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Experimental and numerical investigation of density current over macro-roughness

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Abstract

The dynamics of density current over a bottom covered by macro-roughness elements were investigated by laboratory experiments and a computational model using large eddy simulations. The macro-roughness considered had significant size in comparison with the scale of density current. Five different roughness conditions were considered, namely flat bottom (for reference), half spheres, fine gravels, medium gravels, and large gravels. These bottom conditions had variations in roughness element size, shape, angularity, and spatial configuration. The density current was a lock-exchange type with a density difference of 1% between the two fluids initially separated by a gate in the middle. In the computational model, the roughness was captured using two different methods depending on the size of the roughness elements. For the large roughness elements, i.e., the half spheres and the medium and large gravels, an immersed boundary method was used to resolve the surface of each gravel, which was obtained through 3D laser scanning. The realistic and physically correct placement of these scanned objects in the simulation domain was achieved using a computer tool which can detect the collision of rigid bodies and simulate their dynamics. For the fine gravels, a rough wall function was used. The computational model was validated with the data measured in the experiments, including front position and velocity, and point velocity measurement within the current. The results show that density currents over macro-roughness have distinct behavior from those over a smooth boundary. The characteristics (size, angularity, and pavement pattern) of the macro-roughness play a key role in the current development. Macro-roughness significantly retards the front propagation and enhances entrainment.

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References

  1. Acton JM, Huppert HE, Worster MG (2001) Two-dimensional viscous gravity currents flowing over a deep porous medium. J Fluid Mech 440:359–380

    Article  Google Scholar 

  2. Ashida K, Egashira S (1975) Basic study on turbidity currents. Proc Jpn Soc Civ Eng 237:37–50

    Article  Google Scholar 

  3. Bhaganagar K (2014) Direct numerical simulation of lock-exchange density currents over the rough wall in slumping phase. J Hydraul Res 52(3):386–398

    Article  Google Scholar 

  4. Birman VK, Battandier BA, Meiburg E, Linden PF (2007) Lock-exchange flows in sloping channels. J Fluid Mech 577:53–77

    Article  Google Scholar 

  5. Bonometti T, Balachandar S, Magnaudet J (2008) Wall effects in non-boussinesq density currents. J Fluid Mech 616:445–475

    Article  Google Scholar 

  6. Coumans E (2015) Bullet physics SDK manual. http://bulletphysics.org

  7. Dallimore C, Imberger J, Ishikawa T (2001) Entrainment and turbulence in saline underflow in Lake Ogawara. J Hydraul Eng 127(11):937–948

    Article  Google Scholar 

  8. Ellison TH, Turner JS (1959) Turbulent entrainment in stratified flows. J Fluid Mech 6(03):423–448

    Article  Google Scholar 

  9. Fukuoma S, Fukushima Y (1980) Mechanics of gravity currents advancing into stratified reservoir. Proc Jpn Soc Civ Eng 293:65–77

    Article  Google Scholar 

  10. García MH, Parker G (1989) Experiments on hydraulic jumps in turbidity currents near a canyon-fan transition. Science 245(4916):393–396

    Article  Google Scholar 

  11. Gilbert E, Johnson D, Keerthi S (1988) A fast procedure for computing the distance between complex objects in three-dimensional space. IEEE J Robot Autom 4(2):193–203

    Article  Google Scholar 

  12. Gonzalez-Juez E, Meiburg E (2009) Shallow-water analysis of gravity-current flows past isolated obstacles. J Fluid Mech 635:415–438

    Article  Google Scholar 

  13. Gonzalez-Juez E, Meiburg E, Tokyay T, Constantinescu G (2010) Gravity current flow past a circular cylinder: forces, wall shear stresses and implications for scour. J Fluid Mech 649:69–102

    Article  Google Scholar 

  14. Hallworth MA, Huppert HE, Phillips JC, Sparks RSJ (1996) Entrainment into two-dimensional and axisymmetric turbulent gravity currents. J Fluid Mech 308:289–311

    Article  Google Scholar 

  15. Hebbert B, Patterson J, Loh I, Imberger J (1979) Collie River underflow into the Wellington reservoir. J Hydraul Div 105(5):533–545

    Google Scholar 

  16. Issa RI (1986) Solution of the implicitly discretised fluid flow equations by operator-splitting. J Comput Phys 62(1):40–65

    Article  Google Scholar 

  17. Jasak H (1996) Error analysis and estimation for the finite volume method with application to fluid flows. PhD thesis, Imperial College of Science, Technology and Medicine

  18. Jirka GH, Arita M (1987) Density currents or density wedges: boundary-layer influence and control methods. J Fluid Mech 177:187–206

    Article  Google Scholar 

  19. Kim WW, Menon S (1997) Application of the localized dynamic subgrid-scale model to turbulent wall-bounded flows, technical report AIAA-97-0210. In: 35th aerospace sciences meeting, American Institute of Aeronautics and Astronautics, Reno, Nevada

  20. Liu X (2014) A new immersed boundary method for simulating free-surface flows around arbitrary objects. In: Schleiss AJ, Cesare G, Franca MJ, Pfister M (eds) River Flow 2014. CRC Press, Boca Raton, pp 141–146

    Google Scholar 

  21. Liu X, Jiang Y (2013) Direct numerical simulations of boundary condition effects on the propagation of density current in wall-bounded and open channels. Environ Fluid Mech 14(2):387–407

