Publications and Preprints

Refereed journal articles and book chapters

• 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

• M. Nitsche, 3D-Visualization of blood flow fields obtained with MR Imaging techniques, IMA Preprint Series , 1456, 1--22 (1997).