- Kivotides, Demosthenes and Leonard, Anthony (2021) Physics
of superfluid helium-4 vortex tangles in normal-fluid strain fields;
Physical Review Fluids; Vol. 6; No. 4; Art. No. 044702; 10.1103/physrevfluids.6.044702
- Kivotides, Demosthenes and Leonard, Anthony (2021) Helicity
spectra and topological dynamics of vortex links at high Reynolds
numbers; Journal of Fluid Mechanics; Vol. 911; Art. No. A25; 10.1017/jfm.2020.1003
- Leonard, Anthony (2019) Dedication
of Proceedings to Professor Anatol Roshko 1923-2017; Journal of
Fluids and Structures; Vol. 89; 1-12; 10.1016/j.jfluidstructs.2019.05.002
- Leonard, A. (2016) Large-Eddy
Simulation of the Navier-Stokes Equations: Deconvolution, Particle
Methods, and Super-Resolution; ISBN 978-981-4635-16-5; Advances in
Computation, Modeling and Control of Transitional and Turbulent Flows;
World Scientific: Singapore; 1-16; 10.1142/9789814635165_0001
- Hejlesen, Mads Mølholm; Koumoutsakos, Petros; et el. (2015) Iterative
Brinkman penalization for remeshed vortex methods; Journal of
Computational Physics; Vol. 280; 547-562; 10.1016/j.jcp.2014.09.029
- Dimotakis, Paul E. and Leonard, Anthony (2014) Chemical
Reactions in Turbulent Mixing Flows; 10.7907/z36m-ct61
- Candler, G. V.; Dimotakis, P. E.; et el. (2014) Interaction
of Chemistry, Turbulence, and Shock Waves in Hypervelocity Flow; 10.7907/wbg4-ra84
- Lappas, Tasso; Leonard, Anthony; et el. (2014) Riemann
Invariant Manifolds for the Multidimensional Euler Equations Part I:
Theoretical Development Part II: A Multidimensional Godunov Scheme and
Applications; 10.7907/yghw-7356
- Papalexandris, Miltiadis V.; Leonard, Anthony; et el. (2014) Unsplit
Schemes for Hyperbolic Conservation Laws with Source Terms in One Space
Dimension; 10.7907/a52f-t488
- Dimotakis, Paul E. and Leonard, Anthony (2014) Chemical
Reactions in Turbulent Mixing Flows; 10.7907/akw6-xc58
- Dimotakis, P. E.; Broadwell, J. E.; et el. (2014) Chemical
Reactions in Turbulent Mixing Flows
- Dimotakis, Paul E.; Broadwell, James E.; et el. (2014) Chemical
Reactions in Turbulent Mixing Flows
- Dimotakis, Paul E.; Broadwell, James E.; et el. (2014) Chemical
Reactions in Turbulent Mixing Flows
- Tchieu, Andrew A. and Leonard, Anthony (2011) A
discrete-vortex model for the arbitrary motion of a thin airfoil with
fluidic control; Journal of Fluids and Structures; Vol. 27; No. 5-6;
680-693; 10.1016/j.jfluidstructs.2011.02.008
- van Rees, Wim M.; Leonard, Anthony; et el. (2011) A
comparison of vortex and pseudo-spectral methods for the simulation of
periodic vortical flows at high Reynolds numbers; Journal of
Computational Physics; Vol. 230; No. 8; 2794-2805; 10.1016/j.jcp.2010.11.031
- Tchieu, A. A.; Crowdy, D.; et el. (2010) Fluid-structure
interaction of two bodies in an inviscid fluid; Physics of Fluids;
Vol. 22; No. 10; Art. No. 107101; 10.1063/1.3485063
- Leonard, Anthony (2010) On
the motion of thin vortex tubes; Theoretical and Computational Fluid
Dynamics; Vol. 24; No. 1-4; 369-375; 10.1007/s00162-009-0126-5
- Muse, Jonathan A.; Tchieu, Andrew A.; et el. (2009) Vortex
Model Based Adaptive Flight Control Using Synthetic Jets; ISBN
9781600869785; AIAA Guidance, Navigation, and Control Conference 2009;
American Institute of Aeronautics and Astronautics: Reston, VA; Art.
