SIMULATION OF SHOCK-CONTAINING FLOWS USING A COMPACT FINITE DIFFERENCE SCHEME AND A WEIGHED ESSENTIALLY NON-OSCILLATORY FILTER

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BOZORGPOOR REZA; SHAFAEE ROSHAN MAZIAR; Mahmoodi Darian Hossein

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Journal: Modares Mechanical Engineering Year:2017 | Volume:17 | Issue:5 Page(s): 201-210

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Title

SIMULATION OF SHOCK-CONTAINING FLOWS USING A COMPACT FINITE DIFFERENCE SCHEME AND A WEIGHED ESSENTIALLY NON-OSCILLATORY FILTER

Author(s)

BOZORGPOOR REZA | SHAFAEE ROSHAN MAZIAR | Mahmoodi Darian Hossein | Issue Writer Certificate

Keywords

HYBRID FILTERQ1

SHOCK SENSORQ1

SHOCK-CAPTURING SCHEMESQ1

COMPACT FINITE-DIFFERENCE SCHEMESQ1

WEIGHTED ESSENTIALLY NON-OSCILLATORY SCHEMESQ1

Abstract

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 with 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 nonoscillatory scheme.

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APA: Copy

BOZORGPOOR, REZA, SHAFAEE ROSHAN, MAZIAR, & Mahmoodi Darian, Hossein. (2017). SIMULATION OF SHOCK-CONTAINING FLOWS USING A COMPACT FINITE DIFFERENCE SCHEME AND A WEIGHED ESSENTIALLY NON-OSCILLATORY FILTER. MODARES MECHANICAL ENGINEERING, 17(5 ), 201-210. SID. https://sid.ir/paper/179177/en

Vancouver: Copy

BOZORGPOOR REZA, SHAFAEE ROSHAN MAZIAR, Mahmoodi Darian Hossein. SIMULATION OF SHOCK-CONTAINING FLOWS USING A COMPACT FINITE DIFFERENCE SCHEME AND A WEIGHED ESSENTIALLY NON-OSCILLATORY FILTER. MODARES MECHANICAL ENGINEERING[Internet]. 2017;17(5 ):201-210. Available from: https://sid.ir/paper/179177/en

IEEE: Copy

REZA BOZORGPOOR, MAZIAR SHAFAEE ROSHAN, and Hossein Mahmoodi Darian, “SIMULATION OF SHOCK-CONTAINING FLOWS USING A COMPACT FINITE DIFFERENCE SCHEME AND A WEIGHED ESSENTIALLY NON-OSCILLATORY FILTER,” MODARES MECHANICAL ENGINEERING, vol. 17, no. 5 , pp. 201–210, 2017, [Online]. Available: https://sid.ir/paper/179177/en

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