Ernie Tuck's Home Page
Prof Ernie Tuck died on 11 March 2009.
This web site is now maintained by
Dr Yvonne Stokes.
Photographs
Research Interests
- Hydrodynamics: free surfaces, ship wave resistance and squat, jets
and cavities.
This GIF of computed ship waves is from reference #156 below:
Ship-wave contour plot.
For some other recent ship-wave computations, see:
Ship Wake Images.
In particular,
Tetrahull waves
is a GIF-based cartoon of computed ship wave patterns made by a 4-hulled
vessel for increasing ship speed; notice the disappearance of waves at an
intermediate speed.
For further info on ship waves and resistance,
Report T8701
entitled "Wave resistance of thin
ships and catamarans" was first written for internal purposes in 1987 and has
never been otherwise published. This .pdf (580k) version of October 1997 is
identical to the 1987 report.
- Aerodynamics: wing and airfoil theory, separation and stall, ground
effect.
- Industrial fluid mechanics: coating problems, contact
problems,
viscous drops.
The article
Honey on toast
is a transcript of a general-audience talk related to recent research
(as in #152, #167, #177)
below, on very
viscous fluid drops.
- Game theory: Backgammon, blackjack. Mostly unpublished notes, but
see papers #62, #65, #92 below.
- Riemann's hypothesis:
Papers #172, #174, #175 and note #182 are on peripheral issues; notes #180, #181
review the hypothesis itself.
See also (especially in connection with #181) a recent paper by M.V.
Berry
and P. Shukla, "Tuck's incompressibility function:
statistics for zeta zeros and
eigenvalues", Journal of Physics A: Mathematical and Theoretical, 41
(2008) 385202.
Publications
- TUCK, E.O. "Stability of following in two dimensions",
Operations Research, 9 (1961) 479-495.
- TUCK, E.O. "The steady motion of a slender ship",
Ph.D. Thesis, University of Cambridge, 1963.
- TUCK, E.O. "On Vossers' integral", International Seminar
on Theoretical Wave Resistance, Ann Arbor, Aug. 1963. Proceedings,
University of Michigan, pp. 699-712.
- TUCK, E.O. "Some methods for flows past blunt slender
bodies", Journal of Fluid Mechanics, 18 (1964) 619-635.
- TUCK, E.O. "A systematic asymptotic expansion procedure for
slender ships", Journal of Ship Research, 8 (1964) 15-23.
- TUCK, E.O. "On line distribution of Kelvin sources",
Journal of Ship Research, 8 (1964) 45-52.
- NEWMAN, J.N. and TUCK, E.O. "Current progress in the slender
body theory for ship motions", 5th Symposium on Naval
Hydrodynamics, Bergen, Sept. 1964. Proceedings, Office of Naval
Research, Washington D.C., pp. 129-165.
- TUCK, E.O. "The effect of non-linearity at the free surface on
flow past a submerged cylinder", Journal of Fluid Mechanics, 22
(1965) 401-414.
- TUCK, E.O. "Some theoretical results on diffraction of short
waves by thin obstacles", Journal of the Acoustics Society of
America, 37 (1965) 1177.
- TUCK, E.O. "Shallow-water flows past slender bodies",
Journal of Fluid Mechanics, 26 (1966) 81-95.
- TUCK, E.O. "On the effect of short-crestedness on ship
motions", Journal of Ship Research, 10 (1966) 192-200.
- TUCK, E.O. "A simple `Filon-trapezoidal' rule",
Mathematics of Computation, 21 (1967) 239-241.
- TUCK, E.O. "Sinkage and trim in shallow water of finite
width", Schiffstechnik, 14 (1967) 92-94.
- TUCK, E.O. "A note on a swimming problem", Journal of
Fluid Mechanics, 31 (1968) 305-308.
- TUCK, E.O. "Toward the calculation and minimization of Stokes
drag on bodies of arbitrary shape". 3rd Australasian Conference
on Hydraulics and Fluid Mechanics, Sydney, Nov. 1968. Proceedings,
Institute of Engineers, Australia (1970), pp. 29-32.
- TUCK, E.O. and VON KERCZEK, C. "Streamlines and pressure
distribution on arbitrary ship hulls at zero Froude number",
Journal of Ship Research, 12 (1968) 231-236.
- VON KERCZEK, C. and TUCK, E.O. "The representation of ship
hulls by conformal mapping functions", Journal of Ship Research,
13 (1969) 284-298.
- TUCK, E.O. "Calculation of unsteady flows due to small
motions of cylinders in a viscous fluid". Journal of Engineering
Mathematics, 3 (1969) 29-44.
- TUCK, E.O. "Unsteady flow of a viscous fluid from a source in
a wall", Journal of Fluid Mechanics, 41 (1970) 641-653.
- TUCK, E.O. and HWANG, L.S. "On the oscillations of harbours
of arbitrary shape", Journal of Fluid Mechanics, 42 (1970)
447-464.