No. 2009-5761; 10.2514/6.2009-5761
- Leonard, A. (2009) The
universal structure of high-curvature regions of material lines in
chaotic flows; Journal of Fluid Mechanics; Vol. 622; 167-175; 10.1017/S0022112008005132
- Shariff, Karim; Leonard, Anthony; et el. (2008) A contour
dynamics algorithm for axisymmetric flow; Journal of Computational
Physics; Vol. 227; No. 21; 9044-9062; 10.1016/j.jcp.2007.10.005
- Tchieu, Andrew A.; Kutay, Ali T.; et el. (2008) Validation
of A Low-Order Model for Closed Loop Flow Control Enabled Flight;
ISBN 978-1-60086-994-5; 4th Flow Control Conference; American Institute
of Aeronautics and Astronautics: Reston, VA; Art. No. 2008-3863; 10.2514/6.2008-3863
- Bergdorf, Michael; Koumoutsakos, Petros; et el. (2007) Direct
numerical simulations of vortex rings at ReΓ = 7500; Journal of
Fluid Mechanics; Vol. 581; 495-505; 10.1017/S0022112007006192
- Barba, L. A. and Leonard, A. (2007) Emergence
and evolution of tripole vortices from net-circulation initial
conditions; Physics of Fluids; Vol. 19; No. 1; Art. No. 017101; 10.1063/1.2409734
- Klamo, J. T.; Leonard, A.; et el. (2006) The
effects of damping on the amplitude and frequency response of a freely
vibrating cylinder in cross-flow; Journal of Fluids and Structures;
Vol. 22; No. 6-7; 845-856; 10.1016/j.jfluidstructs.2006.04.009
- Shariff, Karim; Leonard, Anthony; et el. (2006) Dynamical
systems analysis of fluid transport in time-periodic vortex ring
flows; Physics of Fluids; Vol. 18; No. 4; Art. No. 047104; 10.1063/1.2189867
- Leonard, A. (2005) Interaction
of localised packets of vorticity with turbulence; ISBN
978-1-4020-0980-8; Tubes, Sheets and Singularities in Fluid Dynamics;
Kluwer Academic Publishers: Dordrecht; 201-210; 10.1007/0-306-48420-x_27
- Klamo, J. T.; Leonard, A.; et el. (2005) On
the maximum amplitude for a freely vibrating cylinder in cross-flow;
Journal of Fluids and Structures; Vol. 21; No. 4; 429-434; 10.1016/j.jfluidstructs.2005.07.010
- Barba, L. A.; Leonard, A.; et el. (2005) Vortex
method with meshless spatial adaption for accurate simulation of
viscous, unsteady vortical flows; International Journal for
Numerical Methods in Fluids; Vol. 47; No. 8-9; 841-848; 10.1002/fld.842
- Barba, L. A.; Leonard, A.; et el. (2005) Advances
in viscous vortex methods - meshless spatial adaption based on radial
basis function interpolation; International Journal for Numerical
Methods in Fluids; Vol. 47; No. 5; 387-421; 10.1002/fld.811
- Daeninck, Goéric; Chatelain, Philippe; et el. (2004) Simulation
of vehicle aerodynamics using a vortex element method; ISBN
978-3-642-53586-4; The Aerodynamics of Heavy Vehicles: Trucks, Buses,
and Trains; Springer: Berlin; 353-366; 10.1007/978-3-540-44419-0_31
- Kivotides, Demosthenes and Leonard, Anthony (2003) Quantized
turbulence physics; Physical Review Letters; Vol. 90; No. 23; Art.
No. 234503; 10.1103/PhysRevLett.90.234503
- Chatelain, Philippe; Kivotides, Demosthenes; et el. (2003) Reconnection
of Colliding Vortex Rings; Physical Review Letters; Vol. 90; No. 5;
Art. No. 054501; 10.1103/PhysRevLett.90.054501
- Leonard, Anthony (2002) The
kinematics and dynamics of vorticity in the inertial range: a possible
scenario; Journal of Turbulence; Vol. 3; Art. No. 060; 10.1088/1468-5248/3/1/060
- Chatelain, Philippe and Leonard, Anthony (2002) Face-centred
cubic lattices and particle redistribution in vortex methods;
Journal of Turbulence; Vol. 2002; No. 3; Art. No. 046
- Eldredge, Jeff D.; Colonius, Tim; et el. (2002) A dilating
vortex particle method for compressible flow; Journal of Turbulence;
Vol. 2002; No. 3; Art. No. 036
- Eldredge, Jeff D.; Leonard, Anthony; et el. (2002) A
General Deterministic Treatment of Derivatives in Particle Methods;
Journal of Computational Physics; Vol. 180; No. 2; 686-709; 10.1006/jcph.2002.7112
- Eldredge, Jeff D.; Colonius, Tim; et el. (2002) A
Vortex Particle Method for Two-Dimensional Compressible Flow;
Journal of Computational Physics; Vol. 179; No. 2; 371-399; 10.1006/jcph.2002.7060
- Papalexandris, M. V.; Leonard, A.; et el. (2002) Unsplit
algorithms for multidimensional systems of hyperbolic conservation laws
with source terms; Computers and Mathematics with Applications; Vol.
