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Prof Chris A Jones

Professor of Applied Nonlinear Dynamics
Applied Mathematics

Contact details

Room: 8.32
Tel: +44 (0)113 3435107
Email: C.A.Jones @ maths.leeds.ac.uk

Keywords

Magnetic field generation in the Earth and other planets
Thermal convection in rotating and magnetic systems
Winds in the giant planets
The solar dynamo
Pattern formation in strongly nonlinear systems

Research interests

My interests are in Geophysical and Astrophysical fluid dynamics. The Earth's core is continually stirred by convection as heat escapes from the deep interior. Since the core is mostly molten iron, these flows can generate electric currents which produce the Earth's magnetic field. By solving the equations governing convection in a rotating magnetic environment, we can understand the flow patterns, and hence discover how the Earth's magnetic field is created. The field patterns that emerge from the models can be compared with observed geomagnetic data, so we can use this data to probe the physical conditions in the core.

Similar ideas can be used to study the magnetic fields of other planets, and also to understand the origin of the very fast east-west winds that are seen on the giant outer planets. Since the density varies dramatically over the convecting regions in giant planets, I have been involved in developing computational methods based on the anelastic equations of fluid dynamics, which take the large density variation into account.

The mathematical part of this work involves understanding the behaviour of convection in the presence of rotation and magnetic field, both near onset and in the strongly nonlinear regime. This involves studying the bifurcations to new flow and field patterns, and hence the mathematics of nonlinear dynamics.

I am an Editor of the journal 'Physics of the Earth and Planetary Interiors, and an Associate Editor of the journal 'Geophysical and Astrophysical Fluid Dynamics'.

Useful links

Link to personal pages about my research and teaching
Link to Physics of the Earth and Planetary Interiors
Link to Geophysical and Astrophysical Fluid Dynamics

Current postgraduate students

Joshua Kirk (2014)
Xiomara Marquez Artavia (2014)
Luke Robins (2013)

Publications

Guervilly C, Hughes DW, Jones CA Large-scale-vortex dynamos in planar rotating convection Journal of Fluid Mechanics, 815, 333-360, 2017
DOI:10.1017/jfm.2017.56
View abstract

Márquez-Artavia X, Jones CA, Tobias SM Rotating magnetic shallow water waves and instabilities in a sphere Geophysical and Astrophysical Fluid Dynamics, 1-41, 2017
DOI:10.1080/03091929.2017.1301937
View abstract

Matsui H, Heien E, Aubert J, Aurnou JM, Avery M, Brown B, Buffett BA, Busse F, Christensen UR, Davies CJ, Featherstone N, Gastine T, Glatzmaier GA, Gubbins D, Guermond JL, Hayashi YY, Hollerbach R, Hwang LJ, Jackson A, Jones CA, Jiang W, Kellogg LH, Kuang W, Landeau M, Marti P, Olson P, Ribeiro A, Sasaki Y, Schaeffer N, Simitev RD, Sheyko A, Silva L, Stanley S, Takahashi F, Takehiro SI, Wicht J, Willis AP Performance benchmarks for a next generation numerical dynamo model Geochemistry, Geophysics, Geosystems, 17, 1586-1607, 2016
DOI:10.1002/2015GC006159
View abstract

Hori K, Jones CA, Teed RJ Slow magnetic Rossby waves in the Earth's core Geophysical Research Letters, 42, 6622-6629, 2015
DOI:10.1002/2015GL064733
View abstract

Teed RJ, Jones CA, Tobias SM The transition to Earth-like torsional oscillations in magnetoconvection simulations Earth and Planetary Science Letters, 419, 22-31, 2015
DOI:10.1016/j.epsl.2015.02.045
View abstract

Guervilly C, Hughes DW, Jones CA Generation of magnetic fields by large-scale vortices in rotating convection Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 91, 2015
DOI:10.1103/PhysRevE.91.041001
View abstract

Jones CA A dynamo model of Jupiter's magnetic field Icarus, 241, 148-159, 2014
DOI:10.1016/j.icarus.2014.06.020
View abstract

Welsh S, Kersale E, Jones CA Compressible Taylor-Couette flow - instability mechanism and codimension 3 points JOURNAL OF FLUID MECHANICS, 750, 555-577, 2014
DOI:10.1017/jfm.2014.279

Guervilly C, Hughes DW, Jones CA Large-scale vortices in rapidly rotating Rayleigh-Bénard convection Journal of Fluid Mechanics, 758, 407-435, 2014
DOI:10.1017/jfm.2014.542
View abstract

Teed RJ, Jones CA, Tobias SM The dynamics and excitation of torsional waves in geodynamo simulations Geophysical Journal International, 196, 724-735, 2013
DOI:10.1093/gji/ggt432
View abstract

Teed RJ, Jones CA, Hollerbach R On the necessary conditions for bursts of convection within the rapidly rotating cylindrical annulus Physics of Fluids, 24, 2012
DOI:10.1063/1.4711398
View abstract

Jones CA, Boronski P, Brun AS, Glatzmaier GA, Gastine T, Miesch MS, Wicht J Anelastic convection-driven dynamo benchmarks Icarus, 216, 120-135, 2011
DOI:10.1016/j.icarus.2011.08.014

Jones CA, Sreenivasan B Helicity generation and subcritical behaviour in rapidly rotating dynamos Journal of Fluid Mechanics, 688, 5-30, 2011
DOI:10.1017/jfm.2011.233

Jones CA Planetary Magnetic Fields and Fluid Dynamos ANNU REV FLUID MECH, 43, 583-614, 2011
DOI:10.1146/annurev-fluid-122109-160727

