High order spectral volume method for multi-component flows

Liu Na; Chen Yibing

doi:10.11883/1001-1455(2017)01-0114-06

Volume 37 Issue 1

Jan. 2017

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Article Navigation > Explosion And Shock Waves > 2017 > 37(1): 114-119

Liu Na, Chen Yibing. High order spectral volume method for multi-component flows[J]. Explosion And Shock Waves, 2017, 37(1): 114-119. doi: 10.11883/1001-1455(2017)01-0114-06

Citation:

Liu Na, Chen Yibing. High order spectral volume method for multi-component flows[J]. Explosion And Shock Waves, 2017, 37(1): 114-119. doi: 10.11883/1001-1455(2017)01-0114-06

Liu Na, Chen Yibing. High order spectral volume method for multi-component flows[J]. Explosion And Shock Waves, 2017, 37(1): 114-119. doi: 10.11883/1001-1455(2017)01-0114-06

Citation:

Liu Na, Chen Yibing. High order spectral volume method for multi-component flows[J]. Explosion And Shock Waves, 2017, 37(1): 114-119. doi: 10.11883/1001-1455(2017)01-0114-06

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High order spectral volume method for multi-component flows

doi: 10.11883/1001-1455(2017)01-0114-06

Liu Na^{1, 2, 3
,},
Chen Yibing^{1, 3}

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
2.
CAEP Software Center for High Performance Numerical Simulation, Beijing 100088, China
3.
Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received Date: 2015-05-11
Rev Recd Date: 2015-09-20
Publish Date: 2017-01-25

Abstract

Abstract

Numerical simulation of multi-material flows has been an important issues in CFD, and most CFD production codes used for multi-material flow simulation is of either first or second order accuracy, too inefficient and costly with its grid refinement for high accuracy required problems. In this paper, a high-order, efficient, compact method, called the spectral volume method, was developed for the simulation of the multi-material flow as an extension of the spectral volume method for the conservation laws. It has been pointed out that the conservative spectral volume method for the multi-material flow will cause oscillation, and the reason for this has been analyzed. So the idea of quasi-conservative scheme was borrowed to prevent the spurious oscillations in the vicinity of a material contact discontinuity. Several numerical experiments proved that there is no oscillation near the material interface and the result also demonstrates the accuracy, the efficiency and the high performance of the scheme for the multi-material flow simulation.
- fluid mechanics,
- spectral volume method,
- high order,
- stiffened gas,
- multi-component flows,
- compact stencil

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References

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