- TUCK, E.O. and TAYLOR, P.J. "Shallow water problems in ship
hydrodynamics", 8th Symposium on Naval Hydrodynamics, Pasadena,
Aug. 1970. Proceedings, Office of Naval Research, Washington D.C., pp.
627-659.
- TUCK, E.O. "Ship motions in shallow water", Journal of
Ship Research, 14 (1970) 317-328.
- SALVESEN, N., TUCK, E.O. and FALTINSEN, O. "Ship motions and
sea loads", Transactions, Society of Naval Architects and Marine
Engineers, New York, 78 (1970) 250-287.
- TUCK, E.O. "The estimation of squat", Navigation, 3
(1970) 321-324.
- TUCK, E.O., COLLINS, J.I. and WELLS, W. "On ship wave
patterns and their spectra", Journal of Ship Research, 15 (1971)
11-21.
- TUCK, E.O. "Transmission of water waves through small
apertures", Journal of Fluid Mechanics, 49 (1971) 65-74.
- TUCK, E.O. "Irrotational flow past bodies close to a plane
surface", Journal of Fluid Mechanics, 50 (1971) 481-491.
- BECK, R.F. and TUCK, E.O. "Heave and pitch of ships in
shallow water", 4th Australasian Conference on Hydraulics and
Fluid Mechanics, Melbourne, Nov. 1971. Proceedings, Monash University,
pp. 272-279.
- TUCK, E.O. and HWANG, L.S. "Long wave generation on a sloping
beach", Journal of Fluid Mechanics, 51 (1972) 449-461.
- HELFGOTT, A., TUCK, E.O., CRAIG, R.J. and HETZEL, P.S.
"A simple mathematical model of muscle-induced ejection
flows", Mathematical Biosciences, 13 (1972) 335-359.
- TUCK, E.O. and HASELGROVE, M. "An extension of
two-dimensional sail theory", Journal of Ship Research, 16
(1972) 148-152.
- GUINEY, D.C., NOYE, B.J. and TUCK, E.O. "Transmission of
water waves through small apertures", Journal of Fluid
Mechanics, 55 (1972) 149-161.
- TUCK, E.O. "A theory for the design of thin heat flux
meters", Journal of Engineering Mathematics, 6 (1972) 355-368.
- BECK, R.F. and TUCK, E.O. "Computation of shallow water ship
motions", 9th Symposium on Naval Hydrodynamics, Paris, Aug. 1972.
Proceedings, Office of Naval Research, Washington, D.C., pp. 1543-1587.
- TUCK, E.O. "One-dimensional flows as slender-body problems,
with applications to ships moving in channels", Workshop on
Slender Body Theory, University of Michigan, June 1973. Proceedings,
University of Michigan Report N.A.M.E. 164 pp. 27-35, 1974.
- TUCK, E.O. "Unstable squat from lateral motion of ships in
shallow water", Journal of Ship Research, 18 (1974) 50-55.
- TUCK, E.O. "The effect of a surface layer of viscous fluid on
the wave resistance of a thin ship", Journal of Ship Research,
18 (1974) 265-271.
- TUCK, E.O. "Paddle-type wavemakers in shallow water",
International Symposium on the Dynamics of Marine Vehicles and
Structures in Waves, University College, London, April 1974.
Proceedings, Institution of Mechanical Engineers, pp. 146-150.
- TUCK, E.O. and NEWMAN, J.N. "Hydrodynamic interations between
ships", 10th Symposium on Naval Hydrodynamics, Cambridge, Mass.
1974. Proceedings, Office of Naval Research, Washington, D.C., pp.
35-70.
- TUCK, E.O. "The effect of span-wise oscillations on the
thrust-generating performance of a flapping thin wing", Symposium
on Swimming and Flying in Nature, Calif. Inst. of Technology,
Pasadena, Calif., July 1974. Proceedings, Plenum: New York (1975),
Vol. pp. 953-974.
- TUCK, E.O. "Low-aspect-ratio flat-ship theory", J.
Hydronautics, 9 (1975) 3-12.
- BECK, R.F., NEWMAN, J.N. and TUCK, E.O. "Hydrodynamic forces
on ships in dredged channels", Journal of Ship Research, 19
(1975) 166-171.
- TUCK, E.O. "Matching problems involving flow through small
holes", Advances in Applied Mechanics, 15 (1975) 89-158.
- TUCK, E.O. "On air flow over free surfaces of stationary
water", Journal of the Australian Mathematical Society, Series
B, 19 (1975) 66-80.
- HASELGROVE, M.K. and TUCK, E.O. "Stability properties of the
two-dimensional sail model", New England Sailing Yacht
Symposium, New London, Conn., Jan. 1976. Proceedings, Society of Naval
Architects and Marine Engineers, New York, pp. 8.1-8.11.
- TUCK, E.O. "An approximation to Michell's integral",
International Seminar on Wave Resistance, Tokyo-Kansai, February
1976. Proceedings, Society of Naval Architects of Japan, pp. 1-6.
- TUCK, E.O. "The shape of free jets of water under
gravity", Journal of Fluid Mechanics, 76 (1975) 625-640.
- TUCK, E.O. "Some classical water-wave problems in varying
depth", I.U.T.A.M. Symposium on Waves in Water of Varying Depth,
Canberra, July 1976. Proceedings (ed. D.G. Provis \& J.R.M. Radok),
Australian Academy of Sciences \& Springer-Verlag, pp. 9-20.
- VANDEN-BROECK, J.-M. and TUCK, E.O. "Computation of near-bow
or stern flows, using series expansion in the Froude number",
2nd International Conference on Numerical Ship Hydrodynamics,
Berkeley, Sept. 1977. Proceedings, University of California, Berkeley,
pp. 371-381.
- MACASKILL, C. and TUCK, E.O.
"Evaluation of the acoustic impedance of a screen",
Journal of the Australian Mathematical Society, Series B, 20 (1977)
46-61.
- TUCK, E.O. "Doubling strategies for two-move backgammon",
University of Adelaide, Applied Mathematics Report T7701, June 1977.
- TUCK, E.O. "Hydrodynamic problems of ships in restricted
waters", Annual Review of Fluid Mechanics, 10 (1978), 33-44.
- VANDEN-BROECK, J.-M., SCHWARTZ, L.W. and TUCK, E.O.
"Divergent low-Froude-number series expansion of non-linear
free-surface flow problems", Proceedings of the Royal Society of
London, Series A, 361 (1978) 207-224.
- TUCK, E.O. "Unsteady small-gap ground effects",
California Institute of Technology, Engineering Science Report 78-1,
1978.
- TUCK, E.O. "Numerical quadratures of trapezoidal type for
inverse square root singularities, with applications to Abel integral
equations", University of Adelaide, Applied Mathematics Report
T7801, 1978.
- TUCK, E.O. "A note on yawed slender wings", Journal of
Engineering Mathematics, 13 (1979) 47-62.
- KING, G. and TUCK, E.O. "Lateral forces on ships in steady
motion parallel to banks or beaches", Applied Ocean Research,
1 (1979) 89-98.
- TUCK, E.O. "Application and solution of Cauchy-singular
integral equations", in ‘The application and numerical solution
of integral equations’, ed. R.S. Anderssen et al, Sijthoff and
Noordhoff, The Netherlands, 1980, pp. 21-49.
- MEI, C.C. and TUCK, E.O. "Forward scattering by long thin
bodies", Society for Industrial and Applied Mathematics, Journal
of Applied Mathematics, 39 (1980) 178-191.
- TUCK, E.O. "Models for predicting tsunami
propagation", N.S.F. Workshop on Tsunamis, California, May 1979.
Proceedings, Tetra Tech Inc., pp.43-109.
- TUCK, E.O. "A non-linear unsteady one-dimensional theory
for wings in extreme ground effect", Journal of Fluid Mechanics,
98 (1980) 33-47.
- TUCK, E.O. "Doubling strategies for backgammon-like
games", Journal of the Australian Mathematical Society, Series B,
21 (1980) 440-451.
- TUCK, E.O. "The effect of a submerged barrier on the natural
frequencies and radiation damping of a shallow basin connected to open
water", Journal of the Australian Mathematical Society, Series
B, 22 (1980) 104-128.
- TUCK, E.O., ALLISON, H., FIELD, S. and SMITH, J. "Effects of
a submerged reef chain on sea-level oscillations in Western
Australia", Australian Journal of Marine and Freshwater
Research, 31 (1980) 719-727.
- TUCK, E.O. "Simulation of bearing off and doubling in
backgammon", The Mathematical Scientist, 6 (1981) 43-61.
- TUCK, E.O. "Mathematical aspects of iceberg towing",
Iceberg Utilization Workshop, Australian Academy of Science,
Melbourne, February 1980.
- TUCK, E.O. "Steady flow and static stability of airfoils in
extreme ground effect", Journal of Engineering Mathematics,
15 (1981) 89-102.
- TUCK, E.O. "Linearized planing-surface theory with surface
tension. Part I : Smooth detachment", Journal of the Australian
Mathematical Society, Series B, 22 (1982) 241-258.
- TUCK, E.O. "Linearized planing-surface theory with surface
tension. Part II : Detachment with discontinuous slope", Journal
of the Australian Mathematical Society, Series B, 23 (1982) 259-277.
- BORGAS, M.S. and TUCK, E.O. "Thin slender water jets",
Journal of Fluid Mechanics, 118 (1982) 379-391.
- TUCK, E.O. "An inviscid theory for sliding flexible
sheets", Journal of the Australian Mathematical Society, Series
B, 23 (1982) 398-410.
- TUCK, E.O. "An analysis of spectator support for a local
football league", The Mathematical Scientist, 7 (1982) 49-60.
- BIGG, G.R. and TUCK, E.O. "Two-dimensional resonators with
small openings", Journal of the Australian Mathematical Society,
Series B, 24 (1982) 2-27.
- TUCK, E.O. "Two-dimensional leaflet valves with maximum
reverse-flow moment", Journal of Engineering Mathematics, 16
(1982) 47-57.
- TUCK, E.O., HELFGOTT, A. and YEUNG, R.W. "Cambered valve
leaflets that maximise initial rate of closure", Journal of
Fluid Mechanics, 121 (1982) 517-529.
- TUCK, E.O. "Annular water jets", Institution for
Mathematics and its Applications, Journal of Applied Mathematics,
29 (1982) 45-58.
- TUCK, E.O. and MEI, C.C. "Contact of one or more slender
bodies with an elastic half-space", International Journal of
Solids and Structures, 19 (1983) 1-23.
- TUCK, E.O. "Stability of bodies resting on elastic
foundations", University of Adelaide, Applied Mathematics Report
T8201, January 1982.
- TUCK, E.O., BENTWICH, M. and VAN DER HOEK, J. "The
free-boundary problem for gravity-driven uni-directional viscous
flows", Institution for Mathematics and its Applications,
Journal of Applied Mathematics, 30 (1983) 191-208.
- TUCK, E.O. and BENTWICH, M. "Sliding sheets : lubrication
with comparable viscous and inertia forces", Journal of Fluid
Mechanics, 135 (1983) 51-69.
- TUCK, E.O. "Nonlinear extreme ground effect on thin wings of
arbitrary aspect ratio", Journal of Fluid Mechanics, 136 (1983)
73-84.
- TUCK, E.O. "Continuous coating with gravity and jet
stripping", Physics of Fluids, 26 (1983) 2352-2358.
- TUCK, E.O. and VANDEN-BROECK, J.-M. "A cusp-like free-surface
flow due to a submerged source or sink", Journal of the
Australian Mathematical Society, Series B, 25 (1984) 443-450.
- TUCK, E.O. "Small-gap flows", Report NAOE 84-1,
University of California at Berkeley, April 1984.
- TUCK, E.O. and VANDEN-BROECK, J.-M. "Splashless bow flows in
two dimensions?", 15th Symposium on Naval Hydrodynamics,
Hamburg, September 1984. Proceedings, National Academy Press,
Washington D.C., (1985),pp. 293-301.
- TUCK, E.O. and VANDEN-BROECK, J.-M. "Influence of surface
tension on jet-stripped continuous coating of sheet materials",
American Institute of Chemical Engineers Journal, 30 (1984) 808-811.
- TUCK, E.O. "A simple one-dimensional theory for air-supported
vehicles over water", Journal of Ship Research, 28 (1984)
290-292.
- VANDEN-BROECK, J.-M. and TUCK, E.O. "Wave-less free-surface
pressure distributions", Journal of Ship Research, 29 (1985)
151-158.
- GOH, K.M.H. and TUCK, E.O. "Thick waterfalls from horizontal
slots", Journal of Engineering Mathematics, 19 (1985) 341-349.
- MADURASINGHE, M.A.D. and TUCK, E.O. "Ship bows with
continuous and splashless flow attachment", Journal of the
Australian Mathematical Society, Series B, 27 (1986) 442-452.
- TUCK, E.O. and GRUNDY I.H. "Waves generated by air flow from
a stationary hovercraft", 1st International Workshop on Water
Waves and Floating Bodies, M.I.T., February 1986. Proceedings, ed.
S.R.Breit, pp. 169-173.
- TUCK, E.O. "Blackjack -- is there anything more to be
said?", 2nd National Conference, National Association for
Gambling Studies (Australia), University of Sydney, August 1986.
Proceedings, ed. M.Walker, (1987) pp. 169-176.
- TUCK, E.O. "Efflux from a slit in a vertical wall",
Journal of Fluid Mechanics, 176 (1987) 253-264.
- GRUNDY, I.H. and TUCK, E.O. "Waves on a static water surface
beneath a layer of moving air", Journal of Fluid Mechanics,
178 (1987) 441-457.
- TUCK, E.O. "Thin airfoils with small trailing-edge flaps at
arbitrary angles", Journal of the Australian Mathematical
Society, Series B, 29 (1987) 144-158.
- TUCK, E.O. "A strip theory for wave resistance", 3rd
International Workshop on Water Waves and Floating Bodies, Woods Hole,
April 1988. Proceedings, ed. F.T. Korsmeyer, M.I.T., pp. 169-174.
- MORIARTY, J.A. and TUCK, E.O. "Thin aerofoils with
high-incidence flaps or blunt trailing edges", Aeronautical
Journal, 93 (1989) 93-99.
- TUCK, E.O. "A submerged body with zero wave resistance",
Journal of Ship Research, 33 (1989) 81-83.
- TUCK, E.O. "The wave resistance formula of J.H. Michell (1898)
and its significance to recent research in ship hydrodynamics",
Journal of the Australian Mathematical Society, Series B 30 (1989)
365-377.
- TUCK, E.O. and DIXON, A. "Surf skimmer planing
hydrodynamics", Journal of Fluid Mechanics, 205 (1989) 581-592.
- KORSMEYER, F.T. and TUCK, E.O."Marching toward a slender
ship wave resistance theory", 4th International Workshop on
Water Waves and Floating Bodies, "Oystese, Norway, May 1989.
Proceedings, ed. J. Grue, University of Oslo, pp. 117-121.
- TUCK, E.O. and SCHWARTZ, L.W. "A numerical and asymptotic
study of some third-order ordinary differential equations relevant to
draining and coating flows", SIAM Review, 32 (1990) 453-469.
- TUCK, E.O. "Planing surfaces", Chapter 7, pp. 363-372,
of "Numerical Solution of Integral Equations", edited by M.
Golberg, Plenum Press, New York, 1990.
- TUCK, E.O. "A criterion for leading-edge separation",
Journal of Fluid Mechanics, 222 (1991) 33-37.
- MORIARTY, J.A., SCHWARTZ, L.W. and TUCK, E.O., "Unsteady
spreading of thin liquid films with small surface tension",
Physics of Fluids (A), 3 (1991) 733-742.
- TUCK, E.O. "Analytic aspects of slender body theory",
The Fritz Ursell Retirement Meeting, Manchester, March 1990. Chapter
10, pp. 185-201, of "Wave Asymptotics", ed. G.R. Wickham and
P.A. Martin, Cambridge University Press, 1992.
- TUCK, E.O. and SCHWARTZ, L.W. "Thin static drops with a
free attachment boundary", Journal of Fluid Mechanics, 223
(1991) 313-324.
- TUCK, E.O. and DE MESTRE N.J. "Computer Ecology and
Chaos", 127 pp., Longman-Cheshire, 1991.
- TUCK, E.O. "Can shallow-water theory describe
breaking?", IUTAM Symp. on Breaking Waves, University of N.S.W.,
July 1991. Proceedings, ed. M.L. Banner and R.H.J. Grimshaw,
Springer-Verlag, 1992, pp 341-346.
- DIAS, F. and TUCK, E.O. "Weir flows and waterfalls",
Journal of Fluid Mechanics, 230 (1991) 525-539.
- TUCK, E.O. "Ship-hydrodynamic free-surface problems without
waves", Journal of Ship Research, 35 (1991) 277-287. [The
Thirteenth Georg Weinblum Memorial Lecture, Versuchsanstalt fur
Wasserbau und Schiffbau, Berlin, 21 November 1990, and U.S. Academy of
Sciences, Washington D.C., 10 April 1991.]
- TUCK, E.O. "Waveless solutions of wave equations", 6th
International Workshop on Water Waves and Floating Bodies, Wood's
Hole, April 1991. Proc., ed. H. Bingham and C.-H. Lee, Report OE 91-2,
M.I.T., Cambridge, Mass., pp. 235-239.
- TUCK, E.O. "Lifting surfaces with endplates", 11th
Australasian Fluid Mechanics Conference, Hobart, December 1992. Proc.
ed. M.R. Davis and G.J. Walker, University of Tasmania, pp. 219-222.
- TUCK, E.O. and TULIN, M.P. "Submerged bodies that do not
generate waves", 7th International Workshop on Water Waves and
Floating Bodies, Val de Reuil, France, May 1992. Proc. ed. R. Cointe,
Bassin d'Essais des Carenes, pp. 275-279.
- DIAS, F. and TUCK, E.O. "A steady breaking wave",
Physics of Fluids (A), 5 (1993) 277-279.
- TUCK, E.O. "Some accurate solutions of the lifting surface
integral equation", Journal of the Australian Mathematical
Society, Series B, 35 (1993) 127-144.
- KING, A.C. and TUCK, E.O. "Thin liquid layers supported by
steady air-flow surface traction", Journal of Fluid Mechanics,
251 (1993) 709-718.
- KING, A.C., TUCK, E.O. and VANDEN-BROECK, J.-M., "Air-blown
waves on thin viscous sheets", Physics of Fluids (A), 5 (1993)
973-978.
- TUCK, E.O. "Suspended drops", Mathematical and
Computer Modelling, 18 (1993) 141-159.
- VANDEN-BROECK J.-M. and TUCK E.O. "Flow near the
intersection of a free surface with a vertical wall", SIAM
Journal of Applied Mathematics, 54 (1994) 1-13.
- VANDEN-BROECK J.-M. and TUCK E.O. "Steady inviscid
rotational flows with free surfaces", Journal of Fluid
Mechanics, 258 (1994) 105-113.
