Investigations of gas–liquid two phase flow in pipe based on Euler two‐fluid model with high‐resolution total variation diminishing scheme

Gas–liquid two‐phase flow widely exists in various fields, including water distribution, chemical engineering, petroleum, and nuclear industries. To overcome the non‐physical oscillations caused by high‐order schemes and the numerical diffusion induced by first‐order upwind scheme (FOU), based on finite volume method (FVM) and staggered grid, a pressure correction method combined with high‐resolution total variation diminishing (TVD) scheme is proposed to solve the one‐dimensional two‐fluid model (TFM). Four high‐resolution TVD schemes (minimum modulus [MINMOD], SuperBee, upstream monotonic interpolation for scalar transport [UMIST], Albada) are used to improve prediction accuracy. The strong numerical diffusion of the FOU scheme leads to pronounced errors in regions with steep gradients. By reducing numerical diffusion, higher‐order schemes are better able to capture the evolution and sharp variations of the gas volume fraction, especially in high‐gradient regions. In the presence of discontinuities in gas velocity and phase fraction, the algorithm is still able to predict the evolution process of flow well, and there is no oscillation in TVD scheme. The calculated results of other variables also align well with the reference values, further demonstrating the robustness of the algorithm. In addition, the algorithm can capture complex slug flow in pipe, meanwhile, it can also accurately predict the water filling process in pipe.