## THERMAL SCIENCE

International Scientific Journal

### THE IMPACT OF THE ORDER OF NUMERICAL SCHEMES ON SLUG FLOWS MODELING

**ABSTRACT**

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.

**KEYWORDS**

PAPER SUBMITTED: 2017-10-09

PAPER REVISED: 2018-10-10

PAPER ACCEPTED: 2018-11-18

PUBLISHED ONLINE: 2018-12-16

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Issue 6**, PAGES [3855 - 3864]

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