TY - JOUR TI - The impact of the order of numerical schemes on slug flows modeling AU - Azizi Hossein Zolfaghary AU - Naghashzadegan Mohammad AU - Shokri Vahid JN - Thermal Science PY - 2019 VL - 23 IS - 6 SP - 3855 EP - 3864 PT - Article AB - This paper aims to explore the impact of the order of numerical schemes on the simulation of two-phase slug flow with a two-fluid model initiation. The governing equations of the two-fluid model have been solved by a class of Riemann solver. The numerical schemes applied in this paper involve first-order (Lax-Friedrichs and Rusanov), second-order (Ritchmyer), and high-order (Flux-Corrected Transport or FCT and TVD). The results suggest that the TVD and FCT are able to predict the slug initiation with high accuracy compared with experimental results. Lax-Friedrichs and Rusanov are both first-order schemes and have second-order truncation error. This second-order truncation error caused numerical diffusion in the solution field and could not predict the slug initiation with high accuracy in contrast to TVD and FCT schemes. Ritchmyer is a second-order scheme and has third-order truncation error. This third-order truncation error caused dispersive results in the solution field and was not a proper scheme.