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Department of Meteorology – University of Reading

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Dr. Hilary Weller

Associate Professor

Research Interests:

  • Numerical methods for atmospheric modelling
  • Finite volume methods
  • Adaptive meshes
  • Optimally transported meshes
  • Vertical discretisation
  • Time-stepping schemes

Research Projects:

  • Moving Meshes for Global Atmospheric Modelling : A joint 3 year, 6 FTE project between Reading, Bath and Imperial College to develop moving mesh methods for global atmospheric modelling
  • Gung Ho : The UM Dynamical Core project. Joint project between the Met Office, 6 Universities and the Science and Technologies Facilities Centre to design and build the dynamical core of the next UK weather and climate forecasting model.
  • Adaptive Mesh Modelling of the Global Atmosphere. NERC Advanced fellowship to investigate the use of adaptive meshes and mesh refinement criteria for global atmospheric modelling.

Postdoctoral & graduate student supervision

  • Mr James Shaw PhD on the Numerical Representation of Mountains in Atmospheric Models.


  • Introduction to numerical methods for Atmosphere, Ocean and Climate MSc students
  • Intensive week lecture course on numerical methods and Python programming for climate models at the NCAS Climate Modelling Summer school

Other Activities

Centaur Publications

Jump to: 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003
Number of items: 41.


Weller, H., Woodfield, J., Kühnlein, C. and Smolarkiewicz, P. K. (2023) Adaptively implicit MPDATA advection for arbitrary Courant numbers and Meshes. Quarterly Journal of the Royal Meteorological Society, 149 (751). pp. 369-388. ISSN 1477-870X doi:


Yamazaki, H., Weller, H., Cotter, C. J. and Browne, P. A. ORCID: (2022) Conservation with moving meshes over orography. Journal of Computational Physics, 461. 111217. ISSN 0021-9991 doi:

Shipley, D., Weller, H., Clark, P. A. ORCID: and McIntyre, W. A. (2022) Two-fluid single-column modelling of Rayleigh-Bénard convection as a step towards multi-fluid modelling of atmospheric convection. Quarterly Journal of the Royal Meteorological Society, 148 (742). pp. 351-377. ISSN 1477-870X doi:


Clare, M. C. A. ORCID:, Wallwork, J. G., Kramer, S. C., Weller, H., Cotter, C. J. and Piggott, M. D. (2021) Multi-scale hydro-morphodynamic modelling using mesh movement methods. GEM - International Journal on Geomathematics, 13 (1). ISSN 1869-2680 doi:


Weller, H., McIntyre, W. ORCID: and Shipley, D. (2020) Multi-fluids for representing sub-grid-scale convection. Journal of Advances in Modeling Earth Systems, 12 (8). e2019MS001966. ISSN 1942-2466 doi:

McIntyre, W. A., Weller, H. and Holloway, C. E. ORCID: (2020) Numerical methods for entrainment and detrainment in the multi-fluid Euler equations for convection. Quarterly Journal of the Royal Meteorological Society, 146 (728). pp. 1106-1120. ISSN 1477-870X doi:


Weller, H. and McIntyre, W. A. (2019) Numerical solution of the conditionally averaged equations for representing net mass flux due to convection. Quarterly Journal of the Royal Meteorological Society, 145 (721). pp. 1337-1353. ISSN 1477-870X doi:


Thuburn, J., Weller, H., Vallis, G. K., Beare, R. J. and Whitall, M. (2018) A framework for convection and boundary layer parameterization derived from conditional filtering. Journal of the Atmospheric Sciences, 75 (3). pp. 965-981. ISSN 1520-0469 doi:


Chen, Y., Weller, H., Pring, S. and Shaw, J. (2017) Comparison of dimensionally-split and multi-dimensional atmospheric transport schemes for long time-steps. Quarterly Journal of the Royal Meteorological Society, 143 (708). pp. 2764-2779. ISSN 1477-870X doi:

Shaw, J., Weller, H., Methven, J. ORCID: and Davies, T. (2017) Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes. Journal of Computational Physics, 344. pp. 86-107. ISSN 0021-9991 doi:


Shaw, J. and Weller, H. (2016) Comparison of terrain following and cut cell grids using a non-hydrostatic model. Monthly Weather Review, 144 (6). pp. 2085-2099. ISSN 0027-0644 doi:

Weller, H., Browne, P., Budd, C. and Cullen, M. (2016) Mesh adaptation on the sphere using optimal transport and the numerical solution of a Monge-Ampère type equation. Journal of Computational Physics, 308. pp. 102-123. ISSN 0021-9991 doi:


Lock, S.-J., Wood, N. and Weller, H. (2014) Numerical analyses of Runge–Kutta implicit–explicit schemes for horizontally explicit, vertically implicit solutions of atmospheric models. Quarterly Journal of the Royal Meteorological Society, 140 (682). pp. 1654-1669. ISSN 1477-870X doi:

Weller, H. and Shahrokhi, A. (2014) Curl free pressure gradients over orography in a solution of the fully compressible Euler equations with implicit treatment of acoustic and gravity waves. Monthly Weather Review, 142 (12). pp. 4439-4457. ISSN 1520-0493 doi:


Weller, H. (2013) Non-orthogonal version of the arbitrary polygonal C-grid and a new diamond grid. Geoscientific Model Development, 7. pp. 779-797. ISSN 1991-959X doi:

Weller, H., Lock, S.-J. and Wood, N. (2013) Runge-Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations. Journal of Computational Physics, 252. pp. 365-381. ISSN 0021-9991 doi:


Weller, H. (2012) Controlling the computational modes of the arbitrarily structured C-grid. Monthly Weather Review, 140 (10). pp. 3220-3234. ISSN 1520-0493 doi:

Weller, H., Thuburn, J. and Cotter, C. J. (2012) Computational modes and grid imprinting on five quasi-uniform spherical C-grids. Monthly Weather Review, 140 (8). pp. 2734-2755. ISSN 1520-0493 doi:

Lloyd, J., Guilyardi, E. and Weller, H. (2012) The role of atmosphere feedbacks during ENSO in the CMIP3 models. Part III: the shortwave flux feedback. Journal of Climate, 25 (12). pp. 4275-4293. ISSN 1520-0442 doi:


Lloyd, J., Guilyardi, E. and Weller, H. (2011) The role of atmosphere feedbacks during ENSO in the CMIP3 models. Part II: using AMIP runs to understand the heat flux feedback mechanisms. Climate Dynamics, 37 (7-8). pp. 1271-1292. ISSN 0930-7575 doi:

Klingaman, N. P. ORCID:, Woolnough, S. J. ORCID:, Weller, H. and Slingo, J. M. (2011) The impact of finer-resolution air-sea coupling on the intraseasonal oscillation of the Indian monsoon. Journal of Climate, 24 (10). pp. 2451-2468. ISSN 1520-0442 doi:


Weller, H., Ringler, T., Piggott, M. and Wood, N. (2010) Challenges facing adaptive mesh modeling of the atmosphere and ocean. Bulletin of the American Meteorological Society, 91 (1). pp. 105-108. ISSN 1520-0477 doi:


Weller, H., Weller, H. G. and Fournier, A. (2009) Voronoi, Delaunay, and Block-Structured Mesh Refinement for Solution of the Shallow-Water Equations on the Sphere. Monthly Weather Review, 137 (12). pp. 4208-4224. ISSN 0027-0644 doi:

Weller, H. (2009) Predicting mesh density for adaptive modelling of the global atmosphere. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367 (1907). pp. 4523-4542. ISSN 1364-503X doi:

Nutt, D. R. and Weller, H. (2009) Algorithm for generating defective graphene sheets. Journal of Chemical Theory and Computation, 5 (7). pp. 1877-1882. ISSN 1549-9618 doi:

Slingo, J. M., Bates, K., Nikiforakis, N., Piggott, M., Roberts, M., Shaffrey, L., Stevens, I., Vidale, P. L. and Weller, H. (2009) Developing the next-generation climate system models: challenges and achievements. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367 (1890). pp. 815-831. ISSN 1364-503X doi:

Klingaman, N. P. ORCID:, Weller, H., Woolnough, S. J. ORCID:, Inness, P. M. and Slingo, J. M. (2009) Coupled simulations of the Indian monsoon intraseasonal oscillation using a fine-resolution mixed-layer ocean model. In: ECMWF Workshop on Ocean-Atmosphere Interactions, 10-12 Nov 2008, Reading, pp. 195-205.

