Publications

Back to my research interests

1. Worster, M.G. 1983
Convective Flow Problems in Geological Fluid Mechanics
Ph.D. Thesis, Cambridge University.

2. Worster, M.G. & Huppert, H.E. 1983
Time-dependent density profiles in a filling box
Journal of Fluid Mechanics 132, 457—466. PDF

3. Huppert, H.E. & Worster, M.G. 1985
Dynamic solidification of a binary melt
Nature 314, 703—707. PDF

4. Worster, M.G. & Leitch, A.M. 1985
Laminar free convection in confined regions
Journal of Fluid Mechanics 156, 301—319. PDF

5. Worster, M.G. 1986
Solidification of an alloy from a cooled boundary
Journal of Fluid Mechanics 167, 481—501. PDF

6. Worster, M.G. 1986
The axisymmetric laminar plume: asymptotic solutions for large Prandtl numbers
Studies in Applied Mathematics 75, 139—152. PDF

7. Kerr, R.C., Woods, A.W., Worster, M.G. & Huppert, H.E. 1989
Disequilibrium and macrosegregation during solidification of a binary melt
Nature 340, 357—362. PDF

8. Worster, M.G. 1990
Book review of "Fluid Sciences and Materials Science in Space" edited by H.U. Walter
Journal of Fluid Mechanics 211, 657—659. PDF

9. Kerr, R.C., Woods, A.W., Worster, M.G. & Huppert, H.E. 1990
Solidification of an alloy cooled from above. Part I: equilibrium growth
Journal of Fluid Mechanics 216, 323—342. PDF

10. Kerr, R.C., Woods, A.W., Worster, M.G. & Huppert, H.E. 1990
Solidification of an alloy cooled from above. Part II: nonequilibrium interfacial kinetics
Journal of Fluid Mechanics 217, 331—348. PDF

11. Kerr, R.C., Woods, A.W., Worster, M.G. & Huppert, H.E. 1990
Solidification of an alloy cooled from above. Part III: compositional stratification within the solid
Journal of Fluid Mechanics 218, 337—354. PDF

12. Worster, M.G. 1990
Structure of a convecting mushy layer
Applied Mechanics Reviews 43, no 5, Part 2, 59—62.

13. Worster, M.G., Huppert, H.E. & Sparks, R.S.J. 1990
Convection and crystallization in magma cooled from above
Earth and Planetary Scence Letters 101, 78—89. PDF

14. Worster, M.G. 1991
Natural convection in a mushy layer
Journal of Fluid Mechanics 224, 335—359. PDF

15. Shirtcliffe, T.G.L., Huppert, H.E. & Worster, M.G. 1991
Measurement of solid fraction in the crystallization of a binary melt
Journal of Crystal Growth 113, 566—574. PDF

16. Huppert, H.E. & Worster, M.G. 1992
Vigorous motions in magma chambers and lava lakes
IMA Proceedings "Chaotic Processes in the Geological Sciences" 41, (ed. D.Yuen).

17. Worster, M.G. 1992
Instabilities of the liquid and mushy regions during solidification of alloys
Journal of Fluid Mechanics 237, 649—669. PDF

18. Worster, M.G. 1992
The dynamics of mushy layers
In Interactive Dynamics of Convection and Solidification. NATO ASI Series E219, 113—138. Kluwer. PDF

19. Chiareli, A.O.P. & Worster, M.G. 1992
On measurement and prediction of the solid fraction within mushy layers
Journal of Crystal Growth 125, 487—494. PDF

20. Worster, M.G. 1993
Book review of "Mathematical Modeling of Melting and Freezing Processes" by V. Alexiades & A.D. Solomon.
Journal of Fluid Mechanics 251, 719—723. PDF

21. Worster, M.G., Huppert, H.E. & Sparks, R.S.J. 1993
The crystallization of lava lakes
Journal of Geophysical Research 98, no. B9 15891—15901. PDF

22. Chiareli, A.O.P., Worster, M.G. & Huppert, H.E. 1994
Segregation and flow during the solidification of alloys
Journal of Crystal Growth 139, 134—146. PDF

