Mark Sussman

Associate Professor VITA
list of publications, available preprints, available source code for CLSVOF
Department of Mathematics
Florida State University
sussman@math.fsu.edu
Department of Mathematics, Florida State University, Tallahassee, FL 32306
Office: Love 002C, phone: 850-644-7194, fax: 850-644-4053

January 6, 2009, career in Math rated BEST job! (Wall Street Journal, Careers)

Blackboard , information for campus computer labs

Calculus Study tips (by: D.A. Kouba, UCD) , tips for plotting data. Burden and Faires sample programs (C,Fortran,...).

Numerical simulation of multiphase flow (click picture for animation): Bending laminar liquid jet in high speed gas cross-flow; velocity ratio 10:1, density ratio 1:1000. Adaptive mesh refinement and Parallel computing. Base grid: 256x128x128 plus 3 levels of refinement. (with M. Arienti (UTRC), V. Mihalef (Rutgers) , M. Soteriou (UTRC))

Comparison with experiment, which is which!

More comparison with experiment; density ratio is 1:1000, velocity ratio 10:1.

We (applied and computational math group at FSU) have access to our very own cluster: a.k.a. "THE BEAST"! Each node has 4 cores and one hefty GPU card. That makes 88 cores and 22 GPUs.

Numerical simulation of flow past an animated North America Right Whale (click picture for animation). Two levels of adaptivity. This is work with Anna McGregor, Dr. Ross McGregor, Dr. Doug Nowacek from the Duke Marine Labs, Austen Duffy (graduate student, Florida State applied math), and Dr. Gorden Erlebacher (Florida State, Department of Scientific Computing).

Numerical simulation of droplet formation in a T-junction (click picture for animation). Continuous phase fluid travels 10 times faster than the "droplet" fluid. Square cross section 1E-4 cm^2. Grid resolution: 160x36x18. Contact angle: 135 degrees. Size of the larger droplets consistently have an effective diameter of 0.010cm which is in agreement with experiment and simulation reported by van der Graaf et al, Langmuir 2006, 22, 4144-4152 (continuous phase flow rate v_max=8.3cm/s). This work with Austen Duffy (graduate student, Florida State applied math), and Dr. Michael Roper (Florida State, Department of chemistry and biochemistry).

Numerical simulation of vortex rings of a heavy drop falling in a viscous liquid. Simulations agree with experiments reported by Baumann, Joseph, Mohr and Renardy, Phys. of Fluids A, volume 4, p. 567-580 (1992)! (with M. Ohta, Y. Akama, and Y. Yoshida (Muroran Institute of Technology))

Numerical simulation of unstable light drops rising in a viscous liquid. Simulations agree with experiments! (with M. Ohta, Y. Akama, Y. Yoshida (Muroran Institute of Technology))

Morton number=0.2, Eotvos number=52.8

Morton number=0.0002, Eotvos number=19.2

Morton number=0.0002, Eotvos number=21.8

Morton number=0.0002, Eotvos number=22.9

Morton number=2.2, Eotvos number=70.1

Numerical simulation of multiphase flow: Animation and Control of Breaking Waves (with V. Mihalef and D. Metaxas, Rutgers)

Numerical simulation of multiphase flow (click picture for animation): Boiling and solid-fluid interaction (with V. Mihalef, S. Kadioglu, B. Unlusu, D. Metaxas, M.Y. Hussaini)

For this boiling movie, the temperature of the solid changes from hot to cold (click picture for animation).

Numerical simulation of multiphase flow (click picture for animation): solid-fluid interaction, contact line dynamics (with V. Mihalef, S. Kadioglu, D. Metaxas)

Numerical simulation of multiphase flow (click picture for animation): solid-fluid interaction (with V. Mihalef, S. Kadioglu, D. Metaxas)

Numerical simulation of multiphase flow (click picture for animation): underwater explosion, shock waves and solid-fluid interaction (with S. Kadioglu, D. Rubin, J. Wright)

Numerical simulation of multiphase flow (click picture for animation): underwater explosion, shock waves and cavitation effects (with S. Kadioglu, D. Rubin, J. Wright)

Numerical simulation of multiphase flow (click pictures for animation): underwater implosion, shock waves and solid-fluid interaction (with S. Kadioglu, D. Rubin, J. Wright)

Implosion with endcaps included... (click for animation)

Numerical simulation of multiphase flow (click for animation): milk-drop simulation (with V. Mihalef, D. Metaxas, E. Jimenez)

Numerical simulation of multiphase flow: computation of ship waves (with D. Dommermuth; visualized by K. Beason, CS)

Click here for more Movies of flow around a DDG 5415 Navy Ship. Visualization generated by Kevin Beason, CS department

Numerical simulation of multiphase flow: computation of microscale jetting in ink-jet device (with E.G. Puckett and J. Andrews)

Numerical simulation of multiphase flow: non-newtonian (Oldroyd-B) bubbles (with M. Ohta)

Numerical simulation of multiphase flow: wobbly bubble (with M. Ohta)

Research Synopsis

Research Key words: Level Set Methods, Volume of Fluid Methods, Spectral Methods, Multi-phase Flow, Adaptive Mesh Refinement.

Applications: Navy Ship waves, Breaking Waves, Underwater explosions and implosions, Computer Animation, Complex Fluids, Microscale Jetting devices, Shock Waves, Bubble and Drop dynamics, Spreading Phenomena (oil spreading under ice in water).