44; No. 1-2; 25-49; 10.1016/S0898-1221(02)00128-1
- Eldredge, Jeff; Colonius, Tim; et el. (2001) A
Vortex Particle Method for Compressible Flows; 10.2514/6.2001-2641
- Leonard, A. and Roshko, A. (2001) Aspects
of flow-induced vibration; Journal of Fluids and Structures; Vol.
15; No. 3-4; 415-425; 10.1006/jfls.2000.0360
- Shiels, D. and Leonard, A. (2001) Investigation
of a drag reduction on a circular cylinder in rotary oscillation;
Journal of Fluid Mechanics; Vol. 431; 297-322; 10.1017/S002211200000313X
- Shiels, D.; Leonard, A.; et el. (2001) Flow-induced
vibration of a circular cylinder at limiting structural parameters;
Journal of Fluids and Structures; Vol. 15; No. 1; 3-21; 10.1006/jfls.2000.0330
- Gharib, M. R.; Leonard, A.; et el. (2000) A
fluid force deduction technique for vibrating structures in
cross-flow; ISBN 90-5809-129-5; Flow-induced vibration; Balkema:
Rotterdam; 85-89
- Ghosh, S; Leonard, A.; et el. (1998) Diffusion of
a passive scalar from a no-slip boundary into a two-dimensional chaotic
advection field; Journal of Fluid Mechanics; Vol. 372; 119-163; 10.1017/S0022112098002249
- Govindarajan, Rama; Leonard, A.; et el. (1998) Mixing
and chaotic fluid particle trajectories in the flow around two
leap-frogging vortex rings; ISBN 978-3-540-65153-6; Sixteenth
International Conference on Numerical Methods in Fluid Dynamics;
Springer; 482-487; 10.1007/bfb0106626
- Papalexandris, Miltiadis V.; Leonard, Anthony; et el. (1997) Unsplit
Schemes for Hyperbolic Conservation Laws with Source Terms in One Space
Dimension; Journal of Computational Physics; Vol. 134; No. 1; 31-61;
10.1006/jcph.1997.5692
- Min, I. A.; Mezić, I.; et el. (1996) Lévy stable
distributions for velocity and velocity difference in systems of vortex
elements; Physics of Fluids; Vol. 8; No. 5; 1169-1180; 10.1063/1.868908
- Huang, Mei-Jiau and Leonard, Anthony (1995) Velocity
autocorrelations of decaying isotropic homogeneous turbulence;
Physics of Fluids; Vol. 7; No. 10; 2455-2464; 10.1063/1.868780
- Koumoutsakos, Petros and Leonard, A. (1995) High-resolution
simulations of the flow around an impulsively started cylinder using
vortex methods; Journal of Fluid Mechanics; Vol. 296; 1-38; 10.1017/S0022112095002059
- Huang, Mei-Jiau and Leonard, Anthony (1994) Power-law
decay of homogeneous turbulence at low Reynolds numbers; Physics of
Fluids; Vol. 6; No. 11; 3765-3775; 10.1063/1.868366
- Cortelezzi, L.; Leonard, A.; et el. (1994) An example
of active circulation control of the unsteady separated flow past a
semi-infinite plate; Journal of Fluid Mechanics; Vol. 260; 127-154;
10.1017/S0022112094003460
- Leonard, A. (1994) Nonlocal
theory of area-varying waves on axisymmetric vortex tubes; Physics
of Fluids; Vol. 6; No. 2; 765-777; 10.1063/1.868315
- Lappas, Tasso; Leonard, Anthony; et el. (1993) An
Adaptive Lagrangian Method for Computing 1D Reacting and Non-reacting
Flows; Journal of Computational Physics; Vol. 104; No. 2; 361-376;
10.1006/jcph.1993.1037
- Beigie, Darin; Leonard, Anthony; et el. (1993) Statistical
relaxation under nonturbulent chaotic flows: Non-Gaussian high-stretch
tails of finite-time Lyapunov exponent distributions; Physical
Review Letters; Vol. 70; No. 3; 275-278; 10.1103/PhysRevLett.70.275
- Shariff, Karim and Leonard, Anthony (1992) Vortex