    Article  Google Scholar 

  22. Lofquist K (1960) Flow and stress near an interface between stratified liquids. Phys Fluids 3(2):158–175

    Article  Google Scholar 

  23. Marino BM, Thomas LP, Linden PF (2005) The front condition for gravity currents. J Fluid Mech 536:49–78

    Article  Google Scholar 

  24. Mohrig D, Ellis C, Parker G, Whipple KX, Hondzo M (1998) Hydroplaning of subaqueous debris flows. Geol Soc Am Bull 110(3):387–394

    Article  Google Scholar 

  25. Nasr-Azadani M, Meiburg E (2011) TURBINS: an immersed boundary, NavierStokes code for the simulation of gravity and turbidity currents interacting with complex topographies. Comput Fluids 45(1):14–28

    Article  Google Scholar 

  26. Nogueira HIS, Adduce C, Alves E, Franca MJ (2013) Analysis of lock-exchange gravity currents over smooth and rough beds. J Hydraul Res 51(4):417–431

    Article  Google Scholar 

  27. Nogueira HIS, Adduce C, Alves E, Franca MJ (2014) Dynamics of the head of gravity currents. Environ Fluid Mech 14:519–540

    Article  Google Scholar 

  28. Ooi SK, Constantinescu G, Weber L (2009) Numerical simulations of lock-exchange compositional gravity current. J Fluid Mech 635:361–388

    Article  Google Scholar 

  29. OpenCFD (2015) OpenFOAM: The open source computational fluid dynamics (CFD) toolbox. http://www.OpenFoam.org

  30. Ottolenghi L, Adduce C, Inghilesi R, Armenio V, Roman F (2016) Entrainment and mixing in unsteady gravity currents. J Hydraul Res 54(5):541–557

    Article  Google Scholar 

  31. Ottolenghi L, Adduce C, Inghilesi R, Armenio V, Roman F (2016) Mixing in lock-release gravity currents propagating up a slope. Phys Fluids 28:056604

    Article  Google Scholar 

  32. Parker G, Garcia M, Fukushima Y, Yu W (1987) Experiments on turbidity currents over an erodible bed experiments on turbidity currents over an erodible bed. J Hydraul Res 25(1):123–147

    Article  Google Scholar 

  33. Peskin CS (1972) Flow patterns around heart valves: a numerical method. J Comput Phys 10(2):252–271

    Article  Google Scholar 

  34. Peters WD, Venart JES (2000) Visualization of roughsurface gravity current flows using laser-induced fluorescence. In: Carlomagno GM, Grant I (eds) Proceedings of 9th int. symp. flow visualization, 244-1244-11, Heriot-Watt University, Edinburgh

  35. Rottman JW, Simpson JE (1983) Gravity currents produced by instantaneous releases of a heavy fluid in a rectangular channel. J Fluid Mech 135:95–110

    Article  Google Scholar 

  36. Sequeiros OE, Spinewine B, Beaubouef RT, Sun T, Garcia MH, Parker G (2010) Bedload transport and bed resistance associated with density and turbidity currents. Sedimentology 57(6):1463–1490

    Article  Google Scholar 

  37. Shin JO, Dalziel SB, Linden PF (2004) Gravity currents produced by lock exchange. J Fluid Mech 521:1–34

    Article  Google Scholar 

  38. Simpson J (1997) Gravity currents, 2nd edn. Cambridge University Press, Cambridge

    Google Scholar 

  39. Simpson JE (1982) Gravity currents in the laboratory, atmosphere, and ocean. Annu Rev Fluid Mech 14:213–234

    Article  Google Scholar 

  40. Theiler Q, Franca MJ (2016) Contained density currents with high volume of release. Sedimentology 63:1820–1842

    Article  Google Scholar 

  41. Thomas L, Marino B, Linden P (1998) Gravity currents over porous substrates. J Fluid Mech 366:239–258

    Article  Google Scholar 

  42. Tokyay T, Constantinescu G, Meiburg E (2011) Lock-exchange gravity currents with a high volume of release propagating over a periodic array of obstacles. J Fluid Mech 672:570–605

    Article  Google Scholar 

  43. Ungarish M (2009) An introduction to gravity currents and intrusions. CRC Press, Boca Raton

    Book  Google Scholar 

  44. Ungarish M, Huppert H (2000) High-Reynolds-number gravity currents over a porous boundary: shallow-water solutions and box-model approximations. J Fluid Mech 418:1–23

    Article  Google Scholar 

  45. Weller HG, Tabor G, Jasak H, Fureby C (1998) A tensorial approach to computational continuum mechanics using object-oriented techniques. Comput Phys 12(6):620–631

    Article  Google Scholar 

Download references

Acknowledgements

We acknowledge the funding from the University of Texas at San Antonio to build the flume used in this work. The quality of this paper was improved greatly from discussion of the author XL with the guest editors Claudia Adduce and Mário J. Franca. We also thank the comments and suggestions from the anonymous reviewers.

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Correspondence to X. Liu.

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Jiang, Y., Liu, X. Experimental and numerical investigation of density current over macro-roughness. Environ Fluid Mech 18, 97–116 (2018). https://doi.org/10.1007/s10652-016-9500-1

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