Dr Phil Livermore

NERC Advanced Research Fellow

Telephone number: +44(0) 113 34 30379
Email address: p.w.livermore@leeds.ac.uk
Room: 8.137

Research Interests

Phil's research is focussed on understanding the origin of our planet's magnetic field. Over the course of his 5 year NERC advanced fellowship, he will work on producing a new generation of more realistic computer models of the Earth's fluid outer core that he hopes will admit a much better understanding of the processes involved in sustaining the geomagnetic field.

More broadly, he is interested in theoretical geophysics and high performance computing.

Publications

Jackson, A; Livermore, PW; Ierley, G (2011) On Ohmic heating in the Earth's core II: Poloidal magnetic fields obeying Taylor's constraint, PHYS EARTH PLANET IN, 187, pp.322-327. doi:10.1016/j.pepi.2011.06.003
Li, K; Jackson, A; Livermore, PW (2011) Variational data assimilation for the initial-value dynamo problem , PHYSICAL REVIEW E, 84, . doi:10.1103/PhysRevE.84.056321
Livermore, PW; Ierley, G; Jackson, A (2011) The evolution of a magnetic field subject to Taylor's constraint using a projection operator , GEOPHYSICAL JOURNAL INTERNATIONAL, 187, pp.690-704. doi:10.1111/j.1365-246X.2011.05187.x
Livermore, PW; Hughes, DW; Tobias, SM (2010) Nonlinear generation of large-scale magnetic fields in forced spherical shell dynamos, PHYS FLUIDS, 22, . doi:10.1063/1.3313930
Livermore, PW; Ierley, GR; Jackson, A (2010) The construction of exact Taylor states. II: The influence of an inner core, PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 178, pp.16-26. doi:10.1016/j.pepi.2009.07.015
Livermore, PW (2010) Galerkin orthogonal polynomials, J COMPUT PHYS, 229, pp.2046-2060. doi:10.1016/j.jcp.2009.11.022
Li, KA; Livermore, PW; Jackson, A (2010) An optimal Galerkin scheme to solve the kinematic dynamo eigenvalue problem in a full sphere, J COMPUT PHYS, 229, pp.8666-8683. doi:10.1016/j.jcp.2010.07.039
Livermore, PW; Ierley, GR (2009) A new hypergeometric identity linking coefficients of a certain class of homogeneous polynomials motivated from magneto hydrodynamics, ADV APPL MATH, 43, pp.390-393. doi:10.1016/j.aam.2009.06.001
Livermore, PW; Ierley, G; Jackson, A (2009) The construction of exact Taylor states. I: The full sphere, GEOPHYS J INT, 179, pp.923-928. doi:10.1111/j.1365-246X.2009.04340.x
Jackson, A; Livermore, P (2009) On Ohmic heating in the Earth's core I: nutation constraints, GEOPHYS. J. INT., 177, pp.367-382. doi:10.1111/j.1365-246X.2008.04008.x
Livermore, P (2009) A Compendium of Galerkin Orthogonal Polynomials. ,.
Livermore, P; Ierley, G (2009) Quasi Lp norm orthogonal Galerkin expansions in sums of Jacobi polynomials., Num. Alg., . doi:10.1007/s11075-009-9353-5
Livermore, P; Ierley, G (2009) A new identity linking coefficients of a certain class of homogeneous polynomials and Gauss hypergeometric functions ,.
Livermore, PW; Ierley, G; Jackson, A (2008) The structure of Taylor's constraint in three dimensions, P R SOC A, 464, pp.3149-3174. doi:10.1098/rspa.2008.0091
Livermore, PW; Hughes, DW; Tobias, SM (2007) The role of helicity and stretching in forced kinematic dynamos in a spherical shell, PHYS FLUIDS, 19, . doi:10.1063/1.2717947
Livermore, PW (2007) An implementation of the exponential time differencing scheme to the magnetohydrodynamic equations in a spherical shell, J COMPUT PHYS, 220, pp.824-838. doi:10.1016/j.jcp.2006.05.029
Livermore, PW; Jones, CA; Worland, SJ (2007) Spectral radial basis functions for full sphere computations, J COMPUT PHYS, 227, pp.1209-1224. doi:10.1016/j.jcp.2007.08.026
Livermore, PW; Jackson, A (2006) Transient magnetic energy growth in spherical stationary flows, P R SOC A, 462, pp.2457-2479. doi:10.1098/rspa.2005.1644
Livermore, PW; Jackson, A (2005) A comparison of numerical schemes to solve the magnetic induction eigenvalue problem in a spherical geometry, GEOPHYS ASTRO FLUID, 99, pp.467-480. doi:10.1080/03091920500404861
Livermore, PW; Jackson, A (2004) On magnetic energy instability in spherical stationary flows, P ROY SOC LOND A MAT, 460, pp.1453-1476. doi:10.1098/rspa.2003.1200
Livermore, PW; Jackson, A (2004) Preferential axisymmetric field growth in kinematic geodynamo models, GEOPHYS RES LETT, 31, . doi:10.1029/2004GL021397
Livermore, P (Not yet published) Kinematic Dynamos, In: Gubbins, DG; Herrero-Bervera, E (Ed) Encyclopedia of Geomagnetism and Paleomagnetism, Springer, pp.188-192.