Oxford Centre for Industrial and Applied Mathematics (OCIAM)

Mathematical Institute

Radcliffe Observatory Quarter




Paul J. Dellar

University Lecturer

Fellow of Corpus Christi College

Picture of me






+44 1865 276775

+44 1865 615164


Teaching Information

Course page for MMathPhys Advanced Fluid Dynamics, lectures for HT21 at 10–11 and 5–6 on Mondays of weeks 1–3 via Zoom

Lecture notes, suggested reading, and problem sheet for Part 1 of MMathPhys Kinetic Theory (here)

Research Interests

Lattice Boltzmann methods and kinetic theory

Magnetohydrodynamics and plasma physics

Geophysical fluid dynamics

Variational and Hamiltonian methods in hydrodynamics

Scientific computation and applications of GPUs

Industrial applied mathematics through the "study group" format

Recent and Forthcoming Seminars

15 November 2013, seminar at MACSI, University of Limerick, A lattice Boltzmann formulation for viscoelastic fluids and implementation on GPUs

30 October 2013, Oxford Many-Core seminar, Experiences with porting spectral and lattice Boltzmann fluids codes using CUDA Fortran

Recent and Forthcoming Meetings

4 November 2013, Centre for Innovation: Accelerating research for Industry Event at UCL about the Emerald GPU cluster

6 to 9 August 2013, International Workshop on Applied Mathematics in Multi-Scale and Multi-Physics Problems, Tianjin University

22 to 26 July 2013, 10th International Conference for Mesoscopic Methods in Engineering and Science (ICMMES 2013) at St Anne's CollegeOxford

15 to 19 July 2013, 22nd Discrete Simulation of Fluid Dynamics (DSFD) Conference, Yerevan, Armenia

Recent papers (with a full list here)

P. J. Dellar (2019) Relativistic properties and invariants of the Du Fort–Frankel scheme for the one-dimensional Schrödinger equation J. Comput. Phys. X 2 (2019) 100004 (reprint)

E. S. Warneford & P. J. Dellar (2017) Super- and sub-rotating equatorial jets in shallow water models of Jovian atmospheres: Newtonian cooling versus Rayleigh friction J. Fluid Mech. 822 484–511 (reprint

 J. T. Parker,  E. G. Highcock, A. A. Schekochihin & P. J. Dellar (2016) Suppression of phase mixing in drift-kinetic plasma turbulence Phys. Plasmas 23 070703   arXiv:1603.06968

A. A. Schekochihin, J. T. Parker, E. G. Highcock, P. J. Dellar, W. Dorland & G. W. Hammett (2016) Phase mixing versus nonlinear advection in drift-kinetic plasma turbulence J. Plasma Phys. 82 905820212  arXiv:1508.05988

A. L. Stewart & P. J. Dellar (2016)
An energy and potential enstrophy conserving numerical scheme for the multi-layer shallow water equations with complete Coriolis force J. Comput. Phys 313 99–120 (reprint)

P. J. Dellar (2015) Quantum lattice algorithms: similarities and connections to some classic finite difference algorithms ESAIM Proc. 52 76–104

J. T. Parker & P. J. Dellar (2015) Fourier–Hermite spectral representation for the Vlasov–Poisson system in the weakly collisional limit, J. Plasma Phys. 81 305810203
(preprint, 8.7MB)

P. J. Dellar (2014) Lattice Boltzmann formulation for linear viscoelastic fluids using an abstract second stress, SIAM J. Sci. Comput.
36 A2507–A2532 (reprint)

A. L. Stewart, P. J. Dellar & E. R. Johnson (2014) Large-amplitude coastal shelf waves, in Modelling Atmospheric and Oceanic Flows: Insights from Laboratory Experiments and Numerical Simulations, edited by T. von Larcher and P. D. Williams, AGU/Wiley (Google Books)

E. S. Warneford & P. J. Dellar (2014) Thermal shallow water models of geostrophic turbulence in Jovian atmospheres Phys. Fluids 26 016603 (reprint

P. J. Dellar (2014) Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices J. Comput. Phys. 259 270–283 (reprint)

A. L. Stewart & P. J. Dellar (2013) Multilayer shallow water equations with complete Coriolis force. Part 3. Hyperbolicity and stability under shear
J. Fluid Mech. 723 289–317 (reprint)

E. S. Warneford & P. J. Dellar (2013)
The quasi-geostrophic theory of the thermal shallow water equations The quasi-geostrophic theory of the thermal shallow water equation Tt J. Fluid Mech. 723 374–403 (reprint)

P. J. Dellar (2013) Moment-based boundary conditions for lattice Boltzmann magnetohydrodynamics,
in Numerical Mathematics and Advanced Applications 2011, edited by A. Cangiani et al, Springer. (reprint)

P. J. Dellar (2013) An interpretation and derivation of the lattice Boltzmann method using Strang splitting Comput. Math. Applic. 65 129–141

P. J. Dellar (2013) Lattice Boltzmann magnetohydrodynamics with current-dependent resistivity  J. Comput. Phys. 237 115–131