Rings; Annual Review of Fluid Mechanics; Vol. 24; 235-279; 10.1146/annurev.fl.24.010192.001315
- Beigie, Darren; Leonard, Anthony; et el. (1991) Chaotic
transport in the homoclinic and heteroclinic tangle regions of
quasiperiodically forced two-dimensional dynamical systems;
Nonlinearity; Vol. 4; No. 3; 775-819; 10.1088/0951-7715/4/3/008
- Beigle, Darin; Leonard, Anthony; et el. (1991) A global
study of enhanced stretching and diffusion in chaotic tangles;
Physics of Fluids A; Vol. 3; No. 5; 1039-1050; 10.1063/1.858084
- Rom-Kedar, V.; Leonard, A.; et el. (1990) An
analytical study of transport, mixing and chaos in an unsteady vortical
flow; Journal of Fluid Mechanics; Vol. 214; 347-394; 10.1017/S0022112090000167
- Aubry, Nadine; Perry, Tony; et el. (1990) Discussion
on the utility of dynamical systems approach; ISBN
978-3-540-52535-6; Whither Turbulence? Turbulence at the Crossroads :
Proceedings of a Workshop Held at Cornell University, Ithaca, NY, March
22–24, 1989; Springer-Verlag: Berlin; 292-305; 10.1007/3-540-52535-1_50
- Shariff, Karim; Leonard, Anthony; et el. (1989) Dynamics
of a class of vortex rings
- Winckelmans, G. and Leonard, A. (1988) Weak
solutions of the three-dimensional vorticity equation with vortex
singularities; Physics of Fluids; Vol. 31; No. 7; 1838-1839; 10.1063/1.866680
- Leonard, A. and Reynolds, W. C. (1988) Turbulence
research by numerical simulation; ISBN 978-3-540-50644-7;
Perspectives in Fluid Mechanics; Springer: Berlin; 113-142; 10.1007/BFb0021121
- Moin, Parviz; Leonard, Anthony; et el. (1986) Evolution of
a curved vortex filament into a vortex ring; Physics of Fluids; Vol.
29; No. 4; 955-963; 10.1063/1.865690
- Leonard, A. (1985) Computing
Three-Dimensional Incompressible Flows with Vortex Elements; Annual
Review of Fluid Mechanics; Vol. 17; 523-559; 10.1146/annurev.fl.17.010185.002515
- Feinstein, David L.; Butler, Frank E.; et el. (1972) Radiative
transport analysis of electromagnetic propagation in isotropic plasma
turbulence; Physics of Fluids; Vol. 15; No. 9; 1641-1651; 10.1063/1.1694142
- Cheng, Ping and Leonard, A. (1971) Application
of singular eigenfunction expansions to the propagation of periodic
disturbances in a radiating grey gas; Physics of Fluids; Vol. 14;
No. 5; 906-919; 10.1063/1.1693547
- Leonard, A. (1971) Two-Dimensional
Quarter Space Problems in One-Speed Transport Theory; Journal of
Mathematical Physics; Vol. 12; No. 5; 754-766; 10.1063/1.1665644
- Cheng, Ping and Leonard, A. (1971) An exact
solution of linearized flow of an emitting, absorbing and scattering
grey gas; Journal of Fluid Mechanics; Vol. 45; No. 4; 673-699; 10.1017/S0022112071000272
- Garrettson, G. and Leonard, A. (1970) Green’s
functions for multidimensional neutron transport in a slab; Journal
of Mathematical Physics; Vol. 11; No. 2; 725-740; 10.1063/1.1665188
- Leonard, A. (1968) Exact
inversion of the fugacity-density relation for ideal quantum gases;
Physical Review; Vol. 175; No. 1; 221-224; 10.1103/PhysRev.175.221
- Leonard, A. and Mullikin, T. W. (1964) Spectral
analysis of the anisotropic neutron transport kernel in slab geometry
with applications; Journal of Mathematical Physics; Vol. 5; No. 3;
399-411; 10.1063/1.1704132
- Ferziger, J. H. and Leonard, A. (1962) Multiple
scattering of neutrons in the static approximation; Physical Review;
Vol. 128; No. 5; 2188-2190; 10.1103/PhysRev.128.2188