Oxford Centre for Industrial and Applied Mathematics (OCIAM)

Mathematical Institute

Radcliffe Observatory Quarter

Oxford

OX2 6GG

UK

Paul J. Dellar

University Lecturer

Fellow of Corpus Christi College
Picture of me

 

Phone:

Fax:

E-mail:

 

+44 1865 276775

+44 1865 615164

dellar@maths.ox.ac.uk

Teaching Information

Lecture notes (last updated 16th January 2023) and problem sheet for Part 1 of MMathPhys Advanced Fluid Dynamics (course page)

Lectures for HT25 are 10–11 on Mondays and 12–1 on Tuesdays in the Lindemann Lecture Theatre

The class will be 4–6pm on Friday of 7th week (7th March 2025) in the Lindemann Lecture Theatre.

Homework is due by 11:59pm on Friday of 6th week (28th February 2025). Please hand in work via the course page on Canvas.
In case of problems, please email a scan to the TA and cc to mmathphys@maths.ox.ac.uk

In HT25 Complex and non-Newtonian Fluids was lectured in weeks 2 to 4. Resources for this part of the course are 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 College,  Oxford

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 (2025) A projection method to symmetrize the momentum flux in a vector lattice Boltzmann formulation of hydrodynamics Phys. Fluids doi:10.1063/5.0268328

P. J. Dellar (2025) A quantum lattice algorithm with fourth-order accuracy for the one-dimensional Dirac equation  J. Comput. Phys. 533 113991
 
P. J. Dellar (2025) Lattice Boltzmann formulation for eight-wave magnetohydrodynamics  AIAA J. 63 583–597 (reprint)

P. J. Dellar (2024) A magic two-relaxation-time lattice Boltzmann algorithm for magnetohydrodynamics  Discrete & Continuous Dynamical Systems Series S 17 3155–3173 (reprint)

P. J. Dellar (2023) Hyperbolic divergence cleaning in lattice Boltzmann magnetohydrodynamics Commun. Comput. Phys. 33 245–272 (reprint)

P. J. Dellar (2022) Vector lattice Boltzmann equations: From magnetohydrodynamics to active matter, in Progress in Industrial Mathematics at ECMI 2021, pages 407–416, Springer (preprint)

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 100004 (reprint)