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An assessment of SPH simulations of sudden expansion/contraction 3-D channel flows

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Abstract

In this paper, we investigate the application of smoothed particle hydrodynamics (SPH) to the computation of 3-D flows in channels with sudden expansion or contraction. In the same context, we also discuss 2-D SPH computations applicable to channels characterized by cross-sections of large aspect ratios. The particle nature of SPH allows us to treat macro-systems similarly to atomic systems, transferring knowledge from molecular dynamics (MD) and dissipative particle dynamics (DPD) and suggesting a common framework for simulations at different scales. Computations are carried out by making use of tools previously used for atomic-scale systems (usually MD) and mesoscopic systems (usually DPD). The results obtained suggest that SPH captures the main flow characteristics and achieves good accuracy both in 2-D and 3-D, at least for Re values in the range 0.0177 to 55.4 investigated here. Minor numerical artifacts may be observed near the solid boundaries, especially at corner discontinuities. Such localized inaccuracies near points of geometric discontinuity are common in all numerical simulation methods.

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References

  1. Shadloo MS, Oger G, Le Touzé D (2016) Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: motivations, current state, and challenges. Comput Fluids 136:11–34

    Article  MathSciNet  Google Scholar 

  2. Monaghan JJ, Gingold RA (1983) Shock simulation by the particle method SPH. J Comput Phys 52(2):374–389

    Article  Google Scholar 

  3. Monaghan JJ (1992) Smoothed particle hydrodynamics. Annu Rev Astron Astrophys 30:543–574

    Article  Google Scholar 

  4. Khorasanizade S, Sousa JMM (2016) An innovative open boundary treatment for incompressible SPH. Int J Numer Meth Fluids 80:161–180

    Article  MathSciNet  Google Scholar 

  5. Kazemi E, Nichols A, Tait S, Shao S (2017) SPH modelling of depth-limited turbulent open channel flows over rough boundaries. Int J Numer Meth Fluids 83:3–27

    Article  MathSciNet  Google Scholar 

  6. Ye T, Nhan P-T, Chwee Teck L, Peng L, Shi H (2017) Hybrid smoothed dissipative particle dynamics and immersed boundary method for simulation of red blood cells in flows. Phys Rev E 95:063314

    Article  MathSciNet  Google Scholar 

  7. 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 

  8. Nomeritae N, Bui HH, Daly E (2018) Modeling transitions between free surface and pressurized flow with Smoothed Particle Hydrodynamics. J Hydraul Eng 144(5):04018012

    Article  Google Scholar 

  9. Adami S, Hu XY, Adams NA (2012) A generalized wall boundary condition for smoothed particle hydrodynamics. J Comput Phys 231:7057–7075

    Article  MathSciNet  Google Scholar 

  10. Olejnik M, Szewc K, Pozorski J (2017) SPH with dynamical smoothing length adjustment based on the local flow kinematics. J Comput Phys 34:23–44

    Article  MathSciNet  Google Scholar 

  11. Monaghan JJ, Kajtar JB (2009) SPH particle boundary forces for arbitrary boundaries. Comput Phys Commun 180(10):1811–1820

    Article  MathSciNet  Google Scholar 

  12. Ahmed WH, Ching CY, Shoukri M (2007) Pressure recovery of two-phase flow across sudden expansions. Int J Multiph Flow 33:575–594

    Article  Google Scholar 

  13. Aloui F, Doubliez L, Legarand J, Souhar M (1999) Bubbly flow in an axisymmetric sudden expansion: pressure drop, void fraction, wall shear stress, bubble velocities and sizes. Exp Therm Fluid Sci 18:118–130

    Article  Google Scholar 

  14. Nouri D, Pasandideh-Fard M, Oboodi MJ, Mahian O, Sahin AZ (2018) Entropy generation analysis of nanofluid flow over a spherical heat source inside a channel with sudden expansion and contraction. Int J Heat Mass Transf 116:1036–1043

    Article  Google Scholar 

  15. Khan SA, Aabid A, Ghasi FAM, Al-Robaian AA, Alsagri AS (2019) Analysis of area ratio in a CD nozzle with suddenly expanded duct using CFD method. CFD Lett 11(5):61–71

    Google Scholar 

  16. Sato T, Harada K, Taniguchi T (2019) Multiscale simulations of flows of a well-entangled polymer melt in a contraction-expansion channel. Macromolecules 52(2):547–564

