Next Article in Journal
Use of Modern Technologies for the Conservation of Historical Heritage in Water Management
Previous Article in Journal
Ecologically Non-Invasive Decontamination of Natura 2000 Locality from Old Deposits of Hexavalent Chromium and Bivalent Nickel by Modular Electrocoagulation Combined with Ca(OH)2 Addition
Open AccessArticle

Hydraulic Transient Analysis of Sewer Pipe Systems Using a Non-Oscillatory Two-Component Pressure Approach

1
Department of Civil Engineering, University of North Dakota, Grand Forks, ND 58202, USA
2
Innovative Hydraulic Group, Thornhill, ON L4J 8V7, Canada
*
Author to whom correspondence should be addressed.
Water 2020, 12(10), 2896; https://doi.org/10.3390/w12102896
Received: 15 September 2020 / Revised: 12 October 2020 / Accepted: 13 October 2020 / Published: 16 October 2020
(This article belongs to the Special Issue Urban Water Networks Modelling and Monitoring)
On the basis of the two-component pressure approach, we developed a numerical model to capture mixed transient flows in close conduit systems. To achieve this goal, an innovative Godunov finite-volume numerical scheme is proposed to suppress the spurious numerical oscillations occurring during rapid pipe pressurization. To dissipate the spurious numerical oscillations, we admit artificial numerical viscosity to the numerical scheme through applying a proposed Harten, Lax, and van Leer (HLL) Riemann solver for calculating the numerical fluxes at the computational cell interfaces. The proposed solver controls the magnitude of the numerical viscosity through adjusting the left and right wave velocities. A wave velocity calculator is proposed to optimally distribute the numerical viscosity over several computational cells around the computational cell in which the pressurization front is located. The proposed solver admits significant artificial numerical viscosity when the pipe pressurization is imminent and automatically reduces it in other places; in this way the numerical diffusion and data smearing is minimized. The validity of the proposed model is justified by the aid of several test cases in which the numerical results are compared with both experimental data and the results obtained from analytical methods. The results reveal that the proposed model succeeds in completely removing the spurious numerical oscillations, even when the pipe acoustic speed is over 1000 m/s. The numerical results also show that the model can successfully capture occurrence of negative pressures during the course of transient flow. View Full-Text
Keywords: hydraulic transient analysis; unsteady flow; waterhammer; sewer pipe systems; mixed flows; open channel; pressurized flow; two-component pressure approach; numerical modelling; HLL Riemann solver hydraulic transient analysis; unsteady flow; waterhammer; sewer pipe systems; mixed flows; open channel; pressurized flow; two-component pressure approach; numerical modelling; HLL Riemann solver
Show Figures

Figure 1

MDPI and ACS Style

Khani, D.; Lim, Y.H.; Malekpour, A. Hydraulic Transient Analysis of Sewer Pipe Systems Using a Non-Oscillatory Two-Component Pressure Approach. Water 2020, 12, 2896.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop