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and mixing in gravity-driven dense granular flows. Physical Review Letters 92 (17): 174301.
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tracking velocimetry. Measurement Science & Technology 16 (7): 1449–1458.
13. Guler, M., T.B. Edil, and P.J. Bosscher. 1999. Measurement of particle movement in granular
soils using image analysis. Journal of Computing in Civil Engineering 13 (2): 116–122.
14. Capart, H., D.L. Young, and Y. Zech. 2002. Voronoï imaging methods for the measurement of
granular flows. Experiments in Fluids 32 (1): 121–135.
15. Kazuo Ohmi and Hang Yu Li. 2002. Particle-tracking velocimetry with new algorithms. Measurement Science & Technology 11 (6): 603.
16. Pereira F, Stüer, Heinrich, Graff E C, and et al. Two-frame 3d particle tracking. Measurement
Science and Technology, 17(7):1680–1692, 2006.
17. S.Y. Jiang, X.T. Yang, Z.W. Tang, W.J. Wang, J.Y. Tu, Z.Y. Liu, and J. Li. Experimental and
numerical validation of a two-region-designed pebble bed reactor with dynamic core. Nuclear
Engineering and Design, 246:277 – 285, 2012. Selected and expanded papers from International
Conference Nuclear Energy for New Europe 2010, Portoro?, Slovenia, September 6-9, 2010.
18. Okamoto, K., S. Nishio, T. Saga, and T. Kobayashi. 2000. Standard images for particle-image
velocimetry. Measurement Science & Technology 11 (6): 685.
19. Mikheev, A.V., and V.M. Zubtsov. 2008. Enhanced particle-tracking velocimetry (eptv) with
a combined two-component pair-matching algorithm. Measurement Science & Technology 19
(8): 085401.
20. W. Brevis, Y. Niño, and G. H. Jirka. Integrating cross-correlation and relaxation algorithms for
particle tracking velocimetry. Experiments in Fluids, 50(1):135–147, 2011.
21. Alexandre Grossmann and J. Morlet. Decomposition of hardy functions into square integrable
wavelets of constant shape. SIAM Journal on Mathematical Analysis, 15:723–736, 07 1984.
22. Ingrid Daubechies, A. Grossmann, and Y. Meyer. Painless nonorthogonal expansions. Journal
of Mathematical Physics, 27(5):1271–1283, 1986.
23. J. M. Combes, A. Grossmann, Ph. Tchamitchian, and Allan D. Pierce. Wavelets: Timefrequency methods and phase space. Inverse Problems & Theoretical Imaging, -1(5):2477–
2478, 1989.
24. Walker, James S. 1999. Wavelets, vibrations and scalings (crm monograph series 9). Bulletin
of the London Mathematical Society 31 (6): 740–743.
25. Ingrid Daubechies. Wavelets and applications, pages 848–862. 01 2010.
26. Arneodo, A., E. Bacry, and J.F. Muzy. 2017. The thermodynamics of fractals revisited with
wavelets. Physica A Statistical Mechanics & Its Applications 213 (1–2): 232–275.
27. Angel, Garcimartín, Zuriguel Iker, Janda Alvaro, and Maza Diego. 2011. Fluctuations of grains
inside a discharging two-dimensional silo. Physical Review E Statistical Nonlinear & Soft
Matter Physics 84 (3 Pt 1): 031309.
28. Leonardo E Silbert. Temporally heterogeneous dynamics in granular flows. Physical Review
Letters, 94(9):098002, 2005.
29. Savage, S.B., and R. Dai. 1993. Studies of granular shear flows wall slip velocities, "layering"
and self-diffusion. Mechanics of Materials 16 (1–2): 225–238.
30. R. D. Wildman, J. M. Huntley, and J. P. Hansen. Self-diffusion of grains in a two-dimensional
vibrofluidized bed. Physical Review E Statistical Physics Plasmas Fluids & Related Interdisciplinary Topics, 60(6 Pt B):7066, 1999.
117
7. KADAK A C and BALLINGER R G. Mit modular pebble bed reactor (mpbr). In 2nd International Topical Meeting on High Temperature Reactor Technology, Beijing, 2004.
8. Choi, Jaehyuk, Arshad Kudrolli, Rodolfo R. Rosales, and Martin Z. Bazant. 2004. Diffusion
and mixing in gravity-driven dense granular flows. Physical Review Letters 92 (17): 174301.
