School of Earth and Environment

Phil Livermore 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

  • Livermore PW; Hollerbach R (2012) Successive elimination of shear layers by a hierarchy of constraints in inviscid spherical-shell flows, Journal of Mathematical Physics, 53, . doi: 10.1063/1.4736990
  • Livermore PW (2012) The Spherical Harmonic Spectrum of a Function with Algebraic Singularities, Journal of Fourier Analysis and Applications, 18, pp.1146-1166. doi: 10.1007/s00041-012-9236-3
  • Li K; Jackson A; Livermore PW (2011) Variational data assimilation for the initial-value dynamo problem, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 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
  • 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
  • Livermore PW; Ierley GR (2010) Quasi-L norm orthogonal Galerkin expansions in sums of Jacobi polynomials: Orthogonal expansions, Numerical Algorithms, 54, pp.533-569. doi: 10.1007/s11075-009-9353-5
  • 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; 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; 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 (2010) Galerkin orthogonal polynomials, J COMPUT PHYS, 229, pp.2046-2060. doi: 10.1016/j.jcp.2009.11.022
  • Livermore P; Ierley G (2009) A new identity linking coefficients of a certain class of homogeneous polynomials and Gauss hypergeometric functions, .
  • 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
  • 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 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
  • 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; 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; 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; 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, 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) Preferential axisymmetric field growth in kinematic geodynamo models, GEOPHYS RES LETT, 31, . doi: 10.1029/2004GL021397
  • 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 P (Not yet published) Kinematic Dynamos, In: Gubbins DG; Herrero-Bervera E (Ed) Encyclopedia of Geomagnetism and Paleomagnetism, Springer, pp.188-192.