Gas-liquid two-phase flows in pipes are present in a variety of engineering applications. These applications require transient one-dimensional mathematical models coupled with robust numerical methods to simulate the flow behavior in time and space. As there exist several possible combinations of models and numerical methods, questions arise as to the suitability of these numerical models to best accommodate the problem features. Aiming to partially answer this question, we present in this work numerical simulations of two well-known gas-liquid benchmarks, the water faucet, and the shock tube problems, carried out with two two-fluid models – 4E1P (four equations and one pressure) and 5E2P (five equations and two pressures) – in association with three numerical methods – FCT (Flux-Corrected Transport method), FORCE (First-Order Centered Scheme) and ModFORCE. The numerical methods used herein are written in a general form and do not require the solution of the associated Riemann problem. The obtained results are sought to serve as a reference to choose the best approaches, among the ones studied, to tackle some transient one-dimensional two-phase flow problems, highlighting the advantages and disadvantages of each model and method combination regarding hyperbolicity, diffusive and dispersive effects. Overall, the combination of the 5E2P model with the ModFORCE numerical method provides the most accurate results compared to the analytical solutions available.

管道中的气液两相流存在于各种工程应用中。这些应用需要瞬态一维数学模型以及稳健的数值方法来模拟时间和空间中的流动行为。由于模型和数值方法存在多种可能的组合，因此出现了关于这些数值模型是否适合最好地适应问题特征的问题。为了部分回答这个问题，我们在这项工作中介绍了两个著名的气液基准、水龙头和激波管问题的数值模拟，使用两个双流体模型 - 4E1P（四个方程和一个压力) 和 5E2P（五个方程和两个压力）——结合三种数值方法——FCT（通量校正传输方法），FORCE（一阶中心方案）和 ModFORCE。此处使用的数值方法以一般形式编写，不需要解决相关的黎曼问题。所得结果旨在作为参考，在所研究的方法中选择最佳方法来解决一些瞬态一维两相流问题，突出每种模型和方法组合在双曲性、扩散性和扩散性方面的优缺点。分散效应。总体而言，与可用的解析解相比，5E2P 模型与 ModFORCE 数值方法的组合提供了最准确的结果。所得结果旨在作为参考，在所研究的方法中选择最佳方法来解决一些瞬态一维两相流问题，突出每种模型和方法组合在双曲性、扩散性和扩散性方面的优缺点。分散效应。总体而言，与可用的解析解相比，5E2P 模型与 ModFORCE 数值方法的组合提供了最准确的结果。所获得的结果旨在作为参考，在所研究的方法中选择最佳方法来解决一些瞬态一维两相流问题，突出每种模型和方法组合在双曲性、扩散性和扩散性方面的优缺点。分散效应。总体而言，与可用的解析解相比，5E2P 模型与 ModFORCE 数值方法的组合提供了最准确的结果。