9. International Atomic Energy Agency (IAEA). Current status and future development of modular high-temperature gas cooled reactor technology. IAEA-TECDOC-1198, Vienna, Austria,
2001.
10. A. C. Kadark. Pebble dynamics in pbmr: experiments and modeling, 2000.
11. Baek, S.J., and S.J. Lee. 1996. A new two-frame particle tracking algorithm using match
probability. Experiments in Fluids 22 (1): 23–32.
12. Ruhnau, P., C. Guetter, T. Putze, and C. Schnörr. 2005. A variational approach for particle
tracking velocimetry. Measurement Science & Technology 16 (7): 1449–1458.
13. Guler, M., T.B. Edil, and P.J. Bosscher. 1999. Measurement of particle movement in granular
soils using image analysis. Journal of Computing in Civil Engineering 13 (2): 116–122.
14. Capart, H., D.L. Young, and Y. Zech. 2002. Voronoï imaging methods for the measurement of
granular flows. Experiments in Fluids 32 (1): 121–135.
15. Kazuo Ohmi and Hang Yu Li. 2002. Particle-tracking velocimetry with new algorithms. Measurement Science & Technology 11 (6): 603.
16. Pereira F, Stüer, Heinrich, Graff E C, and et al. Two-frame 3d particle tracking. Measurement
Science and Technology, 17(7):1680–1692, 2006.
17. S.Y. Jiang, X.T. Yang, Z.W. Tang, W.J. Wang, J.Y. Tu, Z.Y. Liu, and J. Li. Experimental and
numerical validation of a two-region-designed pebble bed reactor with dynamic core. Nuclear
Engineering and Design, 246:277 – 285, 2012. Selected and expanded papers from International
Conference Nuclear Energy for New Europe 2010, Portoro?, Slovenia, September 6-9, 2010.
18. Okamoto, K., S. Nishio, T. Saga, and T. Kobayashi. 2000. Standard images for particle-image
velocimetry. Measurement Science & Technology 11 (6): 685.
19. Mikheev, A.V., and V.M. Zubtsov. 2008. Enhanced particle-tracking velocimetry (eptv) with
a combined two-component pair-matching algorithm. Measurement Science & Technology 19
(8): 085401.
20. W. Brevis, Y. Niño, and G. H. Jirka. Integrating cross-correlation and relaxation algorithms for
particle tracking velocimetry. Experiments in Fluids, 50(1):135–147, 2011.
21. Alexandre Grossmann and J. Morlet. Decomposition of hardy functions into square integrable
wavelets of constant shape. SIAM Journal on Mathematical Analysis, 15:723–736, 07 1984.
22. Ingrid Daubechies, A. Grossmann, and Y. Meyer. Painless nonorthogonal expansions. Journal
of Mathematical Physics, 27(5):1271–1283, 1986.
23. J. M. Combes, A. Grossmann, Ph. Tchamitchian, and Allan D. Pierce. Wavelets: Timefrequency methods and phase space. Inverse Problems & Theoretical Imaging, -1(5):2477–
2478, 1989.
24. Walker, James S. 1999. Wavelets, vibrations and scalings (crm monograph series 9). Bulletin
of the London Mathematical Society 31 (6): 740–743.
25. Ingrid Daubechies. Wavelets and applications, pages 848–862. 01 2010.
26. Arneodo, A., E. Bacry, and J.F. Muzy. 2017. The thermodynamics of fractals revisited with
wavelets. Physica A Statistical Mechanics & Its Applications 213 (1–2): 232–275.
27. Angel, Garcimartín, Zuriguel Iker, Janda Alvaro, and Maza Diego. 2011. Fluctuations of grains
inside a discharging two-dimensional silo. Physical Review E Statistical Nonlinear & Soft
Matter Physics 84 (3 Pt 1): 031309.
28. Leonardo E Silbert. Temporally heterogeneous dynamics in granular flows. Physical Review
Letters, 94(9):098002, 2005.
29. Savage, S.B., and R. Dai. 1993. Studies of granular shear flows wall slip velocities, "layering"
and self-diffusion. Mechanics of Materials 16 (1–2): 225–238.
30. R. D. Wildman, J. M. Huntley, and J. P. Hansen. Self-diffusion of grains in a two-dimensional
vibrofluidized bed. Physical Review E Statistical Physics Plasmas Fluids & Related Interdisciplinary Topics, 60(6 Pt B):7066, 1999.