Interface Compression Technique in PPM

CHEN Fang; LI Ping; LIU Kun; BAI Jingsong; LIN Jianyu; JI Lucheng

doi:10.11858/gywlxb.20180663

Volume 33 Issue 5

Sep 2019

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Chinese Journal of High Pressure Physics > 2019 > 33(5): 052302.

CHEN Fang, LI Ping, LIU Kun, BAI Jingsong, LIN Jianyu, JI Lucheng. Interface Compression Technique in PPM[J]. Chinese Journal of High Pressure Physics, 2019, 33(5): 052302. doi: 10.11858/gywlxb.20180663

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CHEN Fang, LI Ping, LIU Kun, BAI Jingsong, LIN Jianyu, JI Lucheng. Interface Compression Technique in PPM[J]. Chinese Journal of High Pressure Physics, 2019, 33(5): 052302. doi: 10.11858/gywlxb.20180663

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Interface Compression Technique in PPM

doi: 10.11858/gywlxb.20180663

CHEN Fang^{1, 2
,},
LI Ping^{1,*
,
,},
LIU Kun¹,
BAI Jingsong¹,
LIN Jianyu¹,
JI Lucheng²

1.
Institute of Fluid Physics, CAEP, Mianyang 621999, China
2.
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China

Received Date: 18 Oct 2018
Rev Recd Date: 16 Nov 2018

Abstract

Abstract

This paper describes an artificial interface compression technique for the multi-fluid piecewise parabolic method (PPM). The proposed approach enables the simulation of interfaces between compressible multi-fluid flows with high density ratios and strong shock waves. A compression source term incorporated both interface compression and density correction is added to the mass conservation equation. The compression source term is solved in pseudo-time steps using the interface compression technique and the advection part is solved by multi-fluid PPM. The Strang splitting algorithm achieves second-order accuracy by combining the solutions of the advection operator and the interface compression operator. Numerical tests on the interaction of shock waves with interfaces in compressible multi-fluid flows reveal that multi-fluid PPM combined with the artificial interface compression technique can effectively prevent the smearing phenomenon, which is often observed at the contact interface. For long-time simulations, artificial interface compression with interface sharpening can constrain the thickness of the diffused interface to a few cells and maintain the interface profile. This artificial interface compression technique works well with multi-fluid PPM and the effect is obvious. It is a significant step in the accurate simulation of the collapse of air cavities in water, which involves strong rarefaction waves.
- piecewise parabolic method,
- compressible multi-fluid flows,
- interface compression,
- shock capturing

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References(36)

References

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