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An analytical approach to the unified solution of kinetic equations in rarefied gas dynamics. I. Flow problems |
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| Authors: | C S Scherer J F Prolo Filho L B Barichello |
| Institution: | 1. Programa de Pós-Gradua??o em Engenharia Mecanica, Universidade Federal do Rio Grande do Sul, Rua Sarmento Leite, 425, 90050–170, Porto Alegre, RS, Brasil 2. Universidade do Vale do Rio dos Sinos, Unisinos, S?o Leopoldo, RS, Brasil 3. Programa de Pós-Gradua??o em Matemática Aplicada e Computacional, Porto Alegre, Brasil 4. Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Av. Bento Gon?alves, 9500 – Campus do Vale, 91509–900, Porto Alegre, RS, Brasil |
| Abstract: | The ADO method, an analytical version of the discrete-ordinates method, is used to solve several classical problems in the rarefied gas dynamics field. The complete development of the solution, which is analytical in terms of the spatial variable, is presented in a way, such that, a wide class of kinetic models are considered, in an unified approach. A series of numerical results are showed and different simulations are used in order to establish a general comparative analysis based on this consistent set of results provided by the same methodology. Received: July 10, 2007; revised: October 29/December 4, 2007 |
| Keywords: | " target="_blank"> Rarefied gas dynamics kinetic models ADO method discrete ordinates |
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