Abstract
Numerical experiments of plane jets are performed to investigate their behaviour into a still ambient and into a flow field of regular waves. SPH simulations are obtained by a pseudo-compressible XSPH scheme with pressure smoothing; turbulent stresses are represented by a two-equation k-ε model. The SPH model is validated by comparing the obtained results with experimental measurements and analytical solutions. The main fluid mechanical characteristics of jets discharged either in still water or transversally to regular wave trains characterized by different heights are compared. The study focuses specifically on the role played by the wave heights on the velocity distribution.
Similar content being viewed by others
References
Albertson ML et al (1950) Diffusion of submerged jets. Trans ASCE 115:639–697
Antuono M, Colagrossi A, Marrone S (2012) Numerical diffusive terms in weakly-compressible SPH schemes. Comput Phys Commun 183:2570–2580
Aristodemo F, Marrone S, Federico I (2015) SPH modeling of plane jets into water bodies through an inflow/outflow algorithm. Ocean Eng 105:160–175
Aristodemo F, Tripepi G, Meringolo DD, Veltri P (2017) Solitary wave-induced forces on horizontal circular cylinders: laboratory experiments and SPH simulations. Coast Eng 129:17–35
Capone T, Panizzo A, Monaghan JJ (2010) SPH modelling of water waves generated by submarine landslides. J Hydraul Res 48:80–84
Chen YP, Li CW, Zhang CK (2008) Numerical modeling of a round jet discharged into random waves. Ocean Eng 35(1):77–89
Chen YP, Li CW, Zhang CK, Xu ZS (2012) Numerical study of a round buoyant jet under the effect of JONSWAP random waves. China Ocean Eng. 26(2):235–250
Chyan JM, Hwung HH (1993) On the interaction of a turbulent jet with waves. J Hydraul Res 31(6):791–810
Dai HC, Wang LL (2005) Numerical study of submerged vertical plane jets under progressive water surface waves. China Ocean Eng 19(3):433–442
Dalrymple RA, Rogers BD (2006) Numerical modelling of waves with the SPH method. Coast Eng 53:131–147
De Chowdhury S, Sannasiraj SA (2013) SPH Simulation of shallow water wave propagation. Ocean Eng 60(2013):41–52
De Padova D, Mossa M, Sibilla S, Torti E (2013) 3D SPH modelling of hydraulic jump in a very large channel. J Hydraul Res 51:158–173
De Padova D, Dalrymple RA, Mossa M (2014) Analysis of the artificial viscosity in the smoothed particle hydrodynamics modelling of regular waves. J Hydraul Res 52:836–848
De Padova D, Mossa M, Sibilla S (2016) SPH numerical investigation of the velocity field and vorticity generation within a hydrofoil-induced spilling breaker. Environ Fluid Mech 16:267–287
De Padova D, Mossa M, Sibilla S (2017) SPH modelling of hydraulic jump oscillations at an abrupt drop. Water 9(10):790. https://doi.org/10.3390/w9100790
De Padova D, Mossa M, Sibilla S (2018) SPH numerical investigation of characteristics of hydraulic jumps. Environ Fluid Mech. https://doi.org/10.1007/s10652-017-9566-4
De Padova D, Mossa M, Sibilla S (2018) SPH numerical investigation of the characteristics of an oscillating hydraulic jump at an abrupt drop. J Hydrodyn 30(1):106–113
De Padova D, Brocchini M, Buriani F, Corvaro S, De Serio F, Mossa M, Sibilla S (2018) Experimental and numerical investigation of pre-breaking and breaking vorticity within a plunging breaker. Water 10:387. https://doi.org/10.3390/w10040387
De Padova D, Mossa M, Sibilla S (2019) Numerical investigation of the behaviour of jets in a wave environment. J Hydraul Res. https://doi.org/10.1080/00221686.2019.1647886
De Padova D, Ben Meftah M, De Serio F, Mossa M, Sibilla S (2019) Characteristics of breaking vorticity in spilling and plunging waves investigated numerically by SPH. Environ Fluid Mech. https://doi.org/10.1007/s10652-019-09699-5
Espa P, Sibilla S, Gallati M (2008) SPH simulations of a vertical 2-D liquid jet introduced from the bottom of a free-surface rectangular tank. Adv Appl Fluid Mech 3:105–140
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
Fischer HB, List EG, Koh RCY, Imberger J, Brooks NH (1979) Mixing in inland and coastal waters. Academic Press, New York, p 483
Gomez-Gesteira M, Rogers BD, Darlymple RA, Crespo AJC (2010) State-of-the-art of classical SPH for free-surface flows. J Hydraul Res 48:6–27
Gotoh H, Shibihara T, Sakai T (2001) Sub-particle-scale model for the MPS method—Lagrangian flow model for hydraulic engineering. Comput Fluid Dyn J 9(4):339–347
