tracking Number:
Solicitation Year:
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Solicitation Number:
Small Business Information
ZONA Technology, Inc.
9489 E. Ironwood Square Drive Scottsdale, AZ 85258-
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Woman-Owned: No
Minority-Owned: Yes
HUBZone-Owned: No
Phase 1
Fiscal Year: 2011
Title: A Unified Gaskinetic Methodology for Full-Knudsen-Range Flows with Chemically Reacting Effects
Agency: NASA
Contract: NNX11CG75P
Award Amount: $99,902.00


ZONA proposes a Unified Gas Kinetic Scheme (UGKS) to cover the full Knudsen number range from the continuum flow to free molecular flow that can simultaneously exist in the jet nozzle flow of the spacecraft. In the UGKS solver, the BGK model of Boltzmann equation is solved directly with finite volume method based on the Discrete Ordinate Method (DOM). In the UGKS computation the convective terms and collision term is computed in one step with a multi-scale scheme without splitting. The UGKS also closely couples the update of macroscopic conservative variables with the update of microscopic gas distribution functions in one step. At the continuum flow regime, the UGKS recovers the Navier-Stokes solutions with much larger time step than regular direct BGK solver where UGKS essentially becomes a shock-capture scheme. In the rarefied flow regime, UGKS recovers the direct BGK method up to the free molecular flow. With the UGKS, the jet-like flow can be simulated with a unique flow solver. Furthermore, a two-species chemical reaction will be incorporated in UGKS. The UGKS will be applied to various test cases whose results will be validated with others' computational results and available experimental data to verify its accuracy and computational efficiency.

Principal Investigator:

Shuchi Yang
Principal Investigator

Business Contact:

Jennifer Scherr
Business Official
Small Business Information at Submission:

ZONA Technology, Inc.
9489 East Ironwood Square Drive Scottsdale, AZ 85258-4578

EIN/Tax ID: 860540628
Number of Employees:
Woman-Owned: No
Minority-Owned: Yes
HUBZone-Owned: No