23. Worster, M.G. & Kerr, R.C. 1994
The transient behaviour of alloys solidified from below prior to the formation of chimneys
Journal of Fluid Mechanics 269, 23—44. PDF

24. Wettlaufer, J.S. & Worster, M.G. 1995
Dynamics of premelted films: frost heave in a capillary
Physical Review E 51, 4679. PDF

25. Chiareli, A.O.P. & Worster, M.G. 1995
Flow focusing instability in a solidifying mushy layer
Journal of Fluid Mechanics 297, 293—305. PDF

26. Anderson, D.M. & Worster, M.G. 1995
Weakly-nonlinear analysis of convection in a mushy layer during the solidification of alloys
Journal of Fluid Mechanics 302, 307—331. PDF

27. Anderson, D.M. & Worster, M.G. 1996
A new oscillatory instability in a mushy layer during the solidification of binary alloys
Journal of Fluid Mechanics 307, 245—267. PDF

28. Wettlaufer, J.S., Worster, M.G., Wilen, L.A. & Dash, J.G. 1996
A theory of premelting dynamics for all power law forces
Physical Review Letters 76, 3602—3605. PDF

29. Anderson, D.M., Worster, M.G. & Davis, S.H. 1996
The case for a dynamic contact angle in containerless solidification
Journal of Crystal Growth 163/3, 329—338. PDF

30. Worster, M.G. 1997
Convection in mushy layers
Annual Review of Fluid Mechanics 29, 91—122. PDF

31. Wettlaufer, J.S., Worster, M.G. & Huppert, H.E. 1997
The phase evolution of young sea ice
Geophysical Research Letters 23, 1251—1254. PDF

32. Wettlaufer, J.S., Worster, M.G. & Huppert, H.E. 1997
Natural convection during solidification of an alloy from above with application to the evolution of sea ice
Journal of Fluid Mechanics 344, 291—316. PDF

33. Worster, M.G. & Wettlaufer, J.S. 1997
Natural convection, solute trapping and channel formation during solidification of salt water
Journal of Physical Chemistry 101 (32), 6132—6136. PDF

34. Wettlaufer, J.S., Worster, M.G. & Wilen, L.A. 1997
Premelting Dynamics: Geometry and Interactions
Journal of Physical Chemistry 101 (32), 6137—6141. PDF

35. Schulze, T.P. & Worster, M.G. 1998
A numerical investigation of steady convection in mushy layers during the directional solidification of binary alloys
Journal of Fluid Mechanics 356, 199—220. PDF

36. Worster, M.G. 1998
Book review of "Research Trends in Fluid Dynamics" edited by J.L. Lumley, A. Acrivos, L.G. Leal & S. Leibovich.
Journal of Fluid Mechanics 376, 377. PDF

37. Feltham, D.L. & Worster, M.G. 1999
Corrugations of the sea-ice—ocean interface caused by ocean shear
In Ice Physics and the Natural Environment. NATO ASI Series I 56, 285—287.

38. Schulze, T.P. & Worster, M.G. 1999
Weak convection, liquid inclusions and the formation of chimneys in mushy layers
Journal of Fluid Mechanics 388, 197—215. PDF

39. Feltham, D.L. & Worster, M.G. 1999
Flow-induced morphological instability of a mushy layer
Journal of Fluid Mechanics 391, 337—357. PDF

40. Rempel, A.W. & Worster, M.G. 1999
The interaction between a particle and an advancing solidification front
Journal of Crystal Growth 205, 427—440. PDF

41. Worster, M.G. & Wettlaufer, J.S. 1999
The fluid mechanics of premelted liquid films
In: Fluid Dynamics at Interfaces. ed. W. Shyy. CUP. PDF

42. Feltham, D.L. & Worster, M.G. 2000
Similarity solutions describing the melting of a mushy layer
Journal of Crystal Growth 208, 746—756. PDF

43. Wettlaufer, J.S., Worster, M.G. & Huppert, H.E. 2000
The solidification of leads: theory, experiment and field observations
Journal of Geophysical Research 105, 1123—1134. PDF

44. Worster, M.G. 2000
Solidification of Fluids
In Perspectives in Fluid Dynamicsa Collective Introduction to Current Research. Edited by G.K. Batchelor, H.K. Moffatt and M.G. Worster. pp. 393—446. CUP. PDF

45. Rempel, A.W. & Worster, M.G. 2001. Particle trapping at an advancing solidifcation front, with interfacial-curvature effects
Journal of Crystal Growth 223, 420—432. PDF

46. Aitta, A., Huppert, H.E. & Worster, M.G. 2001
Diffusion-controlled solidification of a ternary melt from a cooled boundary
Journal of Fluid Mechanics 432, 201—217. PDF

47. Rempel, A.W., Waddington, E.D., Wettlaufer, J.S. & Worster, M.G. 2001
Possible displacement of the climate signal in ancient ice by premelting and anomalous diffusion
Nature 411, 568—571. PDF

48. Acton, J.M., Huppert, H.E. & Worster, M.G. 2001
Two-dimensional viscous gravity currents flowing over a deep porous medium
Journal of Fluid Mechanics 440, 359—380. PDF

49. Rempel, A.W., Wettlaufer, J.S. & Worster, M.G. 2001
Interfacial premelting and the thermomolecular force: thermodynamic buoyancy
Physical Review Letters 8708(8), 8501. PDF

50. Aitta, A., Huppert, H.E. & Worster, M.G. 2001
Solidification in ternary systems
In Interactive Dynamics of Convection and Solidification, edited by P. Ehrhard, D.S. Riley & P.H. Steen. Kluwer.

51. Schulze, T.P. & Worster, M.G. 2001
Mushy zones with fully developed chimneys
In Interactive Dynamics of Convection and Solidification, edited by P. Ehrhard, D.S. Riley & P.H. Steen. Kluwer.

52. Schultz, W.W., Worster, M.G. & Anderson, D.M. 2001
Solidifying sessile water droplets
In Interactive Dynamics of Convection and Solidification, edited by P. Ehrhard, D.S. Riley & P.H. Steen. Kluwer. PDF

53. Chung, C.A. & Worster, M.G. 2002
Steady-state chimneys in a mushy layer
Journal of Fluid Mechanics 455, 387—411. PDF

54. Worster, M.G. 2002
Interfaces on all scales
In Interfaces for the 21st Century, edited by M.K. Smith, M.J.Miksis, G.P. Neitzel, G.B. McFadden & D.R. Canright.

55. Feltham, D.L., Worster, M.G. & Wettlaufer, J.S. 2002
The influence of ocean flow on newly forming sea ice
Journal of Geophysical Research 107, art. no. 3009. PDF

56. Thompson, A.F., Huppert, H.E. & Worster, M.G. 2003
A global conservation model for diffusion-controlled solidification of a ternary alloy
Appendix to A model for diffusion-controlled solidification of ternary alloys in mushy layers by D.M. Anderson
Journal of Fluid Mechanics 483, 191—197. PDF

57. Notz, D., McPhee, M., Worster, M.G., Maykut, G.A., Schlünzen, H. & Eiken, H. 2003
Impact of underwater-ice evolution on Arctic summer sea ice
Journal of Geophysical Research 108(C7), art. no. 3223. PDF

58. Thompson, A.F., Huppert, H.E., Worster, M.G. & Aitta, A. 2003
Solidification and compositional convection of a ternary alloy
Journal of Fluid Mechanics 497, 167—199. PDF

59. Rempel, A.W., Wettlaufer, J.S. & Worster, M.G. 2004
Premelting dynamics in a continuum model of frost heave
Journal of Fluid Mechanics 498, 227—244. PDF

60. Worster, M.G. 2004
Time-dependent fluxes across double-diffusive interfaces
Journal of Fluid Mechanics 505, 287—307. PDF

61. Notz, D., Wettlaufer, J.S. & Worster, M.G. 2005
A non-destructive method for measuring salinity and solid fraction of growing sea ice in situ
Journal of Glaciology 51(172), 159—166. PDF

62. Monaghan, J.J., Huppert, H.E. & Worster, M.G. 2005
Solidification using smoothed particle hydrodynamics
Journal of Computational Physics 206(2), 684—705. PDF

63. Schulze, T.P. & Worster, M.G. 2005
A time-dependent formulation of the mushy-zone free-boundary problem
Journal of Fluid Mechanics 541, 193—202. PDF

64. Peppin, S.S.L., Elliott, J.A.W. & Worster, M.G. 2005
Pressure and relative motion in colloidal suspensions
Physics of Fluids 17(5), art. no. 053301. PDF

65. Style, R.W. & Worster, M.G. 2005
Surface transport in pre-melted films with applications to grain-boundary grooving
Physical Review Letters 95, art. no. 176102. PDF

66. Luethje, M., Feltham, D.L., Taylor, P.D. & Worster, M.G. 2006
Modeling the summertime evolution of sea ice melt ponds.
Journal of Geophysical Research 111, 1—17. PDF

67. Butler, S.L., Huppert, H.E. & Worster, M.G. 2006
Numerical modelling of convection in a reactive porous medium with a mobile mush-liquid interface
Journal of Fluid Mechanics 549, 99—129. PDF

68. Wettlaufer, J.S. & Worster, M.G. 2006
Premelting dynamics
Annual Review of Fluid Mechanics 38, 427—452. PDF

69. Le Bars, M. & Worster, M.G. 2006
Interfacial conditions between a pure fluid and a porous medium: implications for binary alloy solidification
Journal of Fluid Mechanics 550, 149-173. PDF

70. Aussillous, P., Sederman, A.J., Gladden, L.F., Huppert, H.E. & Worster, M.G. 2006
Magnetic Resonance Imaging of structure and convection in solidifying mushy layers
Journal of Fluid Mechanics 552, 99—125. PDF

71. Guba, P. & Worster, M.G. 2006
Nonlinear oscillatory convection in mushy layers
Journal of Fluid Mechanics 553, 419—443. PDF

72. Peppin, S.S.L., Elliot, J.A.W. & Worster, M.G. 2006
Solidification of colloidal suspensions
Journal of Fluid Mechanics 554, 147—166. PDF

73. Guba, P. & Worster, M.G. 2006
Free convection in laterally solidifying mushy regions
Journal of Fluid Mechanics 558, 69—78. PDF

74. Le Bars, M. & Worster, M.G. 2006
Solidification of a binary alloy: finite-element, single-domain simulation and new benchmark solutions
Journal of Computational Physics 216, 247—263. PDF

75. Feltham, D.L., Untersteiner, N., Wettlaufer, J.S. & Worster, M.G. 2006
Sea ice is a mushy layer
Geophysical Research Letters 33(14), Art. No. L14501. PDF

76. Peppin, S.S.L., Aussillous, P., Huppert, H.E. & Worster, M.G. 2007
Steady-state mushy layers: experiments and theory
Journal of Fluid Mechanics 570, 69—77. PDF

77. Peppin, S.S.L., Worster, M.G. & Wettlaufer, J.S. 2007
Morphological instability in freezing colloidal suspensions
Proceedings of the Royal Society A 463, 723—733. PDF

78. Notz, D. & Worster, M.G. 2007
The one-dimensional enthalpy model of sea ice
Annals of Glaciology 44, 123—128. PDF

79. Rempel, A.W., Wettlaufer, J.S. & Worster, M.G. 2007
Comment on "A quantitative framework for interpretation of basal ice facies formed by ice accretion over subglacial sediment" by Poul Christoffersen et al.
Journal of Geophysical Research 112, F02036. PDF

80. Worster, M.G. 2007
Ice
Euromech Newsletter 32, 19—25. PDF

81. Peppin, S.S.L., Huppert, H.E. & Worster, M.G. 2008
Steady-state solidification of aqueous ammonium chloride
Journal of Fluid Mechanics 599, 465—476. PDF

82. Notz, D. & Worster, M.G. 2008
In-situ measurements of the evolution of young sea ice
Journal of Geophysical Research 113, C03001. PDF