    Article  Google Scholar 

  17. Caballero A, Mao W, Liang L, Oshinski J, Primiano C, McKay R, Kodali S, Wei S (2017) Modeling left ventricular blood flow using smoothed particle hydrodynamics. Cardiovasc Eng Technol 8(4):465–479

    Article  Google Scholar 

  18. Wu T, Guo Q, Ma H, Feng JJ (2015) The critical pressure for driving a red blood cell through a contracting microfluidic channel. Theor App Mech Lett 5(6):227–230

    Article  Google Scholar 

  19. Sofos F, Karakasidis TΕ, Spetsiotis D (2019) Molecular Dynamics simulations of ion separation in nano-channel water flows using an electric field. Mol Simul 45:1395–1402

    Article  Google Scholar 

  20. Tang Y-H, Karniadakis GE (2014) Accelerating dissipative particle dynamics simulations on GPUs: algorithms, numerics and applications. Comput Phys Comm 185(11):2809–2822

    Article  MathSciNet  Google Scholar 

  21. Plimpton S (1995) Fast parallel algorithms for short-range molecular dynamics. J Comput Phys 117:1–19

    Article  Google Scholar 

  22. Chatzoglou E. (2019) SPH based study of turbulent open channel flow with permeable bed. Dipl Thesis, University of Thessaly, Volos, GR

  23. Tafuni A, Domínguez JM, Vacondio R, Crespo AJC (2018) A versatile algorithm for the treatment of open boundary conditions in smoothed particle hydrodynamics GPU models. Comput Methods Appl Mech Eng 342:604–624

    Article  MathSciNet  Google Scholar 

  24. Szewc K (2017) Smoothed particle hydrodynamics modeling of granular column collapse. Granular Matter 19:3

    Article  Google Scholar 

  25. Seerha PPS, Kumar P, Das AK, Mitra SK (2017) Proposition of stair climb of a drop using chemical wettability gradient. Phys Fluids 29:072103

    Article  Google Scholar 

  26. Shigorina E, Tartakovsky AM, Kordilla J (2019) Investigation of gravity-driven infiltration instabilities in smooth and rough fractures using a pairwise-force smoothed particle hydrodynamics model. Vadose Zone J 18:180159

    Article  Google Scholar 

  27. Sofos F, Liakopoulos A, Karakasidis TΕ (2019) Particle-based modeling and meshless simulation of flows with smoothed particle hydrodynamics. Global Nest 21:513–518

    Google Scholar 

  28. Ganzenmüller GC, Steinhauser MO, Van Liedekerke P (2011) The implementation of Smooth Particle Hydrodynamics in LAMMPS. http://lammps.sandia.gov/doc/PDF/SPH_LAMMPS_userguide.pdf. Accessed 2011

  29. Liakopoulos A, Sofos F, Karakasidis TE (2018) Modelling environmental flows with Lagrangian particle methods. In: Proceedings of the international conference on the protection and restoration of the environment 14 (PRE14)

  30. Morris JP, Fox PJ, Zhu Y (1997) Modeling low Reynolds number incompressible flows using SPH. J Comput Phys 136:214–226

    Article  Google Scholar 

  31. Ellero M, Adams NA (2011) SPH simulations of flow around a periodic array of cylinders confined in a channel. Int J Numer Meth Engng 86:1027–1040

    Article  Google Scholar 

  32. Sofos F (2009) Fluid flows at the nanoscale: a study by Molecular Dynamics methods. PhD Thesis, University of Thessaly

  33. Liakopoulos A, Sofos F, Karakasidis TE (2016) Friction factor in nanochannel flows. Microfluid Nanofluid 20:1–7

    Article  Google Scholar 

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Authors and Affiliations

  1. Hydromechanics and Environmental Engineering Laboratory, Department of Civil Engineering, University of Thessaly, Pedion Areos, 38334, Volos, Greece

    Filippos Sofos, Efstathios Chatzoglou & Antonios Liakopoulos

  2. Physics Department, University of Thesssaly, 35100, Lamia, Greece

    Filippos Sofos

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  1. Filippos Sofos
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  2. Efstathios Chatzoglou
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  3. Antonios Liakopoulos
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Correspondence to Filippos Sofos.

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Sofos, F., Chatzoglou, E. & Liakopoulos, A. An assessment of SPH simulations of sudden expansion/contraction 3-D channel flows. Comp. Part. Mech. 9, 101–115 (2022). https://doi.org/10.1007/s40571-021-00396-z

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  • DOI: https://doi.org/10.1007/s40571-021-00396-z

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