Paul Dellar's papers (and a cartoon borrowed from APS News) 
P. J.
Dellar (2023)
A
magic
two-relaxation-time
lattice Boltzmann
algorithm for
magnetohydrodynamics
Discrete &
Continuous Dynamical
Systems Series S doi:10.3934/dcdss.2023157
(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
(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
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 & P.
D. Williams,
AGU/Wiley (Google
Books, preprint)
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 (preprint)
E. S. Warneford & P. J. Dellar (2013) The
quasi-geostrophic theory of the thermal shallow water equations,
J.
Fluid Mech. 723 374-403 (preprint)
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
T. Reis & P. J. Dellar (2012) Lattice Boltzmann simulations
of pressure-driven flows in microchannels using Navier-Maxwell
slip boundary conditions Phys. Fluids 24
112001
A. L. Stewart & P. J. Dellar (2012) Cross-equatorial channel flow with zero potential
vorticity under the complete Coriolis force IMA
J.
Appl. Math. 77 626-651
S. Bennett, P. Asinari & P. J. Dellar (2012) A lattice Boltzmann model for
diffusion of binary gas mixtures that includes diffusion slip
Int.
J.
Num. Meth. Fluids 69
171-189
A. L. Stewart & P. J. Dellar (2012) Multilayer shallow water equations with complete
Coriolis force. Part 2. Linear plane waves J.
Fluid
Mech. 690 16-50
P. J. Dellar (2011) An exact energy conservation property
of the quantum lattice Boltzmann algorithm Phys.
Lett.
A
376 6-13
A. L. Stewart & P. J.
Dellar (2011) Cross-equatorial
flow through an abyssal channel under the complete Coriolis
force: two-dimensional solutions Ocean
Modelling 40 87-104
P. J. Dellar, D. Lapitski, S. Palpacelli & S. Succi (2011) Isotropy of three-dimensional
quantum lattice Boltzmann schemes Phys.
Rev. E 83 046706
D. Lapitski & P. J. Dellar (2011) Convergence of a
three-dimensional quantum lattice Boltzmann scheme towards
solutions of the Dirac equation Phil.
Trans. R. Soc. Lond. A 369,
2155-2163
A. L. Stewart & P. J. Dellar
(2011) The rôle of the
complete Coriolis force in cross-equatorial flow of abyssal
ocean currents Ocean
Modelling 38 187-202
P. J. Dellar (2011) Variations on a beta-plane:
derivation of non-traditional beta-plane equations from
Hamilton's principle on a sphere J.
Fluid Mech. 674 174-195
T. Reis & P. J. Dellar (2011) A volume-preserving sharpening
approach for the propagation of sharp phase boundaries in
multiphase lattice Boltzmann simulations Computers & Fluids 46 417-421
P. J. Dellar (2011) Lattice
Boltzmann
formulation for Braginskii magnetohydrodynamics
Computers & Fluids 46 201-205
A. L. Stewart, P. J. Dellar & E. R. Johnson (2011) Numerical simulation of wave
propagation along a discontinuity in depth in a rotating annulus
Computers & Fluids 46 442-447
P. J. Dellar (2011) Planar
channel flow in Braginskii magnetohydrodynamics J.
Fluid Mech. 667 520-543
P. J. Dellar (2010) Electromagnetic waves in lattice Boltzmann
magnetohydrodynamics Europhys.
Lett. 90 50002
A. L. Stewart & P. J. Dellar (2010) Multilayer
shallow water equations with complete Coriolis force. Part I:
Derivation on a non-traditional beta-plane J. Fluid
Mech. 651 387-413
A. L. Stewart & P. J.
Dellar (2010) Two-layer shallow water equations
with complete Coriolis force and topography ECMI
2008 Proceedings (Springer)
P. J. Dellar (2009) Moment equations in
magnetohydrodynamics J.
Stat.
Mech. P06003
P. J. Dellar (2008) Two routes
from the Boltzmann equation to compressible flow of polyatomic
gases Progress in
Computational Fluid Dynamics8
84-96
P. J. Dellar (2007) Macroscopic
descriptions of rarefied gases from the elimination of fast
variables Phys. Fluids
19 107101
P. J. Dellar (2006) Non-hydrodynamic
modes
and general equations of state in lattice Boltzmann equations
Physica
A 326, 132-138
P. J. Dellar and R. Salmon (2005) Shallow water equations with a
complete Coriolis force and topography Phys. Fluids
17, 106601
P. J. Dellar (2005) Lattice kinetic formulation for ferrofluids
J.
Statist. Phys. 121
105-118
F. Hendriks, B. S.
Tilley, J. Billingham, P. J. Dellar and R. Hinch (2005) Dynamics
of the oil-air interface in hard disk drive bearings
IEEE Transactions on
Magnetics 41, 2884 -
2886 (proceedings
of the InterMag 2005
conference).
P. J. Dellar (2005) Lattice and discrete Boltzmann equations
for fully compressible flow pages 632-635 of Computational
Fluid and Solid Mechanics 2005, Proceedings of The Third MIT
Conference on Computational Fluid and Solid Mechanics,
edited by K. J. Bathe, published by Elsevier.
P. J. Dellar (2004) Quasi-two-dimensional liquid metal
magnetohydrodynamics and the anticipated vorticity method J.
Fluid Mech. 515 197-232
P. J. Dellar (2003) Incompressible
limits of lattice Boltzmann equations using multiple
relaxation times J.
Comput. Phys. 190 351-370
P. J. Dellar (2003) Dispersive
shallow water magnetohydrodynamics Phys. Plasmas 10
581-590
P. J. Dellar (2003) Common
Hamiltonian structure of the shallow water equations with
horizontal temperature gradients and magnetic fields
Phys. Fluids 15
292-297
P. J. Dellar (2002) Lattice
kinetic schemes for magnetohydrodynamics
J.
Comput. Phys. 179 95-126
P. J. Dellar (2002) Hamiltonian and
symmetric hyperbolic structures of shallow water
magnetohydrodynamics Phys. Plasmas 9
1130-1136
P. J. Dellar (2002) Compound waves
in a thermohydrodynamic lattice BGK scheme using
non-perturbative equilibria Europhysics
Letters 57 690-696
P. J. Dellar (2002) Non-hydrodynamic
modes and a priori construction of shallow water
lattice Boltzmann equations Phys. Rev.
E 65 036309 (12 pages)
P. J. Dellar (2001) Bulk and shear
viscosities in lattice Boltzmann equations
Phys.
Rev. E 64 031203 (11 pages)
P. J. Dellar (2001) A note on
magnetic monopoles and the one dimensional MHD Riemann
problem J.
Comput. Phys. 172 392-398
J. R. Lister and P. J. Dellar (1996) Solidification
of pressure-driven flow in a finite rigid channel with
application to volcanic eruptions J. Fluid
Mech. 323 267-283