Abstract

A novel numerical model for describing highly transient mixed flows is presented based on the Preissmann slot approach. To overcome the spurious oscillation problems caused by this approach, a numerical scheme named “random choice method” (RCM), in which flow variables of the next time level are obtained by picking a local Riemann solution state at random, is applied herein. Three numerical tests are performed to verify the ability of the proposed model in simulating from single flows to mixed flows. The results show that the RCM gives sharper shock resolutions as compared with the Godunov-type scheme, which causes the smearing of discontinuities. The proposed model can eliminate the numerical oscillations under flow conditions of switching from free-surface flow to pressurized flow, because of its unconditional stability. On further analysis of the experimental verifications, a hybrid method is presented to improve the performance of RCM in the smooth (nonuniform) parts of the flow.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

The study’s data are available from the corresponding author by request.

Acknowledgments

The writers gratefully acknowledge the financial support for this research from the Fundamental Research Funds for the Central Universities (Grant Nos. B200203060 and 2018B43114), Graduate Research and Innovation Project of Jiangsu Province (Grant No. KYCX20_0473), National Natural Science Foundation of China (Grant Nos. 51839008 and 51679066), and Fok Ying Tong Education Foundation (Grant No. 161068).

References

An, H., S. Lee, S. J. Noh, Y. Kim, and J. Noh. 2018. “Hybrid numerical scheme of Preissmann slot model for transient mixed flows.” Water 10 (7): 899. https://doi.org/10.3390/w10070899.
Capart, H., X. Sillen, and Y. Zech. 1997. “Numerical and experimental water transients in sewer pipes.” J. Hydraul. Res. 35 (5): 659–672. https://doi.org/10.1080/00221689709498400.
Cea, L., G. Vila, G. García-Alén, J. Puertas, and L. Pena. 2022. “Hydraulic modeling of bridges in two-dimensional shallow water models.” J. Hydraul. Eng. 148 (8): 06022006. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001992.
Chorin, A. J. 1976. “Random choice solution of hyperbolic systems.” J. Comput. Phys. 22 (4): 517–533. https://doi.org/10.1016/0021-9991(76)90047-4.
Colella, P. 1982. “Glimm’s method for gas dynamics.” SIAM J. Sci. Stat. Comput. 3 (1): 76–110. https://doi.org/10.1137/0903007.
Dillingham, J. 1981. “Motion studies of a vessel with water on deck.” Mar. Technol. 18 (1): 38–55. https://doi.org/10.5957/mt1.1981.18.1.38.
Glimm, J. 1965. “Solutions in the large for nonlinear hyperbolic systems of equations.” Commun. Pure Appl. Math. 18 (4): 697–715. https://doi.org/10.1002/cpa.3160180408.
Gupta, H., and L. P. Singh. 2015. “Simulation of dam-break problem using random choice method.” Comput. Fluids 111 (2): 187–196. https://doi.org/10.1016/j.compfluid.2015.02.001.
Kerger, F., P. Archambeau, S. Erpicum, B. J. Dewals, and M. Pirotton. 2011. “An exact Riemann solver and a Godunov scheme for simulating highly transient mixed flows.” J. Comput. Appl. Math. 235 (8): 2030–2040. https://doi.org/10.1016/j.cam.2010.09.026.
Khani, D., Y. H. Lim, and A. Malekpour. 2023. “Calculating column separation in conduit systems using an innovative open channel based model.” J. Hydraul. Eng. 149 (2): 04022038. https://doi.org/10.1061/JHEND8.HYENG-13197.
León, A., M. Ghidaoui, A. Schmidt, and M. Garcia. 2006. “Godunov-type solutions for transient flows in sewers.” J. Hydraul. Eng. 132 (8): 800–813. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:8(800).
León, A. S., M. S. Ghidaoui, A. R. Schmidt, and M. H. García. 2009. “Application of Godunov-type schemes to transient mixed flows.” J. Hydraul. Res. 47 (2): 147–156. https://doi.org/10.3826/jhr.2009.3157.
Malekpour, A., and B. W. Karney. 2016. “Spurious numerical oscillations in the Preissmann slot method: Origin and suppression.” J. Hydraul. Eng. 142 (3): 04015060. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001106.
Sanders, B. F., and S. F. Bradford. 2011. “Network implementation of the two-component pressure approach for transient flow in storm sewers.” J. Hydraul. Eng. 137 (2): 158–172. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000293.
Sjoberg, A. 1982. “Sewer network models DAGVL-A and DAGVL-DIFF.” In Urban stormwater hydraulics and hydrology, edited by B. C. Yen, 127–136. Highlands Ranch, CO: Water Resource Publications.
Toro, E. F. 1989. “Random-choice based hybrid methods for one- and two-dimensional gas dynamics.” In Nonlinear Hyperbolic Equations-Theory, Computation Methods, and Applications: Proc., 2nd Int. Conf. on Nonlinear Hyperbolic Problems, 630–639. Berlin: Springer.
Toro, E. F. 2013. Riemann solvers and numerical methods for fluid dynamics: A practical introduction. New York: Springer.
Trajkovic, B., M. Ivetic, F. Calomino, and A. D’Ippolito. 1999. “Investigation of transition from free surface to pressurized flow in a circular pipe.” Water Sci. Technol. 39 (9): 105–112. https://doi.org/10.2166/wst.1999.0453.
Vasconcelos, J. G., and D. T. Marwell. 2011. “Innovative simulation of unsteady low-pressure flows in water mains.” J. Hydraul. Eng. 137 (11): 1490–1499. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000440.
Vasconcelos, J. G., S. J. Wright, and P. L. Roe. 2009. “Numerical oscillations in pipe-filling bore predictions by shock-capturing models.” J. Hydraul. Eng. 135 (4): 296–305. https://doi.org/10.1061/(ASCE)0733-9429(2009)135:4(296).
Wiggert, D. 1972. “Transient flow in free-surface, pressurized systems.” J. Hydraul. Div. 98 (1): 11–27. https://doi.org/10.1061/JYCEAJ.0003189.
Xue, Z., L. Zhou, B. Karney, D. Liu, and P. Wang. 2020. “Primitive form Godunov-type scheme for two-phase homogeneous water hammer flows.” J. Hydraul. Eng. 146 (4): 04020018. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001725.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 149Issue 8August 2023

History

Received: Dec 9, 2022
Accepted: Apr 13, 2023
Published online: Jun 5, 2023
Published in print: Aug 1, 2023
Discussion open until: Nov 5, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Ph.D. Candidate, College of Water Conservancy and Hydropower Engineering, Hohai Univ., 1 Xikang Rd., Nanjing 210098, China. Email: [email protected]
Professor, College of Water Conservancy and Hydropower Engineering, Hohai Univ., 1 Xikang Rd., Nanjing 210098, China (corresponding author). ORCID: https://orcid.org/0000-0002-1750-6126. Email: [email protected]
Professor, College of Water Conservancy and Hydropower Engineering, Hohai Univ., 1 Xikang Rd., Nanjing 210098, China. Email: [email protected]
Tong-Chuan Che [email protected]
Associate Professor, College of Water Conservancy and Hydropower Engineering, Hohai Univ., 1 Xikang Rd., Nanjing 210098, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share