Challinor, A., Osborne, T. M., Morse, A., Shaffrey, L. C. ORCID:, Wheeler, T. R., Weller, H. and Vidale, P. L. (2009) Methods and resources for climate impacts research: achieving synergy. Bulletin of the American Meteorological Society, 90 (6). pp. 836-848. ISSN 1520-0477 doi:

Lloyd, J., Guilyardi, E., Weller, H. and Slingo, J. M. (2009) The role of atmosphere feedbacks during ENSO in the CMIP3 models. Atmospheric Science Letters, 10 (3). pp. 170-176. ISSN 1530-261X doi:


Klingaman, N. P. ORCID:, Inness, P.M., Weller, H. and Slingo, J.M. (2008) The Importance of High-Frequency Sea Surface Temperature Variability to the Intraseasonal Oscillation of Indian Monsoon Rainfall. Journal of Climate, 21 (23). pp. 6119-6140. ISSN 1520-0442 doi:

Klingaman, N. P. ORCID:, Weller, H., Slingo, J.M. and Inness, P.M. (2008) The intraseasonal variability of the Indian summer monsoon using TMI sea surface temperatures and ECMWF reanalysis. Journal of Climate, 21 (11). pp. 2519-2539. ISSN 1520-0442 doi:

Weller, H. and Weller, H. G. (2008) A high-order arbitrarily unstructured finite-volume model of the global atmosphere: tests solving the shallow-water equations. International Journal for Numerical Methods in Fluids, 56 (8). pp. 1589-1596. ISSN 0271-2091 doi:


Spencer, H., Sutton, R. ORCID: and Slingo, J.M. (2007) El Nino in a Coupled Climate Model: Sensitivity to changes in mean state induced by heat flux and wind stress corrections. Journal of Climate, 20 (10). pp. 2273-2298. ISSN 1520-0442 doi:


Lengaigne, M., Boulanger, J. P., Menkes, C. and Spencer, H. (2006) Influence of the seasonal cycle on the termination of El Nino events in a coupled general circulation model. Journal Of Climate, 19 (9). pp. 1850-1868. ISSN 1520-0442

Johns, T. C., Durman, C. F., Banks, H. T., Roberts, M. J., McLaren, A. J., Ridley, J. K., Senior, C. A., Williams, K. D., Jones, A., Rickard, G. J., Cusack, S., Ingram, W. J., Crucifix, M., Sexton, D. M. H., Joshi, M. M., Dong, B. W. ORCID:, Spencer, H., Hill, R. S. R., Gregory, J. M., Keen, A.B., Pardaens, A. K., Lowe, J. A., Bodas-Salcedo, A., Stark, S. and Searl, Y. (2006) The new Hadley Centre climate model HadGEM1: evaluation of coupled simulations. Journal Of Climate, 19. pp. 1327-1353. ISSN 1520-0442


Spencer, H., Sutton, R. T. ORCID:, Slingo, J. M., Roberts, M. and Black, E. ORCID: (2005) Indian Ocean climate and dipole variability in Hadley Centre coupled GCMs. Journal Of Climate, 18 (13). pp. 2286-2307. ISSN 1520-0442

Slingo, J., Spencer, H., Hoskins, B., Berrisford, P. and Black, E. ORCID: (2005) The meteorology of the Western Indian Ocean, and the influence of the east African highlands. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 363 (1826). pp. 25-42. ISSN 1364-503X doi:


Spencer, H. (2004) Role of the atmosphere in the seasonal phase locking of El Nino. Geophysical Research Letters, 31 (5). L24104. ISSN 0094-8276 doi:

Spencer, H., Slingo, J. M. and Davey, M. K. (2004) Seasonal predictability of ENSO teleconnections: the role of the remote ocean response. Climate Dynamics, 22 (5). pp. 511-526.


Slingo, J.M., Guilyardi, E., Hodges, K.I., Hoskins, B.J., Inness, P.M., Lawrence, D.M., Neale, R., Osborne, T.M., Spencer, H. and Yang, G.Y. ORCID:, (2003) How good is the Hadley Centre climate model? Research at CGAM on identifying and understanding model systematic errors: 1999-2002 - CGAM/NCAS Report. Technical Report. UNSPECIFIED

Spencer, H. and Slingo, J. M. (2003) The simulation of peak and delayed ENSO teleconnections. Journal of Climate, 16 (11). pp. 1757-1774. ISSN 0894-8755 doi:<1757:TSOPAD>2.0.CO;2

This list was generated on Thu Apr 25 04:19:09 2024 UTC.

Last update: 9th November 2023



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