The polynomial expansion method for boundary value problems of transport in rarefied gases (Q1279684)
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scientific article; zbMATH DE number 1251172
| Language | Label | Description | Also known as |
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| English | The polynomial expansion method for boundary value problems of transport in rarefied gases |
scientific article; zbMATH DE number 1251172 |
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The polynomial expansion method for boundary value problems of transport in rarefied gases (English)
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17 February 1999
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From the literature it is known that in the half-range moment method of solving boundary value problems for Boltzmann equation, difficult bracket integrals are encountered. We discuss here a simplification of such integrals specific to the spherical geometry and applicable for arbitrary values of Knudsen number. A polynomial expansion in velocity space is used to represent the discontinuous factor in these integrals. The accuracy of the method is verified by a comparison of analytical results with available numerical results.
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half-range moment method
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bracket integrals
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spherical geometry
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discontinuous factor
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