Skip to main content

Potential Application of Mesh-Free SPH Method in Turbulent River Flows

  • Chapter
  • First Online:
Hydrodynamic and Mass Transport at Freshwater Aquatic Interfaces

Part of the book series: GeoPlanet: Earth and Planetary Sciences ((GEPS))

Abstract

A comprehensive review has been completed on the simulation of turbulent flow over rough beds using mesh-free particle models. Based on the outcomes of this review, an improved Smoothed Particle Hydrodynamics (SPH) method has been developed for open channel flows over a rough bed, in which a mixing length model is used for modeling the 2D turbulence and a drag force equation is proposed for treating the boundary shear. The proposed model was applied to simulate a depth-limited open channel flow over a rough bed surface. The results of the velocity profile and shear stress distribution show a good agreement with the experimental data and existing analytical solutions. This work reveals that in order to correctly model turbulent open channel flow over a rough bed, the treatment of both flow turbulence and bed roughness effect is equally important.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Chern M, Syamsuri S (2013) Effect of corrugated bed on hydraulic jump characteristic using SPH method. J Hydraul Eng 139(2):221–232

    Article  Google Scholar 

  • Christoph GH, Pletcher RH (1983) Prediction of rough-wall skin friction and heat transfer. AIAA J 21:509–515

    Article  Google Scholar 

  • Clauser FH (1954) Turbulent boundary layers in adverse pressure gradients. J Aeronaut Sci 21:91–108

    Article  Google Scholar 

  • Cui J, Patel VC, Lin CL (2003) Prediction of turbulent flow over rough surfaces using a force field in large eddy simulation. J Fluids Eng Trans ASME 125:2–9

    Article  Google Scholar 

  • De Padova D, Mossa M, Sibilla S, Torti E (2013) 3D SPH modelling of hydraulic jump in a very large channel. J Hydraul Res 51(2):158–173

    Article  Google Scholar 

  • Federico I, Marrone S, Colagrossi A, Aristodemo F, Antuono M (2012) Simulating 2D open-channel flows through an SPH model. Eur J Mech B/Fluids 34:35–46

    Article  Google Scholar 

  • Fu L, Jin YC (2013) A mesh-free method boundary condition technique in open channel flow simulation. J Hydraul Res 51(2):174–185

    Article  Google Scholar 

  • Gingold RA, Monaghan JJ (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon Not R Astron Soc 181:375–398

    Article  Google Scholar 

  • Gotoh H, Shibahara T, Sakai T (2001) Sub-particle-scale turbulence model for the MPS method—Lagrangian flow model for hydraulic engineering. Comput Fluid Dyn J 9(4):339–347

    Google Scholar 

  • Granville PS (1985) Mixing-length formulations for turbulent boundary layers over arbitrary rough surfaces. J Ship Res 29(4):223–233

    Google Scholar 

  • Granville PS (1988) Eddy viscosities and mixing lengths for turbulent boundary layers on flat plates, smooth or rough. J Ship Res 32:229–237

    Google Scholar 

  • Hsu CC, Wu FS, Lee WJ (1998) Flow at 90 degrees equal-width open-channel junction. J Hydraul Eng ASCE 124:186–191

    Article  Google Scholar 

  • Krogstad PA (1991) Modification of the van driest damping function to include the effects of surface roughness. AIAA J 29:888–894

    Article  Google Scholar 

  • Lopez D, Marivela R, Garrote L (2010) Smoothed particle hydrodynamics model applied to hydraulic structures: a hydraulic jump test case. J Hydraul Res 48:142–158

    Article  Google Scholar 

  • Lucy LB (1977) Numerical approach to testing the fission hypothesis. Astron J 82(12):1013–1024

    Article  Google Scholar 

  • Marion A, Nikora V, Puijalon S, Bouma T, Koll K, Ballio F, Tait S, Zaramella M, Sukhodolov A, O’Hare M, Wharton G, Aberle J, Tregnaghi M, Davies P, Nepf H, Parker G, Statzner B (2014) Aquatic interfaces: a hydrodynamic and ecological perspective. J Hydraul Res 52(6):744–758. doi:10.1080/00221686.2014.968887

