Module MATH2640, Introduction to Optimisation.
Module MATH3397, Nonlinear Dynamics.
Module MATH5397, Advanced Nonlinear Dynamics.
All student information and example sheets are now on the Leeds University Blackboard VLE.
Anelastic dynamo benchmark paper here:
pdf preprint of dynamo benchmark paper
Jones, C.A., Boronski, P., Brun, A.S., Glatzmaier, G.A.,
Gastine, T., Miesch, M.S. and Wicht, J.
Anelastic convection-driven dynamo benchmarks
Icarus 216, 120-135.
abstract and
link to published article available
Jones, C.A., 2011.
Planetary magnetic fields and fluid dynamos
Annual Review of Fluid Mechanics, 43,583-614.
abstract and
link to published article available
Jones, C.A., Thompson, M.J. and Tobias, S.M., 2010.
The solar dynamo
Space Science Reviews, 152, 591-616.
abstract and
link to published article available
Teed, R.J., Jones, C.A. and Hollerbach, R., 2010.
Rapidly rotating plane layer convection with zonal flow
Geophysical and Astrophysical Fluid Dynamics, 104, 457-480.
abstract and
link to published article available
pdf
of preprint available
Jones, C.A. and Kuzanyan, K.M., 2009.
Compressible convection in the deep atmospheres of giant planets
Icarus, 204,227-238.
abstract and
link to published article available
pdf
of preprint available
Jones, C.A., Kuzanyan, K.M. and Mitchell, R.H, 2009.
Linear theory of compressible convection in rapidly rotating
spherical shells, using the anelastic approximation
Journal of Fluid Mechanics, 634 , 291-319.
abstract and
link to published article available
pdf
of preprint available
Rashid, F.Q., Jones, C.A. and Tobias, S.M., 2008.
Hydrodynamic instabilities in the solar tachocline
Astronomy and Astrophysics, 488, 819-827.
pdf
file available
Chen, Q.N. and Jones, C.A., 2008.
Similarity and dynamic similarity models for large-eddy
simulations of a rotating convection-driven dynamo
Geophysical Journal International, 172, 103-114.
abstract and
link to published article available
pdf
of preprint available
Livermore, P.W., Jones, C.A. and Worland, S.J., 2007.
Spectral radial basis functions for full sphere computations
Journal of Computational Physics, 227, 1209-1224.
abstract and
link to published article available
Jones, C.A., 2007.
Thermal and Compositional Convection in the Outer Core
In: Treatise on Geophysics, volume 8, volume editor P. Olson,
series editor G. Schubert. Elsevier.
pdf
file available
Rogers, T.M., Glatzmaier, G.A. and Jones, C.A., 2006.
Numerical simulations of penetration and overshoot in the sun.
Astrophysical Journal, 653,
765-773.
pdf
file available
Rotvig, J. and Jones, C.A., 2006.
Multiple jets and bursting in the rapidly rotating convecting
two-dimensional annulus model with nearly plane-parallel boundaries.
Journal of Fluid Mechanics 567, 117 - 140.
abstract and
link to published article available
Sreenivasan, B. and Jones, C.A., 2006.
Azimuthal winds, convection and dynamo action in the
polar region of the planetary cores.
Geophysical and Astrophysical Fluid Dynamics
100, 319 - 339.
abstract and
link to published article available
pdf
of preprint available
Gillet, N and Jones, C.A., 2006.
The quasi-geostrophic model for rapidly rotating spherical convection
outside the tangent cylinder.
Journal of Fluid Mechanics 554, 343 - 369.
abstract and
link to published article available
pdf of preprint
available
Sreenivasan, B. and Jones, C.A., 2006.
The role of inertia in the evolution of spherical dynamos.
Geophysical Journal International 164, 467-476.
abstract and
link to published article available
Sharif, B.W. and Jones, C.A., 2005.
Rotational and magnetic instability in the diffusive tachocline.
Geophysical and Astrophysical Fluid Dynamics
99, 493-511.
abstract and
link to published article available
pdf
of preprint available
Sreenivasan, B. and Jones, C.A., 2005.
Structure and dynamics of the polar vortex in the Earth's core.
Geophysical Research Letters 32, (20): Art. No. L20301.
abstract and
link to published article available
pdf
file available
Anufriev, A.P., Jones, C.A. and Soward, A.M., 2005.
