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Efficient method for computing rarefied gas flow in a long finite plane channelстатья
- Авторы: Titarev V.A., Shakhov E.M.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 52
- Номер: 2
- Год издания: 2012
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 269
- Последняя страница: 284
- DOI: 10.1134/s0965542512020145
- Аннотация: The linearized kinetic S-model is used to study the nonisothermal steady rarefied gas flowdriven by differences in pressure and temperature in a plane channel between long finite parallel plates joining two tanks of infinite volume. An efficient composite (asymptotic) method is developed: a one-dimensional asymptotic solution corresponding to an infinitely long channel is constructed in the middle part of the computational domain, while a solution of the two-dimensional kinetic equation matched with the middle-part asymptotic solution is constructed near the ends of the channel. Thelatter solution is found numerically by a high-order accurate conservative method. The basic quantity to be computed is the gas flow rate through the channel. Characteristic flow features are also investigated. The resulting solutions are compared with previously known results.
- Добавил в систему: Титарев Владимир Александрович