Gotoh H, Shao S, Memita T (2004) SPH_LES model for numerical investigation of wave interaction with partially immersed breakwater. Coast Eng J 46(1):39–63
Hasselbrink EF, Mungal MG (2001) Transverse jets and jet flames. part 1. Scaling laws for strong transverse jets. J Fluid Mech 443:1–25
Hsiao SC, Hsu TW, Lin JF, Chang KA (2011) Mean and turbulence properties of a neutrally buoyant round jet in a wave environment. J Waterway Port Coast Ocean Eng 137(3):109–122
Jirka GH, Harleman DRF (1979) “Stability and mixing of a vertical plane buoyant jet in confined depth. J Fluid Mech 94(2):275–304
Koole R, Swan C (1994) Measurements of a 2-D non-buoyant jet in a wave environment. Coast Eng 24:151–169
Launder BE, Spalding DB (1974) The numerical computation of turbulent flows. Comput Methods Appl Mech Eng 3:269–289
Lo E, Shao S (2002) Simulation of near-shore solitary wave mechanics by an incompressible SPH method. Appl Ocean Res 24:275–286
Manenti S, Pierobon E, Gallati M, Sibilla S, D’Alpaos L, Macchi EG, Todeschini S (2016) Vajont disaster: smoothed particle hydrodynamics modeling of the post-event 2D experiments. J Hydraul Eng 142(05015007):1–11
Makris CV, Memos CD, Krestenitis YN (2016) Numerical modeling of surf zone dynamics under weakly plunging breakers with SPH method. Ocean Model 98:12–35
Marrone S, Colagrossi A, Park JS, Campana EF (2017) Challenges on the numerical prediction of slamming loads on LNG tank insulation panels. Ocean Eng 141:512–530
Meringolo DD, Colagrossi A, Marrone S, Aristodemo F (2017) On the filtering of acoustic components in weakly-compressible SPH simulations. J Fluids Struct 70:1–23
Monaghan JJ (1992) Smoothed particle hydrodynamics. Annu Rev Astron Astrophys 30:543–574
Mori N, Chang KA (2003) Experimental study of a horizontal jet in a wavy environment. J Eng Mech 129(10):1149–1155
Mossa M (2004) Experimental study on the interaction of non-buoyant jets and waves. J Hydraul Res 42(1):13–28
Mossa M (2004) Behavior of Nonbuoyant Jets in a Wave Environment. J Hydraul Eng 130(7):704–717
Muppidi S, Mahesh K (2005) Study of trajectories of jets in crossflow using direct numerical simulations. J Fluid Mech 530:81–100
Papanicolaou PN, List EJ (1988) Investigation of round vertical turbulent buoyant jets. J Fluid Mech 195:341–391
Rajaratnam N (1976) Turbulent jets. Elsevier, Amsterdam
Randles PW, Libersky LD (1996) Smoothed particle hydrodynamics: some recent improvements and applications. Comput Methods Appl Mech Eng 139(1–4):375–408
Ryu Y, Chang KA, Mori N (2005) Dispersion of neutrally buoyant horizontal round jet in wave environment. J Hydraul Eng 131(12):1088–1097
Shao S (2006) Incompressible SPH simulation of wave breaking and overtopping with turbulence modelling. Int J Num Method Fluids 50(5):597–621
Shao S (2006) Simulation of breaking wave by SPH method coupled with k–ε model. J Hydraul Res 40(3):338–349
Sibilla S (2015) An algorithm to improve consistency in smoothed particle hydrodynamics. Comput Fluids 118:148–158
Subramanya K, Porey PD (1984) Trajectory of a turbulent cross jet. J Hydraul Res 22(5):343–354
Ulrich C, Leonardi M, Rung T (2013) Multi-physics SPH simulation of complex marine-engineering hydrodynamic problems. Ocean Eng 64:109–121
Violeau D (2012) Fluid mechanics and the SPH method: theory and applications. Oxford University Press, Oxford
Violeau D, Issa R (2007) Numerical modelling of complex turbulent free-surface flows with the SPH method: an overview. Int J Numer Methods Fluids 53:277–304
Wood IR, Bell RG, Wilkinson DL (1993) Ocean disposal of wastewater. Advances series on ocean engineering. World Scientific, Singapore, p 425
Xu Z, Chen Y, Wang Y, Zhang C (2017) Near-field dilution of a turbulent jet discharged into coastal waters: effect of regular waves. Ocean Eng 140:29–42
Yuan LL, Street RL (1998) Trajectory and entrainment of a round jet in crossflow. Phys Fluids 10(9):2323–2335
Zijnem BG, Der Hegge Van (1958) Measuremnts at turbulence in a plane jet of air by the diffusion methos by the hot wire method. Appl Sci Res A 7:293–313
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
De Padova, D., Mossa, M. & Sibilla, S. Characteristics of nonbuoyant jets in a wave environment investigated numerically by SPH. Environ Fluid Mech 20, 189–202 (2020). https://doi.org/10.1007/s10652-019-09712-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10652-019-09712-x