- TUCK, E.O. "The planing splash", 9th International
Workshop on Water Waves and Floating Bodies, Kuju, Japan, 17-20 April
1994. Proc. ed. M. Ohkusu, Kyushu University, pp 217-220.
- MADURASINGHE, D. and TUCK, E.O. "The induced electromagnetic
field associated with submerged moving bodies in an unstratified
conducting fluid", IEEE Journal of Oceanic Engineering, 19
(1994) 193-199.
- SCULLEN, D. and TUCK, E.O. "Nonlinear free-surface flow
computations for submerged cylinders", Journal of Ship Research,
39 (1995) 185-193.
- FARROW, D. and TUCK, E.O. "Further studies of stern
wavemaking", Journal of the Australian Mathematical Society,
Series B, 36 (1995) 424-437.
- TUCK, E.O. and KOUZOUBOV, A. "A laminar roughness boundary
condition", Journal of Fluid Mechanics, 300 (1995) 59-70.
- STANDINGFORD, D.W.F. and TUCK, E.O. "Optimal rectangular
endplates", Journal of Aircraft, 33 (1996) 623-625.
- TUCK, E.O. "Planing surfaces", ANZIAM invited lecture,
A.C. Aitken Centenary Conference, University of Otago, Dunedin, N.Z.,
August 1995.
Proceedings ed. L Kavalieris et al, University of Otago Press, 1996, pp.
331-340.
- TUCK, E.O. "Squat: an overview",
Workshop on Ship Squat in Restricted Waters, Society of Naval Architects and
Marine Engineers, Panel H10, October 1995. Proceedings, ed. A. Lansburg, July
1996, pp.
7-11.
- STANDINGFORD , D.W.F. and TUCK, E.O. "Lifting surfaces in
ground effect", Workshop on Ekranoplans and Very Fast Craft, University of
NSW, 5-6 December 1996. Proceedings ed. L.J. Prandolini, Inst. Mar. Engrs. NSW,
pp. 230-243.
- WIRYANTO L.H. and TUCK, E.O., "A back-turning jet formed by a
uniform shallow stream hitting a vertical wall
", International Conference on
Differential Equations, Inst. Tek. Bandung, Indonesia, October 1996. Proc. eds. B. van
Groesen and E.
Soewono, Kluwer, 1997.
- TUCK, E.O., STOKES, Y.M. and SCHWARTZ, L.W. "Slow slumping
of a very viscous liquid bridge", Journal of Engineering Mathematics, 32
(1997) 31-44.
- TUCK, E.O. and ROBERTS, A.J., "Bow-like free surfaces under
gravity",
Philosophical Transactions of the Royal Society of London, Series A,
355 (1997) 665-677.
- TUCK, E.O., SIMAKOV, S.T. and WIRYANTO, L.H., "Steady
splashing flows",
12th
International
Workshop on Water Waves and Floating Bodies,
Marseilles, France, 16-19 March 1997.
Proc. ed. B. Molin, Ecole Superieure d'Ingenieurs de Marseille,
pp. 249-253.
- TUCK, E.O., "Multihulls",
Invited lecture, Special meeting for 100th anniversary of birth of Georg
Weinblum, Marseilles, France, 19-20 March 1997.
In: Proc.
12th
International
Workshop on Water Waves and Floating Bodies,
ed. B. Molin, Ecole Superieure d'Ingenieurs de Marseille,
p. 311 (abstract only).
- TUCK, E.O and STANDINGFORD, D.W.F., "Numerical solution of the
lifting surface equation", Boundary Element
Technology XII, Knoxville, Tenn, 9-11 April 1997. Proceedings ed. J.I. Frankel,
C.A. Brebbia and M.A.H. Aliabadi, Computational Mechanics Publications,
Southampton, pp. 195-206.
- LAZAUSKAS, L. and TUCK, E.O., "Low drag multihulls for
sporting, commercial and military applications",
Fourth International Conference on Fast Sea Transportation,
Sydney, 21-23 July 1997. Proceedings ed. N. Baird, Baird Publications, Melbourne,
pp. 647-652.
- STOKES, Y.M. and TUCK, E.O., "Creeping-flow computational
modelling of optical quality free surfaces formed by slumping of molten
glass",
2nd SIAM Conference on Mathematical Aspects of Materials Science,
Philadelphia, 12-14 May 1997. Proceedings ed. R.V. Kohn, SIAM, Philadelphia, p.
36 (abstract only).
- TUCK, E.O.,
"Bang-bang damping",
Gazette of the Australian Mathematical Society, 24 (1997), 148-149.
- TUCK, E.O.,
"Solution of nonlinear free-surface problems by boundary and
desingularised
integral equation techniques",
invited lecture, 8th Biennial Computational Techniques and Applications
Conference, Adelaide, 29 Sept-1 Oct 1997.
Proc. eds. J. Noye, M. Teubner and A. Gill, World Scientific, Singapore, pp.
11-26, 1998.
