Paul Dellar's papers (and a cartoon borrowed from APS News) APS News Cartoon

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.

P. J. Dellar (2008) Two routes from the Boltzmann equation to compressible flow of polyatomic gases Progress in Computational Fluid Dynamics
8 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