TITLE:
Numerical Simulation of Unsteady Friction in Transient Two-Phase Flow with Godunov Method
AUTHORS:
Samba Bousso, Musandji Fuamba
KEYWORDS:
Finite Volume; Godunov Method; Transient Flow; Two Phase Flow; Unsteady Friction
JOURNAL NAME:
Journal of Water Resource and Protection,
Vol.5 No.11,
November
27,
2013
ABSTRACT: Most numerical transient flow models that consider dynamic friction
employ a finite differences approach or the method of characteristics. These
models assume a single fluid (water only) with constant density and pressure
wave velocity. But when transient flow modeling attempts to integrate the
presence of air, which produces a variable density and pressure-wave velocity, the
resolution scheme becomes increasingly complex. Techniques such as finite volumes
are often used to improve the quality of results because of their conservative
form. This paper focuses on a resolution technique for unsteady friction using
the Godunov approach in a finite volume method employing single-equivalent twophase
flow equations. The unsteady friction component is determined by taking into
account local and convective instantaneous accelerations and the sign of both
convective acceleration and velocity values. The approach is used to reproduce
a set of transient flow experiments reported in the literature, and good
agreement between simulated and experimental results is found.