Abstract
The present work contains results from numerical simulations of particle-laden isotropic turbulence at high Reynolds and Stokes numbers (up to Re λ =265 and St=100 based on the Taylor length scale and Kolmogorov time scale, respectively). The focus is on the effect of small-scale turbulence on the particles, a modelling issue for LES of particle-laden flow. The results show that in dependence of Stokes number, particles tend to cluster in regions where kinetic energy of the unresolved scales is lower than average. This effect was so far neglected in most LES models for particle-laden flow. Furthermore, the results show that locations for particle clustering and mechanisms leading to clustering are dominated by large-scale dynamics, a promising result for LES.
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References
Armenio, V., Fiorotto, V.: The importance of the forces acting on particles in turbulent flows. Phys. Fluids 13(8), 2437–2440 (2001). DOI 10.1063/1.1385390. URL http://dx.doi.org/10.1063/1.1385390
Armenio, V., Piomelli, U., Fiorotto, V.: Effect of the subgrid scales on particle motion. Phys. Fluids 11(10), 3030–3042 (1999)
Ayyalasomayajula, S., Gylfason, A., Collins, L.R., Bodenschatz, E., Warhaft, Z.: Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence. Phys. Rev. Lett. 97(14), 144507 (2006). DOI 10.1103/PhysRevLett.97.144507. URL http://dx.doi.org/10.1103/PhysRevLett.97.144507
Balachandar, S., Eaton, J.K.: Turbulence dispersed multiphase flow. Ann. Rev. Fluid Mech. 42(1) (2010). DOI 10.1146/annurev.fluid.010908.165243. URL http://dx.doi.org/10.1146/annurev.fluid.010908.165243
Balachandar, S., Maxey, M.R.: Methods for evaluating fluid velocities in spectral simulations of turbulence. J. Comput. Phys. 83(1), 96–125 (1989)
Biferale, L., Boffetta, G., Celani, A., Devenish, B.J., Lanotte, A., Toschi, F.: Multifractal statistics of Lagrangian velocity and acceleration in turbulence. Phys. Rev. Lett. 93(6), 064502 (2004). DOI 10.1103/PhysRevLett.93.064502. URL http://dx.doi.org/10.1103/PhysRevLett.93.064502
Clift, R., Grace, J.R., Weber, M.E.: Bubbles, Drops and Particles. Academic Press, New York (1978)
Domaradzki, A.J., Saiki, E.M.: A subgrid-scale model based on the estimation of unresolved scales of turbulence. Physics of Fluids 9(7), 2148–2164 (1997). URL http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PHFLE6000009000007002148000001&idtype=cvips&gifs=yes
Fede, P., Simonin, O.: Numerical study of the subgrid fluid turbulence effects on the statistics of heavy colliding particles. Phys. Fluids 18(4), 045103 (2006). DOI 10.1063/1.2189288. URL http://dx.doi.org/10.1063/1.2189288
Gobert, C., Schwertfirm, F., Manhart, M.: Lagrangian scalar tracking for laminar micromixing at high schmidt numbers. In: Proceedings of the 2006 ASME Joint U.S.-European Fluids Engineering Summer Meeting. Miami, Fl. (2006)
Guha, A.: Transport and deposition of particles in turbulent and laminar flow. Ann. Rev. Fluid Mech. 40(1), 311–341 (2008). DOI 10.1146/annurev.fluid.40.111406.102220. URL http://dx.doi.org/10.1146/annurev.fluid.40.111406.102220
Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems. Springer Series in Computational Mathematics. Springer, New York (1990)
Hogan, R.C., Cuzzi, J.N.: Stokes and reynolds number dependence of preferential particle concentration in simulated three-dimensional turbulence. Physics of Fluids 13, 2938–2945 (2001). DOI 10.1063/1.1399292. URL http://dx.doi.org/10.1063/1.1399292
Kubik, A., Kleiser, L.: Forces acting on particles in seperated wall-bounded shear flow. Proc. Appl. Math. Mech. 4, 512–513 (2004)
Kuerten, J.G.M., Vreman, A.W.: Can turbophoresis be predicted by large-eddy simulation? Phys. Fluids 17, 011701 (2005)
Manhart, M.: A zonal grid algorithm for DNS of turbulent boundary layers. Comput. Fluids 33(3), 435–461 (2004)
Meneveau, C., Lund, T.S., Cabot, W.H.: A Lagrangian dynamic subgrid-scale model of turbulence. J. Fluid Mech. 319, 353–385 (1996)
Meyer, D.W., Jenny, P.: Conservative velocity interpolation for PDF methods. Proc. Appl. Math. Mech. 4(1), 466–467 (2004)
Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge, UK (2000)
Sagaut, P.: Large Eddy Simulation for Incompressible Flows. Springer (2006). URL http://books.google.de/books?hl=de&lr=&id=ODYiH6RNyoQC&oi=fnd&pg=PA1&dq=sagaut+Large+Eddy+Simulation+for+Incompressible+Flows&ots=XdayeamC04&sig=n8-WY6PRTKbN9_DvBAE473d0tgs
Stone, H.L.: Iterative solution of implicit approximations of multidimensional partial differential equations. SIAM J. Num. Anal. 5(3), 530–558 (1968). URL http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJNAAM000005000003000530000001&idtype=cvips&gifs=yes
Sullivan, N.P., Mahalingam, S., Kerr, R.M.: Deterministic forcing of homogeneous, isotropic turbulence. Phys. Fluids 6(4), 1612–1614 (1994)
Wang, L.P., Maxey, M.R.: Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence. J. Fluid Mech. 256, 27–68 (1993). URL http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1993JFM...256...27W
Wang, Q., Squires, K.D.: Large eddy simulation of particle-laden turbulent channel flow. Phys. Fluids 8(5), 1207–1223 (1996)
Williamson, J.H.: Low-storage Runge-Kutta schemes. J. Comput. Phys. 35, 48–56 (1980)
Yang, Y., He, G.W., Wang, L.P.: Effects of subgrid-scale modeling on Lagrangian statistics in large-eddy simulation. J. Turbul. 9, N8 (2008). DOI 10.1080/14685240801905360. URL http://dx.doi.org/10.1080/14685240801905360
Yeung, P.K., Pope, S.B.: An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence. J. Comput. Phys. 79(2), 373–416 (1988)
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Gobert, C., Manhart, M. (2010). Numerical Experiments for Quantification of Small-Scale Effects in Particle-Laden Turbulent Flow. In: Wagner, S., Steinmetz, M., Bode, A., Müller, M. (eds) High Performance Computing in Science and Engineering, Garching/Munich 2009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13872-0_7
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DOI: https://doi.org/10.1007/978-3-642-13872-0_7
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