Jones CA, Thompson MJ, Tobias SM The Solar Dynamo SPACE SCI REV, 152, 591-616, 2010
DOI:10.1007/s11214-009-9579-5

Teed RJ, Jones CA, Hollerbach R Rapidly rotating plane layer convection with zonal flow GEOPHYS ASTRO FLUID, 104, 457-480, 2010
DOI:10.1080/03091929.2010.512290

Jones CA, Kuzanyan KM Compressible convection in the deep atmospheres of giant planets ICARUS, 204, 227-238, 2009
DOI:10.1016/j.icarus.2009.05.022

Jones CA, Kuzanyan KM, Mitchell RH Linear theory of compressible convection in rapidly rotating spherical shells, using the anelastic approximation J FLUID MECH, 634, 291-319, 2009
DOI:10.1017/S0022112009007253

Jones CA Course 2 Dynamo theory Les Houches Summer School Proceedings, 88, 45-135, 2008
DOI:10.1016/S0924-8099(08)80006-6

Rashid FQ, Jones CA, Tobias SM Hydrodynamic instabilities in the solar tachocline ASTRON ASTROPHYS, 488, 819-827, 2008
DOI:10.1051/0004-6361:200810039

Chen QN, Jones CA Similarity and dynamic similarity models for large-eddy simulations of a rotating convection-driven dynamo GEOPHYS J INT, 172, 103-114, 2008
DOI:10.1111/j.1365-246X.2007.03621.x

Livermore PW, Jones CA, Worland SJ Spectral radial basis functions for full sphere computations J COMPUT PHYS, 227, 1209-1224, 2007
DOI:10.1016/j.jcp.2007.08.026

Jones CA Thermal and Compositional Convection in the Outer Core In Treatise on Geophysics, 8, 131-185, 2007
DOI:10.1016/B978-044452748-6.00130-9
View abstract

Rogers TM, Glatzmaier GA, Jones CA Numerical simulations of penetration and overshoot in the sun ASTROPHYS J, 653, 765-773, 2006

Rotvig J, Jones CA Multiple jets and bursting in the rapidly rotating convecting two-dimensional annulus model with nearly plane-parallel boundaries J FLUID MECH, 567, 117-140, 2006
DOI:10.1017/S0022112006002254

Eltayeb IA, Jones CA Special issue: Modelling dynamo processes - Introduction GEOPHYS ASTRO FLUID, 100, 279-279, 2006
DOI:10.1080/03091920600997111

Gillet N, Jones CA The quasi-geo strophic model for rapidly rotating spherical convection outside the tangent cylinder J FLUID MECH, 554, 343-369, 2006
DOI:10.1017/S0022112006009219

Sreenivasan B, Jones CA The role of inertia in the evolution of spherical dynamos Geophysical Journal International, 164, 467-476, 2006
DOI:10.1111/j.1365-246X.2005.02845.x
View abstract

Sharif BW, Jones CA Rotational and magnetic instability in the diffusive tachocline GEOPHYS ASTRO FLUID, 99, 493-511, 2005
DOI:10.1080/03091920500372084

Sreenivasan B, Jones CA Structure and dynamics of the polar vortex in the Earth's core Geophysical Research Letters, 32, 1-4, 2005
DOI:10.1029/2005GL023841
View abstract

Anufriev AP, Jones CA, Soward AM The Boussinesq and anelastic liquid approximations for convection in the Earth's core Physics of the Earth and Planetary Interiors, 152, 163-190, 2005
DOI:10.1016/j.pepi.2005.06.004
View abstract

Jones CA, Roberts PH Turbulence models and Plane layer dynamos In Fluid Dynamics and Dynamos in Astrophysics and Geophysics, 12, 295-330, 2005
View abstract

Burkert A, Lin DNC, Bodenheimer PH, Jones CA, Yorke HW On the surface heating of synchronously-spinning short-period Jovian planets Advances in Applied Mathematics, 618, 512-523, 2005
View abstract

Dormy E, Soward AM, Jones CA, Jault D, Cardin P The onset of thermal convection in rotating spherical shells Journal of Fluid Mechanics, 501, 43-70, 2004
DOI:10.1017/S0022112003007316
View abstract

Chan KH, Liao X, Zhang K, Jones CA Non-axisymmetric spherical interface dynamos Astronomy and Astrophysics, 423, L37-40, 2004
DOI:10.1051/0004-6361:200400034
View abstract

Jones CA, Rotvig J, Abdulrahman A Multiple jets and zonal flow on Jupiter Geophysical Research Letters, 30, pp.1731, 2003
DOI:10.1029/2003GL016980
View abstract

Jones CA, Mussa AI, Worland SJ Magnetoconvection in a rapidly rotating sphere: the weak-field case Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences, 459, 773-797, 2003
DOI:10.1098/rspa.2002.1048
View abstract

Jones CA Dynamos in Planets In Stellar Astrophysical Fluid Dynamics, 159-176, 2003
View abstract

Roberts PH, Jones CA, Calderwood AR Energy Fluxes and Ohmic dissipation in the Earth's core In Earth's Core and Lower Mantle, 100-129, 2003
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Rotvig J, Jones CA Rotating convection-driven dynamos at low Ekman number Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), 66, 1-15, 2002
View abstract

Starchenko S, Jones CA Typical velocities and magnetic field strengths in planetary interiors Icarus, 157, 426-435, 2002
DOI:10.1006/icar.2002.6842
View abstract

Wicht J, Jones CA, Zhang K Instability of zonal flows in rotating spherical shells, an application to Jupiter Icarus, 155, 425-435, 2002
DOI:10.1006/icar.2001.6733
View abstract