A conservative discrete ordinate method for model Boltzmann equations |
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Authors: | Juan-Chen Huang |
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Affiliation: | a Department of Merchant Marine, National Taiwan Ocean University, 2 Pei-Ning Road, Keelung 20224, Taiwan |
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Abstract: | A class of conservative discrete ordinate method (C-DOM) for the Bhatnagar–Gross–Krook (BGK) model Boltzmann equation is presented. The C-DOM is the extension of the discrete ordinate method in my previous study (Yang and Huang, 1995 3]). In the C-DOM, a conservative molecular collision process is employed and thus the conservation properties of the collision integral are maintained at the molecular level. For a broad range of Knudsen number, several test problems, including unsteady shock-tube problem and supersonic/hypersonic flows over circular cylinder, are utilized to demonstrate the performance and validity of the DOM and C-DOM. Results show that the C-DOM can greatly reduce the computer time and memory requirements in hypersonic rarefied gas flow computations. |
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Keywords: | Model Boltzmann equation Discrete ordinate method Rarefied gas flow |
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