Comparison between the two-component pressure approach and current transient flow solvers

Some hydraulic applications are characterized by systems originally flowing in free-surface conditions that subsequently undergo flowregime transition into pressurized flow during rapid filling events. Currently, models simulating these flow regime transitions are classified by approaches that either track the location of the pressurized front or use the Preissmann slot concept. While Preissmann slot models are popular for their overall simplicity, they are limited by the inability to simulate sub-atmospheric, full-pipe flows. Recently, a new model named two-component pressure approach (TPA) overcame this limitation from Preissmann slot models. However, because this new method has not been tested against existing numerical models, this article presents a comparison between the TPA model and three transient flow models. The models are based on the interface-tracking approach, the Preissmann slot concept and a standard closed pipe method of characteristics code. TPA results show good agreement with the results from the models considered in this study.

[1]  Jose G. Vasconcelos,et al.  Experimental Investigation of Surges in a Stormwater Storage Tunnel , 2005 .

[2]  Philip L. Roe,et al.  On Postshock Oscillations Due to Shock Capturing Schemes in Unsteady Flows , 1997 .

[3]  Charles C. S. Song,et al.  Transient Mixed-Flow Models for Storm Sewers , 1983 .

[4]  Zhong Ji.  General Hydrodynamic Model for Sewer/Channel Network Systems , 1998 .

[5]  Pilar García-Navarro,et al.  An implicit method for water flow modelling in channels and pipes , 1994 .

[6]  P. Roe.  Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[7]  P. García-Navarro,et al.  McCormack's method for the numerical simulation of one-dimensional discontinuous unsteady open channel flow , 1992 .

[8]  Trieu Dong Nguyen.  Numerical simulation of the flow in a conduit, in the presence of a confined air cushion , 1999 .

[9]  Jose G. Vasconcelos,et al.  Numerical Modeling of the Transition between Free Surface and Pressurized Flow in Storm Sewers , 2004 .

[10]  E. Benjamin Wylie,et al.  Fluid Transients in Systems , 1993 .

[11]  F. Henderson.  Open channel flow , 1966 .

[12]  Qizhong Guo,et al.  SURGING IN URBAN STORM DRAINAGE SYSTEMS , 1990 .

[13]  Chyr Pyng Liou,et al.  Filling of Pipelines with Undulating Elevation Profiles , 1996 .

[14]  Yves Zech,et al.  Numerical and experimental water transients in sewer pipes , 1997 .

[15]  Kazutoshi Arai,et al.  Transient Analysis of Mixed Free-Surface-Pressurized Flows With Modified Slot Model: Part 1 — Computational Model and Experiment , 2003 .

[16]  Marko Ivetić,et al.  Investigation of transition from free surface to pressurized flow in a circular pipe , 1999 .

[17]  J. A. Cunge,et al.  Intégration numérique des équations d'écoulement de barré de Saint-Venant par un schéma implicite de différences finies , 1964 .

[18]  J. A. McCorquodale,et al.  Transient conditions in the transition from gravity to surcharged sewer flow , 1982 .

[19]  Jose G. Vasconcelos,et al.  Improved Simulation of Flow Regime Transition in Sewers: Two-Component Pressure Approach , 2006 .

[20]  Francesco Macchione,et al.  Practical aspects in comparing shock-capturing schemes for dam break problems , 2003 .

[21]  A. McCorquodale,et al.  Modeling Mixed Flow in Storm Sewers , 1999 .

[22]  E. Toro.  Shock-Capturing Methods for Free-Surface Shallow Flows , 2001 .

[23]  T. Benjamin.  Gravity currents and related phenomena , 1968, Journal of Fluid Mechanics.

[24]  David C. Wiggert.  Transient flow in free-surface, pressurized systems , 1972 .

[25]  Peter M. Steffler,et al.  Transient Flow in a Rapidly Filling Horizontal Pipe Containing Trapped Air , 2002 .

[26]  William H. Press,et al.  Numerical Recipes in Pascal , 2007 .

[27]  Jose G. Vasconcelos,et al.  Applications and Limitations of Single-Phase Models to the Description of the Rapid Filling Pipe Problem , 2005 .

[28]  Charles C. S. Song,et al.  Mathematical-modeling of unsteady-flow in storm sewers , 1988 .

[29]  J. Cunge,et al.  Practical aspects of computational river hydraulics , 1980 .

[30]  Jose G. Vasconcelos,et al.  Investigation of Rapid Filling of Empty Pipes , 2006 .