- WIRYANTO, L.H. and TUCK, E.O.,
"A boundary-element solution of a free-surface flow in a blocked channel
",
8th Biennial Computational Techniques and Applications
Conference, Adelaide, 29 Sept-1 Oct 1997.
Proc. eds. J. Noye, M. Teubner and A. Gill, World Scientific, Singapore, pp.
743-750, 1998.
- TUCK, E.O. and VANDEN-BROECK, J.M.
, "Ploughing flows ",
European Journal of Applied Mathematics 9 (1998) 463-483.
- TUCK, E.O. and SCULLEN, D.
, "Tandem submerged cylinders each subject to zero drag",
Journal of Fluid Mechanics, 364 (1998) 211-220.
- GOURLAY, T.P. and TUCK, E.O.
, "Hydraulic and slender-body shallow-water theories for flow past a ship
in a
channel, and the determination of squat",
EMAC98, Adelaide, July 1998.
- LAZAUSKAS, L. and TUCK, E.O.
, "Wave cancellation by Weinblum-type catamarans and diamond-shaped
tetramarans",
EMAC98, Adelaide, July 1998.
- TUCK, E.O. and LAZAUSKAS, L.
," Optimum spacing of a family of multihulls",
Ship Technology Research, 45 (1998) 180-195.
- GOURLAY, T.P. and TUCK E.O.
, "One-dimensional theory for flow past a ship in a channel of variable
depth",
Gazette of the Australian Mathematical Society, 25 (1998), 206-211.
- TUCK, E.O. and WIRYANTO, L.
," On steady periodic interfacial waves",
Journal of Engineering Mathematics, 35 (1999) 71-84.
- TUCK, E.O. and SIMAKOV, S.T.
, "Splash formation at the nose of a smoothly curved body in a stream
",
Journal of the Australian Mathematical Society, Series B, 40 (1999) 421-436.
- TUCK, E.O.
, "Inversion of a generalised Hilbert transform",
Journal of the Australian Mathematical Society, Series B (electronic),
40(1999)E173-E187.
- WIRYANTO, L.H. and TUCK, E.O.
, "An open-channel flow meeting a barrier and forming one or two jets
",
Journal of the Australian Mathematical Society, Series B, 41 (2000) 458-472.
- STOKES, Y.M., TUCK, E.O. and SCHWARTZ, L.W.
, "Extensional fall of a very viscous fluid drop",
Quarterly Journal of Mechanics and Applied Mathematics, 53 (2000) 565-582.
- SIMAKOV, S.T., DOSTOVALOVA, A.S. and TUCK, E.O.,
"
A GUI for computing flows past general airfoils
",
Australian MATLAB Users Conference 2000
Melbourne, November 2000.
Proceedings,
ed. K. Dunstan, Ceanet Pty Ltd.
- TUCK, E.O. and DOSTOVALOVA, A.
, "
Aerofoil nose shapes delaying leading-edge separation
",
The Aeronautical Journal, 104 (2000) 433-437.
(pdf hypertext is notes for seminar).
- TUCK, E.O.
, "Numerical solution for unsteady two-dimensional free-surface flows
",
15th Int. Workshop on Water Waves and Floating
Bodies, Caesarea, Israel, 27 February - 1 March 2000.
Proc. ed. T.Miloh and G. Zilman, Univ. Tel Aviv, pp. 174-177.
- TUCK, E.O., SCULLEN, D.C. and LAZAUSKAS, L.
, "Ship-wave patterns in the spirit of Michell",
IUTAM Symposium on Free-Surface Flows, Birmingham, July 2000.
Proc. ed. A.C. King and Y.D. Shikhmurzaev, Fluid Mechanics and its Applications
Volume 62, Kluwer Academic Publishers, Dordrecht, 2001, pp. 311--318.
(This
pre-print
contains colour wave patterns.)
- BILLINGHAM, J. and TUCK, E.O.
," Zero gravity sloshing",
IUTAM Symposium on Free-Surface Flows, Birmingham, July 2000.
Proc. ed. A.C. King and Y.D. Shikhmurzaev, Fluid Mechanics and its Applications
Volume 62, Kluwer Academic Publishers, Dordrecht, 2001, pp. 47--54.
- GOURLAY, T.P. and TUCK, E.O.
," The maximum sinkage of a ship",
Journal of Ship Research, 45 (2001) 50-58.
- TUCK, E.O.,
"
On open Venturis
",
14th Australasian Fluid Mechanics Conference, Adelaide, 10-14
December 2001. Proceedings edited by B.B. Dally, The University of Adelaide,
2001, pp. 247-250.
- TUCK, E.O. and LAZAUSKAS, L.,
"
Free-surface pressure distributions with minimum wave resistance
",
ANZIAM Journal, 43 (2001) E75-E101.
- TUCK, E.O.,
"Waves made by surface or underwater ocean vehicles",
invited lecture, Symposium: Ocean Survey and Resource Development Technology,
Korea Maritime University, Busan, Korea, November 2001. Proc. ed. Han-Il Park,
pp. 49-63.
