A multiscale measure for mixing

Physica D: Nonlinear Phenomena

Volumn 211, Issue 1-2, 2005, Pages 23-46

  Mathew, George ^a   Mezić, Igor ^a   Petzold, Linda ^a  

^a University of California   (United States)

Author keywords

Chaotic advection; Mixing

Indexed keywords

ALGEBRA; NUMERICAL ANALYSIS;

ALGEBRAIC MIXING; CHAOTIC ADVECTION; MULTISCALE MEASURE; SCALAR DENSITY;

MIXING;

EID: 27144530624     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.07.017     Document Type: Article

References (20)

1. H. Aref Stirring by chaotic advection J. Fluid Mech. 143 1984 1 21
2. V.I. Arnold, and A. Avez Ergodic Problems of Classical Mechanics 1968 Benjamin New York
3. P. Ashwin, M. Nicol, and N. Kirkby Acceleration of one-dimensional mixing by discontinuous mappings Physica A 310 2002 347 363
4. D. Betz Physical mechanisms of mixing 2001 University of California Santa Barbara
5. R. Courant, and D. Hilbert Methods of Mathematical Physics 1962 Interscience New York
6. D. D'Alessandro, M. Dahleh, and I. Mezić Control of mixing: a maximum entropy approach IEEE Trans. Automatic Control 44 1999 1852 1864
7. M. Frigo, and S.G. Johnson FFTW: an adaptive software architecture for the FFT Proc. ICASSP 3 1998 1381 1384
8. A. Katok, J.M. Strelcin, Invariant Manifolds, Entropy and Billiards - Smooth Maps with Singularities, Lecture Notes in Mathematics, Springer-Verlag, New York, 1980, p. 1222.
9. T.S. Krasnopolskaya, V.V. Meleshko, G.W.M. Peters, and H.E.H. Meijer Mixing in Stokes flow in an annular wedge cavity Eur. J. Mech. B. Fluids 18 1999 793 822
10. A. Lasota, and M. Mackey Chaos, Fractals and Noise Applied Mathematical Sciences 1994 Springer Berlin 97
11. G. Mathew, I. Mezić, R. Serban, L. Petzold, Characterization of Mixing in an Active Micromixer, Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, 2003 (preprint).
12. J.M. Ottino The Kinematics of Mixing: Stretching, Chaos and Transport 1989 Cambridge University Press Cambridge, England
13. Ya.B. Pesin Characteristic Lyapunov exponents and smooth ergodic theory Russian Math. Surveys 32 4 1977 55 114
14. K. Petersen, Ergodic Theory, vol. 2, Cambridge Studies in Advanced Mathematics, 1983.
15. B. Protas, T. Bewley, and G. Hagen A computational framework for the regularization of adjoint analysis in multiscale PDE systems J. Computat. Phys. 195 1 2004 49 89
16. D. Rothstein, E. Henry, and J.P. Gollub Persistent patterns in transient chaotic fluid mixing Nature 401 1999 770 772
17. J.-L. Thiffeault, and S. Childress Chaotic mixing in a torus map Chaos 13 2 2003 502 507
18. B.V. Chirikov A universal instability of many-dimensional oscillator systems Phys. Reports 52 1979 264 379
19. M. Volpert, C. Meinhart, I. Mezić, M. Dahleh, Modeling and numerical analysis of mixing in an actively controlled micromixer, HEFAT, First International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Kruger Park, South Africa, 2002.
20. S. Wiggins Chaotic Transport in Dynamical Systems 1992 Springer-Verlag New York