Abstract
A standard strategy to predict the modulation of turbulence by the presence of particles is the two-way coupling approach, where the solid phase is approximated by point particles, which introduce sources in the momentum conservation equation. A validation of this approach is presented for isotropic decaying turbulence laden with prolate and oblate particles of Kolmogorov-length-scale size by generating highly accurate reference results via direct particle-fluid simulations, where all turbulent scales and the complete flow field in the vicinity of the particles are resolved. About 30,000 oblate and prolate particles with aspect ratios raging from 0.25 to 4 are released into the flow field. The simulation using the two-way coupled spherical and ellipsoidal Lagrangian model is compared against the reference results. The analysis of turbulent kinetic energy budgets reveals that the particles release kinetic energy into the flow field and simultaneously enhance the dissipation rate. This behavior is correctly predicted by both point-particle models. The kinetic energy of the particles, however, is significantly overestimated by the point-particle models. Moreover, the ellipsoidal Lagrangian model fails to predict the angular velocity of the particles due to the missing correlation terms for finite fluid inertia.
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References
S. Balachandar, J.K. Eaton, Turbulent dispersed multiphase flow. Annu. Rev. Fluid Mech. 42, 111–133 (2010)
M. Berger, M. Aftosmis, Progress towards a Cartesian cut-cell method for viscous compressible flow, in AIAA Paper 2012–1301 (2012)
S. Elghobashi, On predicting particle-laden turbulent flows. Appl. Sci. Res. 52(4), 309–329 (1994)
A. Ferrante, S. Elghobashi, On the physical mechanisms of two-way coupling in particle-laden isotropic turbulence. Phys. Fluids 15(2), 315–329 (2003)
K. Fröhlich, L. Schneiders, M. Meinke, W. Schröder, Assessment of non-spherical point-particle models in LES using direct particle-fluid simulations, in AIAA Paper 2018–3714 (2018)
K. Fröhlich, L. Schneiders, M. Meinke, W. Schröder, Validation of Lagrangian two-way coupled point-particle models in large-Eddy simulations. Flow Turbul. Combust. 101(2), 317–341 (2018)
R. Glowinski, T. Pan, T. Hesla, D. Joseph, J. Periaux, A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. J. Comput. Phys. 169(2), 363–426 (2001)
C. Günther, M. Meinke, W. Schröder, A flexible level-set approach for tracking multiple interacting interfaces in embedded boundary methods. Comput. Fluids 102, 182–202 (2014)
D. Hartmann, M. Meinke, W. Schröder, A strictly conservative Cartesian cut-cell method for compressible viscous flows on adaptive grids. Comput. Meth. Appl. Mech. Eng. 200(9), 1038–1052 (2011)
M.R. Maxey, J.J. Riley, Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids 26(4), 883–889 (1983)
M. Meinke, W. Schröder, E. Krause, T. Rister, A comparison of second-and sixth-order methods for large-Eddy simulations. Comput. Fluids 31(4), 695–718 (2002)
L. Schneiders, J.H. Grimmen, M. Meinke, W. Schröder, An efficient numerical method for fully-resolved particle simulations on high-performance computers. PAMM 15(1), 495–496 (2015)
L. Schneiders, C. Günther, M. Meinke, W. Schröder, An efficient conservative cut-cell method for rigid bodies interacting with viscous compressible flows. J. Comput. Phys. 311, 62–86 (2016)
L. Schneiders, M. Meinke, W. Schröder, Direct particle-fluid simulation of Kolmogorov-length-scale size particles in decaying isotropic turbulence. J. Fluid Mech. 819, 188–227 (2017)
L. Schneiders, M. Meinke, W. Schröder, On the accuracy of Lagrangian point-mass models for heavy non-spherical particles in isotropic turbulence. Fuel 201, 2–14 (2017)
C. Siewert, R. Kunnen, M. Meinke, W. Schröder, Orientation statistics and settling velocity of ellipsoids in decaying turbulence. Atmos. Res. 142, 45–56 (2014)
K.D. Squires, J.K. Eaton, Particle response and turbulence modification in isotropic turbulence. Phys. Fluids A 2(7), 1191–1203 (1990)
B. van Leer, Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. J. Comput. Phys. 32(1), 101–136 (1979)
G.A. Voth, A. Soldati, Anisotropic particles in turbulence. Annu. Rev. Fluid Mech. 49, 249–276 (2017)
F.M. White, Viscous Fluid Flow (McGraw-Hill, 1991)
Acknowledgements
This work has been financed by the German Research Foundation (DFG) within the framework of the SFB/Transregio ’Oxyflame’ (subproject B2). The support is gratefully acknowledged. Computing resources were provided by the High Performance Computing Center Stuttgart (HLRS) and by the Jülich Supercomputing Center (JSC) within a Large-Scale Project of the Gauss Center for Supercomputing (GCS).
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Fröhlich, K., Meinke, M., Schröder, W. (2021). Simulation of Particulate Flow Using HPC Systems. In: Nagel, W.E., Kröner, D.H., Resch, M.M. (eds) High Performance Computing in Science and Engineering '19. Springer, Cham. https://doi.org/10.1007/978-3-030-66792-4_21
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