J. Vítkovsky, M. Stephens, A. Bergant, A. Simpson and M. Lambert, “Numerical Error in Weighting Function-Based Unsteady Friction Models for Pipe Transients,” Journal of Hydraulic Engineering, Vol. 132, No. 7, 2006, pp. 709-721.
http://dx.doi.org/10.1061/(ASCE)0733-9429(2006)132:7(709)

has been cited by the following article:

• 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.