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A High-Order Meshless Bhatnagar-Gross-Krook Scheme Based on Point Collocation |
| SUN Xi-Ming;HE Feng |
| Department of Engineering Mechanics, Tsinghua University, Beijing 100084 |
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| Cite this article: |
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SUN Xi-Ming, HE Feng 2004 Chin. Phys. Lett. 21 233-236 |
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Abstract A point collocation method is combined with the Bhatnagar-Gross-Krook (BGK) scheme. The point collocation method is based on reproducing kernel approximations. The BGK scheme developed is evaluated under the finite difference method framework. After the construction of local equilibrium distribution function, the second-order accurate least-square kinetic upwind method is employed to improve the accuracy. Some test cases are explored to validate this meshless method.
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| Keywords:
02.60.-x
78.20.Bh
31.15.Qg
02.60.Cb
44.05.+e
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Published: 01 February 2004
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| PACS: |
02.60.-x
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(Numerical approximation and analysis)
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78.20.Bh
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(Theory, models, and numerical simulation)
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31.15.Qg
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02.60.Cb
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(Numerical simulation; solution of equations)
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44.05.+e
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(Analytical and numerical techniques)
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