The Boussinesq and anelastic liquid approximations for convection in
the Earth's core.
Physics of the Earth and Planetary Interiors, 152, 163-190.
abstract and link to published article
pdf
of preprint available
Burkert, A., Lin, D.N.C., Bodenheimer, P.H., Jones, C.A., and Yorke, H.W., 2005.
On the surface heating of synchronously-spinning short-period Jovian planets.
Astrophysical Journal, 618,
512-523.
pdf
available
Chan, K.H., Liao, X., Zhang, K., and Jones, C.A., 2004.
Non-axisymmetric spherical interface dynamos.
Astronomy and Astrophysics, 423, L37-40.
abstract
available
Dormy, E., Soward, A.M., Jones, C.A., Jault, D. and Cardin, P., 2004.
The onset of thermal convection in rotating spherical shells.
Journal of Fluid Mechanics, 501, 43-70.
abstract and
link to published article available
Jones, C.A. and Roberts P.H., 2004.
Turbulence models and plane layer dynamos. In:
'Fluid dynamics and dynamos in Astrophysics and Geophysics', eds A.M. Soward,
D.W. Hughes, C.A. Jones and N.O. Weiss. Taylor and Francis.
pdf
file available
Roberts, P.H., Jones, C.A. and Calderwood, A., 2003.
Energy fluxes and Ohmic dissipation in the Earth's core. In: Earth's Core
and Lower Mantle, eds. C.A. Jones, A.M. Soward and K. Zhang, Taylor and Francis,
pp 100-129.
pdf
file available
Jones, C.A., Rotvig, J. and Abdulrahman, A., 2003.
Multiple jets and zonal flow on Jupiter.
Geophysical Research Letters, 30, Art. No. 1731 (4pp).
abstract and
link to published article available
Jones, C.A., 2003.
Dynamos in planets. In: Stellar Astrophysical Fluid Dynamics, eds. M.J. Thompson
and J. Christensen-Dalsgaard. Cambridge University Press. pp 159-176.
pdf
file available
Jones, C.A., Mussa, A.I. and Worland, S.J., 2003.
Magnetoconvection in a rapidly rotating sphere: the weak field case.
Proceedings of the Royal Society of London, Series A, 459, 773-797.
abstract and
link to published article available
Rotvig, J. and Jones, C.A., 2002.
Rotating convection driven dynamos at low Ekman number.
Physical Review E, 66, Art. no. 056308 (15pp).
abstract and
link to published article available
Starchenko, S. and Jones, C.A., 2002.
Typical velocities and magnetic field strengths in planetary interiors.
Icarus, 157, 426-435.
abstract and
link to published article available
Wicht, J., Jones, C.A. and Zhang, K., 2002.
Instability of zonal flows in rotating spherical shells, an
application to Jupiter.
Icarus, 155, 425-435.
abstract and
link to published article available
Abdulrahman, A., Jones, C.A., Proctor, M.R.E. and Julien, K., 2000.
Large wavenumber convection in the rotating annulus.
Geophysical and Astrophysical Fluid Dynamics, 93, 227-252.
abstract and
link to published article available
Roberts, P.H. and Jones, C.A., 2000.
The onset of magnetoconvection at large Prandtl number in a
rotating layer. I. Finite magnetic diffusion.
Geophysical and Astrophysical Fluid Dynamics, 92, 289-325.
abstract and
link to published article available
Jones, C.A. and Roberts, P.H., 2000.
The onset of magnetoconvection at large Prandtl number in a
rotating layer. II. Small magnetic diffusion.
Geophysical and Astrophysical Fluid Dynamics, 93,
173-226.
abstract and
link to published article available
Jones, C.A., 2000.
Convection driven geodynamo models.
Philosophical Transactions of the Royal Society of London, Series A,
358, 873-897.
abstract and
link to published article available
Jones, C.A., Soward, A.M. and Mussa, A.I., 2000.
The onset of convection in a rapidly rotating sphere.
Journal of Fluid Mechanics, 405, 157-179.
abstract and
link to published article available
Jones, C.A. and Roberts, P.H., 2000.
Convection driven dynamos in a rotating plane layer.
Journal of Fluid Mechanics, 404, 311-343.
abstract and
link to published article available