    Article  Google Scholar 

  • Miyake Y, Tsujimoto K, Agata Y (1999) A DNS of a turbulent flow in a rough-wall channel using roughness elements model. JSME Int J 43(2):233–242

    Article  Google Scholar 

  • Monaghan JJ (1989) On the problem of penetration in particle methods. J Comput Phys 82(1):1–15

    Article  CAS  Google Scholar 

  • Monaghan JJ, Lattanzio JC (1985) A refined method for astrophysical problems. Astron Astrophys 149:135–143

    Google Scholar 

  • Nezu I, Rodi W (1986) Open-channel flow measurements with a Laser Doppler anemometer. J Hydraul Eng ASCE 112(5):335–355

    Article  Google Scholar 

  • Nicholas AP, Smith GHS (1999) Numerical simulation of three-dimensional flow hydraulics in a braided channel. Hydrol Process 13:913–929

    Article  Google Scholar 

  • Nichols A (2013) Free surface dynamics in shallow turbulent flows. Ph.D thesis, School of Engineering, University of Bradford, UK

    Google Scholar 

  • Nikuradse J (1933) Laws of flow in rough pipes. VDI Forschungsheft 361. English translation: NACA TM 1292, 1950

    Google Scholar 

  • Perry AE, Schofield WH, Joubert PN (1969) Rough wall turbulent boundary layers. J Fluid Mech 37(2):383–413

    Article  Google Scholar 

  • Rameshwaran P, Naden PS, Lawless M (2011) Flow modelling in gravel-bed rivers: rethinking the bottom boundary condition. Earth Surf Proc Land 36:1350–1366

    Article  Google Scholar 

  • Rotta J (1962) Turbulent Boundary layers in incompressible flow. Prog Aerosp Sci, Oxford, UK, 2:73–82

    Google Scholar 

  • Sahebari AJ, Jin YC, Shakibaeinia A (2011) Flow over sills by the MPS mesh-free particle method. J Hydraul Res 49(5):649–656

    Article  Google Scholar 

  • Shakibaeinia A, Jin YC (2011) MPS-based mesh-free particle method for modeling open-channel flows. J Hydraul Eng 137:1375–1385

    Article  Google Scholar 

  • Taylor RP, Colemau HW, Hodge BK (1985) Prediction of turbulent rough-wall skin friction using a discrete element approach. ASME J Fluids Eng 107:251–257

    Article  CAS  Google Scholar 

  • van Driest ER (1956) On turbulent flow near a wall. J Aeronaut Sci 23:1007–1011

    Article  Google Scholar 

  • Violeau D, Issa R (2007) Numerical modelling of complex turbulent free-surface flows with the SPH method: an overview. Int J Numer Meth Fluids 53(2):277–304

    Article  Google Scholar 

  • Violeau D, Piccon S, Chabard JP (2002) Two attempts of turbulence modelling in smoothed particle hydrodynamics. Proceedings of the 8th symposium on flow modelling and turbulence measurements. Advances in Fluid Modelling and Turbulence Measurements. World Scientific: Singapore, 339–346

    Google Scholar 

  • Wiberg PL, Smith JD (1991) Velocity distribution and bed roughness in high-gradient streams. Water Resour Res 27:825–838

    Article  Google Scholar 

  • Zeng C, Li CW (2012) Modeling flows over gravel beds by a drag force method and a modified S-A turbulence closure. Adv Water Resour 46:84–95

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the Research Executive Agency, through the 7th Framework Programme of the European Union, Support for Training and Career Development of Researchers (Marie Curie—FP7‐PEOPLE‐2012‐ITN), which funded the Initial Training Network (ITN) HYTECH ‘Hydrodynamic Transport in Ecologically Critical Heterogeneous Interfaces’, N.316546.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Songdong Shao .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Kazemi, E., Tait, S., Shao, S., Nichols, A. (2016). Potential Application of Mesh-Free SPH Method in Turbulent River Flows. In: Rowiński, P., Marion, A. (eds) Hydrodynamic and Mass Transport at Freshwater Aquatic Interfaces. GeoPlanet: Earth and Planetary Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-27750-9_2

Download citation

Publish with us

Policies and ethics