Research on the Implicit AUSMV Algorithm for the 1D Gas-Liquid Two-Phase Drift Flux Model
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摘要: 气液两相漂移模型显式AUSMV(advection upstream splitting method combined with flux vector splitting method)算法的时间步长受限于CFL(Courant-Friedrichs-Lewy)条件,为了提高计算效率,建立了一种全隐式AUSMV算法求解气液两相漂移模型.采用AUSM格式结合FVS(flux vector splitting)格式构造连续方程和运动方程的对流项数值通量,AUSM格式构造压力项数值通量.离散控制方程是非线性方程组,采用六阶Newton(牛顿)法结合数值Jacobi矩阵求解.计算经典算例Zuber-Findlay激波管问题和复杂漂移关系变质量流动问题,结果分析表明:全隐式AUSMV算法,色散效应小,无数值震荡,计算精度高.在压力波波速高的条件下,可以显著提高计算效率,耗散效应小.
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关键词:
- 气液两相漂移模型 /
- AUSMV格式 /
- 全隐式算法 /
- 六阶Newton法 /
- 数值Jacobi矩阵
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. -
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