A three-order finite volume method and its applicationto under-expanded jet shock wave structure simulation

Xie Zheng; Xie Jian; Li Liang

doi:10.11883/1001-1455(2017)02-0347-06

Volume 37 Issue 2

Mar. 2017

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Xie Zheng, Xie Jian, Li Liang. A three-order finite volume method and its applicationto under-expanded jet shock wave structure simulation[J]. Explosion And Shock Waves, 2017, 37(2): 347-352. doi: 10.11883/1001-1455(2017)02-0347-06

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Xie Zheng, Xie Jian, Li Liang. A three-order finite volume method and its applicationto under-expanded jet shock wave structure simulation[J]. Explosion And Shock Waves, 2017, 37(2): 347-352. doi: 10.11883/1001-1455(2017)02-0347-06

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A three-order finite volume method and its applicationto under-expanded jet shock wave structure simulation

doi: 10.11883/1001-1455(2017)02-0347-06

Military Key Laboratory for Armament Launch Theory & Technology, The Second Artillery Engineering University, Xi'an 710025, Shaanxi, China

Received Date: 2015-10-26
Rev Recd Date: 2016-03-31
Publish Date: 2017-03-25

Abstract

Abstract

By considering the under-expanded jet flow from nozzle exit, the integral form Euler equations for unsteady compressible flow in the Lagrange coordinates of a moving control volume was developed. By using three-order essentially non-oscillatory (ENO) interpolations at cell interfaces, a three-order ENO finite volume method for the integral form Euler equations was presented. The Sod shock tube case and nozzle outlet under-expanded jet shock wave structures were used to test the proposed scheme. The numerical results demonstrate that the method is accurate and non-oscillatory, and it can capture the wave structures of jet flow fields including shock cell structure, slip lines, jet boundary and the triple point well. Meanwhile, the simulated Mach disk locations in wave structures coincide with the experimentally measured ones, especially the error of the first Mach disk locations in wave structures between the numerical results and the experimental results was less than 1.1%.
- shock wave structures,
- essentially non-oscillatory,
- finite volume method,
- under-expanded jet

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References(13)

References

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