- TUCK, E.O. and NEWMAN, J.N.,
"
Longitudinal waves in slender moonpools
",
17th Int. Workshop on Water Waves and Floating Bodies, Cambridge, 14-17 April
2002. Proc. ed. R.Rainey, RINA, London, 2002.
- TUCK, E.O. and SCULLEN, D.C.,
"
A comparison of linear and nonlinear computations of waves made by
slender submerged bodies
",
Journal of Engineering Mathematics, 42 (2002) 255-264.
- TUCK, E.O., SCULLEN, D.C. and LAZAUSKAS, L.
, "
Wave patterns and minimum wave resistance for high-speed vessels
",
24th Symposium on Naval Hydrodynamics,
Fukuoka, Japan, 8-13 July, 2002. Proc., Naval Studies Board, National Research
Council, Washington D.C.
- TUCK, E.O.,
"
Computation and minimisation of ship waves
",
(invited lecture) ICIAM03, Sydney, 7-11 July 2003.
Chapter 17 in SIAM Proceedings in Applied Mathematics 116, edited by James M.
Hill and Ross Moore, SIAM 2004.
- TUCK, E.O.,
"Vortex distributions for catamarans, trimarans and surface effect ships
",
ICIAM03, Sydney, 7-11 July 2003.
- STOKES, Y.M. and TUCK, E.O.,
"
The role of inertia in extensional fall of a viscous drop
",
Journal of Fluid Mechanics, 498 (2004) 205-225.
- TUCK, E.O. and LAZAUSKAS, L.
"
Lifting surfaces with circular planforms
",
Journal of Ship Research, 49 (2005) 274-278.
(Originally presented at
19th International Workshop on Water Waves and Floating Bodies, Cortona, Italy,
28-31 April 2004, Session in honour of T.Miloh).
- TUCK, E.O.
"
On thin or slender bodies
",
IMA Lighthill invited lecture, British Applied Mathematics Colloquium, Norwich,
19-22 April 2004.
- MATTNER, T.W., TUCK, E.O. and DENIER, J.P.
"
Optimal nose shaping for delayed boundary-layer separation in laminar
plane-symmetric and axisymmetric flow
",
15th Australasian Fluid Mechanics Conference, Sydney, 13-17
December 2004. Proceedings edited by M. Behnia, W. Lin, & G. D. McBain,
The University of Sydney, 2004, paper AFMC00078.
- TUCK, E.O.
"
Generalised minimum induced drag
",
submitted to ANZIAM Journal, July 2004.
- TUCK, E.O.
"
When does the first derivative exceed the
geometric mean of a function and its second derivative?
",
Gazette of the Australian Mathematical Society, 32 (2005) 267-268.
- TUCK, E.O.
"
Can lateral asymmetry
of the hulls reduce catamaran wave resistance?
",
20th International Workshop on Water Waves and Floating Bodies,
Spitzbergen, Norway, 29 May-1 June 2005. Proc. ed. J. Grue, University of Oslo.
- TUCK, E.O.
"
Riemann-Siegel sums via stationary phase
",
Bulletin of the Australian Mathematical Society 72 (2005) 325-328.
- TUCK, E.O.
"
On positivity of Fourier transforms
",
Bulletin of the Australian Mathematical Society, 74 (2006) 133-138.
- FRIDMAN, G and TUCK, E.O.
"
Two-dimensional finite-depth planing hydrofoil under gravity
",
Third International Summer Scientific School,
High-Speed Hydrodynamics and Numerical Simulation,
Kemerovo, Russia, June 2006.
- BRADSHAW-HAJEK, B. H., STOKES, Y.M. and TUCK, E.O.
"
Computation of extensional fall of slender viscous drops by a one-dimensional
Eulerian method
",
SIAM J. App. Math. 67 (2007) 1166-1182.
- TUCK, E.O.
"
A biography of J.N. Newman
",
Journal of Engineering
Mathematics, 58 (2007) 1-5.
- TUCK, E.O.
"
Slender planing surfaces
",
Journal of Engineering
Mathematics, 58 (2007) 289-299.
- TUCK, E.O.
"
Riemann's hypothesis
",
Notes for a Mathematics Colloquium, given at University of
Adelaide on 31st
August 2007. Updated 5 October 2007 with additional computations.
- TUCK, E.O.
"
Smallest minima of 1-Z(t)Z"(t)/Z'(t)^2
",
ANZIAM 2008, Katoomba NSW, 3-7 February 2008.
- TUCK, E.O.
"
Criteria for real zeros
",
Internal note, 3 March 2008.
- TUCK, E.O. and LAZAUSKAS, L.
"
Drag on a ship and Michell's integral
",
22nd ICTAM, Adelaide, August 2008.
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School of Mathematical Sciences,
The University of Adelaide