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, PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 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, PHYSICS OF FLUIDS, 22, . doi: 10.1063/1.3313930
Livermore PW; Ierley GR (2010) Quasi-L (p) norm orthogonal Galerkin expansions in sums of Jacobi polynomials, NUMERICAL ALGORITHMS, 54, pp.533-569. doi: 10.1007/s11075-009-9353-5
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, JOURNAL OF COMPUTATIONAL PHYSICS, 229, pp.2046-2060. doi: 10.1016/j.jcp.2009.11.022
Livermore PW; Ierley GR (2010) Quasi-Lp norm orthogonal Galerkin expansions in sums of Jacobi polynomials: Orthogonal expansions, Numerical Algorithms, 54, pp.533-569.
Li K; Livermore PW; Jackson A (2010) An optimal Galerkin scheme to solve the kinematic dynamo eigenvalue problem in a full sphere, JOURNAL OF COMPUTATIONAL PHYSICS, 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, ADVANCES IN APPLIED MATHEMATICS, 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, GEOPHYSICAL JOURNAL INTERNATIONAL, 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) 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, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 464, pp.3149-3174. doi: 10.1098/rspa.2008.0091
Livermore PW (2007) An implementation of the exponential time differencing scheme to the magnetohydrodynamic equations in a spherical shell, JOURNAL OF COMPUTATIONAL PHYSICS, 220, pp.824-838. doi: 10.1016/j.jcp.2006.05.029
Livermore PW; Hughes DW; Tobias SM (2007) The role of helicity and stretching in forced kinematic dynamos in a spherical shell, PHYSICS OF FLUIDS, 19, . doi: 10.1063/1.2717947
Livermore PW; Jones CA; Worland SJ (2007) Spectral radial basis functions for full sphere computations, JOURNAL OF COMPUTATIONAL PHYSICS, 227, pp.1209-1224. doi: 10.1016/j.jcp.2007.08.026
Livermore PW; Hughes DW; Tobias SM (2006) The role of kinetic helicity in spherical shell dynamos, European Space Agency, (Special Publication) ESA SP, .
Livermore PW; Jackson A (2006) Transient magnetic energy growth in spherical stationary flows, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 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, GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 99, pp.467-480. doi: 10.1080/03091920500404861
Livermore PW; Jackson A (2004) On magnetic energy instability in spherical stationary flows, PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 460, pp.1453-1476. doi: 10.1098/rspa.2003.1200
Livermore PW; Jackson A (2004) Preferential axisymmetric field growth in kinematic geodynamo models, GEOPHYSICAL RESEARCH LETTERS, 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.