This paper focuses on the extension of the Weighted Average Flux (WAF) scheme for the numerical simulation of two-phase gas–liquid flow by imposing velocity equilibrium and without mechanical equilibrium of the transient drift-flux model. The model becomes a hyperbolic system of conservation laws with realistic closure relations where both phases are strongly coupled during their motion. Exploiting this, the drift-flux model discretization, simulation and investigation becomes very fast, simple and robust. The efficiency of the WAF scheme as being a second order in space and time without data reconstruction have been demonstrated in the published literature for compressible single-phase flows. However, the scheme is rarely applied to compressible two-phase flows. Based on a recent and complete exact Riemann solver for the drift-flux model, the model is numerically solved by the WAF scheme. The numerical algorithm accuracy and ability are validated through different published test cases. It is shown that the proposed scheme can be effectively employed to simulate two-phase flows involving discontinuities such as shocks and interfaces. The proposed WAF scheme is also compared with other numerical methods. Simulation results show appropriate agreement of WAF scheme even with the exact solutions. Comparisons of the presented simulations demonstrate that the behaviour of WAF scheme is encouraging, more accurate and fast than other numerical methods.

本文重点介绍加权平均通量 (WAF) 方案的扩展，通过施加速度平衡和无瞬态漂移通量模型的机械平衡，用于两相气液流动的数值模拟。该模型成为具有现实闭合关系的守恒定律的双曲线系统，其中两个相在其运动过程中强烈耦合。利用这一点，漂移通量模型的离散化、模拟和研究变得非常快速、简单和稳健。WAF 方案的效率作为空间和时间的二阶而无需数据重建，已在已发表的可压缩单相流文献中得到证明。然而，该方案很少应用于可压缩的两相流。基于用于漂移通量模型的最新且完整的精确黎曼求解器，该模型通过 WAF 方案进行数值求解。数值算法的准确性和能力通过不同的已发布测试用例进行验证。结果表明，所提出的方案可以有效地用于模拟涉及诸如冲击和界面等不连续性的两相流。所提出的 WAF 方案也与其他数值方法进行了比较。仿真结果表明，即使有精确解，WAF 方案也具有适当的一致性。所呈现的模拟的比较表明，WAF 方案的行为令人鼓舞，比其他数值方法更准确、更快速。结果表明，所提出的方案可以有效地用于模拟涉及诸如冲击和界面等不连续性的两相流。所提出的 WAF 方案也与其他数值方法进行了比较。仿真结果表明，即使有精确解，WAF 方案也具有适当的一致性。所呈现的模拟的比较表明，WAF 方案的行为令人鼓舞，比其他数值方法更准确、更快速。结果表明，所提出的方案可以有效地用于模拟涉及诸如冲击和界面等不连续性的两相流。所提出的 WAF 方案也与其他数值方法进行了比较。仿真结果表明，即使有精确解，WAF 方案也具有适当的一致性。所呈现的模拟的比较表明，WAF 方案的行为令人鼓舞，比其他数值方法更准确、更快速。