Research on the Implicit AUSMV Algorithm for the 1D Gas-Liquid Two-Phase Drift Flux Model

XU Chaoyang; MENG Yingfeng; GUO Jinsong; LI Gao; QIU Quanfeng

doi:10.21656/1000-0887.390110

Volume 40 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2019 > 40(4): 386-397

XU Chaoyang, MENG Yingfeng, GUO Jinsong, LI Gao, QIU Quanfeng. Research on the Implicit AUSMV Algorithm for the 1D Gas-Liquid Two-Phase Drift Flux Model[J]. Applied Mathematics and Mechanics, 2019, 40(4): 386-397. doi: 10.21656/1000-0887.390110

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Research on the Implicit AUSMV Algorithm for the 1D Gas-Liquid Two-Phase Drift Flux Model

doi: 10.21656/1000-0887.390110

¹Directional Drilling Service Company, CNPC Bohai Drilling Engineering Company Limited, Tianjin 300280, P.R.China;²State Key Laboratory of Oil & Gas Reservoir Geology and Exploitation,Southwest Petroleum University, Chengdu 610500, P.R.China;³School of Mathematics & Information, China West Normal University, Nanchong, Sichuan 637000, P.R.China

Funds: The National Science and Technology Major Project of China(2016ZX05021-004);The National Natural Science Foundation of China(51674217)

Received Date: 2018-04-08
Rev Recd Date: 2018-05-21
Publish Date: 2019-04-01

Abstract

Abstract

The time step of the explicit AUSMV (advection upstream splitting method combined with flux vector splitting) algorithm is limited by the CFL (Courant-Friedrichs-Lewy) conditions. To improve computational efficiency, an implicit AUSMV algorithm was proposed for the gas-liquid two-phase drift flux model. The numerical flux of convective terms in the continuity equations and motion equations was set up with the AUSM scheme plus the FVS (flux vector splitting) scheme, while the numerical flux of pressure terms in the motion equations was built with the AUSM scheme. The nonlinear dynamical discrete governing equation system was solved numerically with the 6th-order Newtonian method and the numerical Jacobian matrix. The classical test examples were simulated, which involved the Zuber-Findlay shock tube problem and the variable mass flow problem with complex slip relation. The numerical results show that, the implicit AUSMV algorithm has small dispersion effects, no numerical oscillation and high computational accuracy. Under the condition of high pressure wave velocity, the algorithm has superior calculation efficiency with low dissipation effects.
- gas-liquid two-phase drift flux model,
- AUSMV,
- implicit algorithm,
- 6th-order Newtonian method,
- numerical Jacobian matrix

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References(21)

References

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