83. Peppin, S.S.L., Wettlaufer, J.S. & Worster, M.G. 2008
Experimental verification of morphological instability in freezing aqueous colloidal suspensions
Physical Review Letters 100(23), 238301. PDF

84. Wells, A.J. & Worster, M.G. 2008
A geophysical scale model of vertical natural convection boundary layers.
Journal of Fluid Mechanics 609, 111-137. PDF

85. Whiteoak, S.H., Huppert, H.E. & Worster, M.G. 2008
Conditions for defect-free solidification of aqueous ammonium chloride in a new directional solidification facility.
Journal of Crystal Growth 310, 3545-3551. PDF

86. Robison, R.A.V., Huppert, H.E. & Worster, M.G. 2008
Experimental and theoretical modelling of ice sheet-shelf grounding lines.
Proceedings XXII International Congress of Theoretical and Applied Mechanics, Article 11496, ISBN 978-0-9805142-1-6. PDF

87. Katz, R.F. & Worster, M.G. 2008
Simulation of directional solidification, thermochemical convection and chimney formation in a Hele-Shaw cell.
Journal of Computational Physics 227(23), 9823-9840. PDF

88. Spannuth, M.J., Neufeld, J.A., Wettlaufer, J.S. & Worster, M.G. 2009
Axisymmetric viscous gravity currents flowing over a porous medium.
Journal of Fluid Mechanics 622, 135-144. PDF

89. Notz, D. & Worster, M.G. 2009
Desalination processes of sea ice revisited.
Journal of Geophysical Research-Oceans, 114, C05006. PDF

90. Style, R.W. & Worster, M.G. 2009
Frost flower formation on sea ice and lake ice.
Geophysical Research Letters, 36, L11501, doi:10.1029/2009GL037304. PDF

91. Style, R.W. & Worster, M.G. 2010
Linear stability of a solid-vapour interface.
Proceedings of the Royal Society A, 466, 1005-1025. PDF

92. Katz, R.F. & Worster, M.G. 2010
The stability of ice-sheet grounding lines.
Proceedings of the Royal Society A, 466, 1597-1620. PDF

93. Guba, P. & Worster, M.G. 2010
Interactions between steady and oscillatory convection in mushy layers.
Journal of Fluid Mechanics 645, 411-434. PDF

94. Neufeld, J.A., Goldstein, R.E. & Worster, M.G. 2010
On the mechanisms of icicle evolution.
Journal of Fluid Mechanics 647, 287-308. PDF

95. Robison, R.A.V., Huppert, H.E. & Worster, M.G. 2010
Dynamics of viscous grounding lines.
Journal of Fluid Mechanics 648, 363-380. PDF

96. Vlahou, I. & Worster, M.G. 2010
Ice growth in a spherical cavity of a porous medium.
Journal of Glaciology 56(196), 271-277. PDF

97. Keating, S.R., Spiegel, E.A. & Worster, M.G. 2011
Patterns of convection in solidifying binary solutions.
Geophysical & Astrophysical Fluid Dynamics, 105:2, 304-328. PDF

98. Sayag, R., & Worster, M.G. 2011
Elastic response of a grounded ice sheet coupled to a floating ice shelf.
Physical Review E, DOI: 10.1103/PhysRevE.84.036111. PDF

99. Wells, A.J., & Worster, M.G. 2011
Melting and dissolving of a vertical solid surface with laminar compositional convection.
Journal of Fluid Mechanics, 687, 118-140. PDF

100. Sayag, R., Pegler, S.S. & Worster, M.G. 2012
Floating extensional flows.
Physics of Fluids, 24, 091111. PDF

101. Pegler, S.S. & Worster, M.G. 2012
Dynamics of a viscous layer flowing radially over an inviscid ocean.
Journal of Fluid Mechanics, 696, 152-174. PDF

102. Pegler, S.S., Lister, J.R. & Worster, M.G. 2012
Release of a viscous power-law fluid over a denser inviscid ocean.
Journal of Fluid Mechanics, 700, 63-76. PDF

