Publications and Preprints
Refereed journal articles and book chapters
- M. Nitsche, A. Oza and M. Siegel,
On the stability of an in-line formation of hydrodynamically interacting flapping plates,
submitted,
(2024).
- M. Nitsche,
Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow,
Advances in Computational Mathematics,
(2022).
Supplemental Movies
Example 1: Double droplet through nozzle, Trapezoid vs Corrected:
Large scale,
closeup
Example 2: Double droplet through nozzle, Trapezoid vs Corrected:
Large scale (the uncorrected Trapezoid results break down soon after t=10$)
- M. Nitsche,
Evaluation of near-singular integrals with application to vortex sheet flow,
Theoretical and Computational Fluid Dynamics,
(2021).
(This is a preprint of an article published in TCFD. The final authenticated version is available online at : https://doi.org/10.1007/s00162-021-00577-9.)
Supplemental Movies
Particles moving in potential flow past plate:
Large scale,
Medium scale
Closeup
Vortex sheet separation at edges of inclined plate:
Large scale,
Medium scale,
Closeup
- M. Nitsche,
Deflection and trapping of a counter-rotating vortex pair by a flat plate,
Physical Review Fluids 2 (2017), 124702.
- L. Xu, M. Nitsche and R. Krasny,
Computation of the starting vortex flow past a flat plate,
Procedia IUTAM 20 (2017), 136--143.
- Y. Huang, M. Nitsche and E. Kanso,
Hovering in oscillatory flows,
J. Fluid Mech. 804 ,
531-549 (2016), doi:10.1017/jfm.2016.535.
- Y. Huang, M. Nitsche and E. Kanso,
Stability versus maneuverability in hovering flight,
Phys. Fluids
27,
061706, 5pp (2015); doi: 10.1063/1.4923314.
- L. Xu and M. Nitsche,
Start-up vortex flow past an accelerated flat plate,
Phys. Fluids
27, 033602, 18pp, (2015), doi: 10.1063/1.4913981.
- L. Xu and M. Nitsche,
Scaling behaviour in impulsively started viscous flow past a finite flat plate,
J. Fluid Mech.
756, 689-715 (2014), doi:10.1017/jfm.2014.451.
- M. Nitsche and L. Xu,
Circulation shedding in viscous starting flow past a flat plate,
Fluid Dyn. Res.
46, 061420, 12pp (2014), doi:10.1088/0169-5983/46/6/061420.
- P. D. Weidman, M. Nitsche and L. Howard,
Linear Waves and Nonlinear Wave Interactions
in a Bounded Three-Layer Fluid System,
Stud. Appl. Math.
128, Issue 4, 385-406 (May 2012).
- J. X. Sheng, A. Ysasi, D. Kolomenskiy,
E. Kanso, M. Nitsche* and K. Schneider,
Simulating vortex wakes of flapping plates,
in Natural Locomotion in Fluids
and on Surfaces Childress et al. (eds.),
IMA 155, DOI 10.1007/978-1-4614-3997-4-21, 255-262,
*corresponding author (2012).
-
M. Nitsche, P. D. Weidman, R. Grimshaw, M. Ghrist and B. Fornberg,
Evolution of solitary waves in a two-pycnocline system,
J. Fluid Mech. 642, 235-277 (2010).
- M. Nitsche, H. D. Ceniceros, A. L. Karniala and S. Naderi,
High order quadratures for the evaluation of interfacial
velocities in axi-symmetric Stokes flows,
J. Comp. Physics
229 (18), 63180-6342 (2010).
- D. Holm, M. Nitsche* and V. Putkaradze,
Euler-alpha and vortex blob regularization of vortex
filament and vortex sheet motion,
J. Fluid Mech.
555 , 149-176,
*corresponding author (2006).
- M. Nitsche,
Vortex Dynamics,
in Encyclopedia of Mathematics and Physics ,
eds. J.-P. Francoise, G. L. Naber, T. S. Tsun,
Elsevier Science Ltd (2006).
- M. Nitsche and P. H. Steen,
Numerical simulations of inviscid capillary pinchoff,
J. Comp. Phys. 200 , 299-324 (2004).
- R. Krasny and M. Nitsche,
The onset of chaos in vortex sheet flow,
J. Fluid Mech.
454, 47-69 (2002).
- M. Nitsche and J. Strickland,
Extension of the gridless vortex method into the compressible flow regime,
J. Turb 3 , (2002).
- M. Nitsche,
Self-similar shedding of vortex rings,
J. Fluid Mech.
435 , 397-407 (2001).
- M. Nitsche,
Singularity formation in a cylindrical and a spherical vortex sheet,
J. Comp. Phys.
173 , 208-230 (2001).
- M. Nitsche,
Axisymmetric vortex sheet motion: accurate evaluation of
the principal value integral,
SIAM J. Sci. Comp.
21 (3), 1066-1084 (1999).
- M. Nitsche,
Scaling properties of vortex ring formation at a circular tube opening,
Phys. Fluids
8 (7),
1848-1855 (July 1996).
- M. Nitsche,
Vortices,
in Macmillan Encyclopedia of Physics,
ed. J. S. Rigden, Simon & Schuster Macmillan, 1687-1689 (1996).
- M. Nitsche and R. Krasny,
A numerical study of vortex ring formation at the edge of a circular tube,
J. Fluid Mech.
276 , 139-161 (1994).
Articles in conference proceedings
- M. Nitsche, M. A. Taylor and R. Krasny,
Comparison of regularizations of vortex sheet motion
(doi:10.1016/B978-008044046-0.505259-1),
Proc. Second MIT conference
on Computational Fluid and Solid Mechanics (June 17-20, 2003,
235, Elsevier Science (2003, refereed).
- R. Krasny, K. Lindsay and M. Nitsche,
Simulation of vortex sheet roll-up:
chaos, azimuthal waves, ring merger , in
Tubes, Sheets and Singularities in Fluid Dynamics,
Proceedings of the NATO ARW, Zakopane, Poland, 2-7 September 2001,
eds. K. Bajer, H. K. Moffatt, Kluwer Academic Publishers, 3--12 (2001, refereed).
- M. Nitsche,
Core dynamics in vortex pairs and rings , in
IUTAM Symposium on Dynamics of Slender Vortices, Proceedings,
Aachen, Germany, 31 August - 3 September 1997,
eds. E. Krause & K. Gersten, Kluwer Academic Publishers,
143--152 (1998, refereed).
- M. Nitsche,
Scaling properties of vortex ring formation at a circular tube opening,
Proceedings, 6th International Symposium on Computational Fluid
Dynamics, Lake Tahoe (1995).
Reports