Numerical simulation of Stokes flow by Matt Finn, see Finn, M., Cox, S. & Byrne, H.,

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Mixing in Multiconnected Planar Domains FM22L\_ 12442 Philip Boyland Mathematics, University of Florida August, 2004

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Mixing in Multiconnected Planar Domains FM22L\_ 12442 Philip Boyland Mathematics, University of Florida August, 2004. PseudoAnosov. Finite Order. Numerical simulation of Stokes flow by Matt Finn, see Finn, M., Cox, S. & Byrne, H., - PowerPoint PPT Presentation

Transcript of Numerical simulation of Stokes flow by Matt Finn, see Finn, M., Cox, S. & Byrne, H.,

Page 1: Numerical simulation of Stokes flow by Matt Finn, see  Finn, M., Cox, S. & Byrne, H.,

Mixing in Multiconnected Planar DomainsFM22L\_ 12442

Philip Boyland

Mathematics, University of Florida August, 2004

Page 2: Numerical simulation of Stokes flow by Matt Finn, see  Finn, M., Cox, S. & Byrne, H.,

Numerical simulation of Stokes flow by Matt Finn, see Finn, M., Cox, S. & Byrne, H., “Topological chaos in inviscid and viscous mixers”, J. Fluid Mech., 493, 345--361, 2003.

PseudoAnosov Finite Order

Page 3: Numerical simulation of Stokes flow by Matt Finn, see  Finn, M., Cox, S. & Byrne, H.,

Experiment by Mark Stremler, see Boyland, P., Aref, H. and Stremler, M., Topologicalfluid mechanics of stirring, J. Fluid Mech., 403, 277--304, 2000.

PseudoAnosov Finite Order

Initial state

Page 4: Numerical simulation of Stokes flow by Matt Finn, see  Finn, M., Cox, S. & Byrne, H.,

Experiment by Mark Stremler, see Boyland, P., Aref, H. and Stremler, M., Topologicalfluid mechanics of stirring, J. Fluid Mech., 403, 277--304, 2000.

PseudoAnosov Finite Order

1 iterate

Page 5: Numerical simulation of Stokes flow by Matt Finn, see  Finn, M., Cox, S. & Byrne, H.,

Experiment by Mark Stremler, see Boyland, P., Aref, H. and Stremler, M., Topologicalfluid mechanics of stirring, J. Fluid Mech., 403, 277--304, 2000.

PseudoAnosov Finite Order

2 iterates

Page 6: Numerical simulation of Stokes flow by Matt Finn, see  Finn, M., Cox, S. & Byrne, H.,

Experiment by Mark Stremler, see Boyland, P., Aref, H. and Stremler, M., Topologicalfluid mechanics of stirring, J. Fluid Mech., 403, 277--304, 2000.

PseudoAnosov Finite Order

9 iterates

Page 7: Numerical simulation of Stokes flow by Matt Finn, see  Finn, M., Cox, S. & Byrne, H.,