103. Anderson, A.M. & Worster, M.G. 2012
Periodic ice banding in freezing colloidal dispersions.
Langmuir 28(48), 16512–16523. PDF

104. Huppert, H.E. & Worster, M.G. 2012
Flows involving phase change.
In Environmental Fluid Dynamics Handbook. Edited by H.J. Fernando. CRC Press. PDF

105. Rees Jones, D.W. & Worster, M.G. 2012
A simple dynamical model for gravity drainage of brine from growing sea ice.
Geophysical Research Letters 40, 307-311 PDF

106. Rees Jones, D.W. & Worster, M.G. 2013
Fluxes through steady chimneys in a mushy layer during binary alloy solidification.
Journal of Fluid Mechanics, 714, 127–151. PDF

107. Sayag, R. & Worster, M.G. 2013
Axisymmetric gravity currents of power-law fluids over a rigid horizontal surface.
Journal of Fluid Mechanics, 716, R5. PDF

108. Pegler, S.S., Kowal, K.N., Hasenclever, L.Q. & Worster, M.G. 2013
Lateral controls on grounding-line dynamics.
Journal of Fluid Mechanics, 722, R1. PDF

109. Pegler, S.S. & Worster, M. G. 2013
An experimental and theoretical study of the dynamics of grounding lines.
Journal of Fluid Mechanics, 728, 5–28. PDF

110. Sayag, R. & Worster, M.G. 2013
Elastic dynamics and tidal migration of grounding lines modify subglacial lubrication and melting.
Geophysical Research Letters 40, 5877–5881. PDF

111. Worster, M.G. 2014
Dynamics of marine ice sheets.
Proceedings XXIII International Congress of Theoretical and Applied Mechanics. PDF

112. Rees Jones, D.W. & Worster, M.G. 2014
A physically-based parameterization of gravity drainage for sea-ice modelling.
Journal of Geophysical Research 119, 5599–5621. PDF

113. Anderson, A.M. & Worster, M.G. 2014
Freezing colloidal suspensions: periodic ice lenses and compaction.
Journal of Fluid Mechanics, 758, 786–808. PDF

114. Rees Jones, D.W. & Worster, M.G. 2015
On the thermodynamic boundary conditions of a solidifying mushy layer with outflow.
Journal of Fluid Mechanics, 762, R1. PDF

115. Kowal, K.N. & Worster, M.G. 2015
Lubricated viscous gravity currents.
Journal of Fluid Mechanics, 766, 626-655. PDF

116. Vlahou, I. & Worster, M.G. 2015
Freeze fracturing of elastic porous media: a mathematical model.
Proceedings of the Royal Society A, DOI: 10.1098/rspa.2014.0741. PDF

117. Worster, M.G. & Rees Jones, D.W. 2015
Sea-ice thermodynamics and brine drainage.
Philosophical Transactions of the Royal Society A 373, 20140166. PDF

118. Wearing, M.G. Hindmarsh, R.C.A. & Worster, M.G. 2015
Assessment of ice-flow dynamics at the calving zones of Antarctic ice shelves.
Journal of Glaciology 61(230), 1194–1206. PDF

119. Kowal, K.N., Pegler, S.S. & Worster, M.G. 2016
Dynamics of laterally confined marine ice sheets.
Journal of Fluid Mechanics, 790, R2. PDF

120. Hewitt, D.R., Nijjer, J.S., Worster, M.G. & Neufeld, J.A. 2016
Flow-induced compaction of a deformable porous medium.
Physical Review E, DOI: 10.1103/PhysRevE.93.023116. PDF

Books written and edited

B1. Interactive Dynamics of Convection and Solidification. Edited by S.H. Davis, H.E. Huppert, U. Müller and M.G. Worster. Kluwer 1992.

B2. Perspectives in Fluid Dynamics — a Collective Introduction to Current Research. Edited by G.K. Batchelor, H.K. Moffatt and M.G. Worster. CUP 2000.

B3. Understanding Fluid Flow. M.G. Worster. CUP 2009.