Abstract
Recently, Agarwal and Acheson [1] have reported the development of a Kinetic Wave/Particle Split (KWPS) scheme for the solution of Euler equations. The scheme, however, has been limited to first order accuracy. In this paper, the development of a second-order KWPS scheme is presented. The upwind discretized Boltzmanm equation and its moments with the collision invariant vector form the basis of kinetic schemes. However, the higher-order kinetic schemes cannot be derived by following the standard approach used in obtaining the higher-order upwind discretization of the Euler equations. In this paper, the higher-order accurate KWPS scheme is derived following the method suggested by Estivalezes and Villedieu 6 by taking into account the influence of the first derivatives in the Taylor series expansion of the distribution function. A systematic approach is developed for development of kinetic schemes to any order. The algorithm is applied to a 1-D shock tube problem, a 2-D shock reflection problem, and transonic flow over a circular arc bump in a channel.
| Original language | English |
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| State | Published - 1999 |
| Event | 37th Aerospace Sciences Meeting and Exhibit, 1999 - Reno, United States Duration: Jan 11 1999 → Jan 14 1999 |
Conference
| Conference | 37th Aerospace Sciences Meeting and Exhibit, 1999 |
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| Country/Territory | United States |
| City | Reno |
| Period | 01/11/99 → 01/14/99 |