Volume 17, Issue 5 (2017)                   Modares Mechanical Engineering 2017, 17(5): 201-210 | Back to browse issues page

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Bozorgpoor R, Shafaee M, Mahmoodi Darian H. Simulation of shock-containing flows using a compact finite difference scheme and a weighed essentially non-oscillatory filter. Modares Mechanical Engineering. 2017; 17 (5) :201-210
URL: http://mme.modares.ac.ir/article-15-10205-en.html
1- master science student
2- University of Tehran
3- Assistant professor
Abstract:   (2077 Views)
In the present paper, a hybrid filter is introduced to simultaneously preserve the stability and accuracy and also to eliminate unwanted oscillations in the numerical simulation of shock-containing flows. The fourth-order compact finite difference scheme is used for the spatial discretization and the third-order Runge-Kutta scheme is used for the time integration. After each time-step, the hybrid filter is applied on the results. The filter is composed of a linear sixth-order filter and the dissipative part of the fifth-order weighted essentially non-oscillatory scheme. Using a shock-detecting sensor, the hybrid filter reduces to the linear sixth-order filter in smooth regions and to the fifth-order weighted essentially non-oscillatory filter in shock regions in order to eliminate unwanted oscillations produced by the non-dissipative spatial discretization method. The filter performance and accuracy of the results are examined through several test cases including the linear wave equation and one- and two-dimensional Euler equations of gas dynamics. The results are compared by that of a hybrid filter which is composed of the linear sixth-order and the second-order linear filter and that of the fifth-order weighted essentially non-oscillatory scheme.
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Article Type: Research Article | Subject: CFD
Received: 2017/01/18 | Accepted: 2017/03/6 | Published: 2017/05/3

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