Profile

Prof David Dritschel

Prof David Dritschel
Professor


 

source: symbiosis

 

Research Overview:

I have sought to combine theoretical analysis and numerical computation in the study of fundamental aspects of atmospheric and oceanic fluid dynamics, in particular vortex dynamics. The atmosphere and oceans are hugely influenced by both the background planetary rotation as well as the density stratification. These effects, together with the shallow flow geometry (typical horizontal scales are 10 to 100 times larger than typical vertical scales), constrain the motion to be approximately layerwise two-dimensional. This means that vertical motion tends to be very weak compared to horizontal motion over much of the atmosphere and oceans, and stratification surfaces tend to be nearly flat. On these surfaces, a scalar quantity called the "potential vorticity" is often, to a good approximation, conserved following fluid "particles". That is, the potential vorticity (PV) is advected or transported by the nearly horizontal flow on these surfaces.


I have developed a series of lagrangian or partly-lagrangian numerical methods that allow one to accurately conserve potential vorticity, something which is not easy to do using commonly-used numerical methods. These methods have permitted a careful investigation of a range of fundamental processes, including vortex filamentation, stripping, merging, splitting, collapsing, etc, mainly in two-dimensional (height-independent) flows but recently also in three-dimensional flows . Further recent numerical developments have also permitted a careful assessment of the role of gravity waves in single-layer shallow-water flows and internal gravity waves in two- and three-dimensional Boussinesq (ocean-like) flows.


Current research is aimed at building more realistic atmospheric and oceanic models based in part on the numerical methods above, and in collaboration with the European Centre for Medium-range Weather Forecasting and the UK Meteorological Office.


For further information, see the Vortex Dynamics Research Group

 

 

50 (of 163 /dk/atira/pure/researchoutput/status/published available) for dgd1 (source: University of St Andrews PURE)
Please click title of any item for full details

Velocity-pressure correlation in Navier-Stokes flows and the problem of global regularity Chuong Van Tran, Xinwei Yu, David Gerard Dritschel
Journal of Fluid Mechanics 2021 vol. 911
N-symmetric interaction of N hetons. Part I. Analysis of the case N = 2 Mikhail Sokolovskiy, Konstantin Koshel, David Gerard Dritschel, Jean Noel Reinaud
Physics of Fluids 2020 vol. 32
Equilibria and stability of four point vortices on a sphere David Gerard Dritschel
Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences 2020 vol. 476
Fermion self-trapping in the optical geometry of Einstein-Dirac solitons Chris Hooley, Keith Douglas Horne, David Gerard Dritschel
Physical Review D - Particles, Fields, Gravitation and Cosmology 2020 vol. 101
On the regularity of the Green–Naghdi equations – CORRIGENDUM David Gerard Dritschel, Mohammad Reza Jalali
Journal of Fluid Mechanics 2020 vol. 900
Stability and evolution of two opposite-signed quasi-geostrophic shallow-water vortex patches M. M. Jalali, David Gerard Dritschel
Geophysical & Astrophysical Fluid Dynamics 2020 vol. 114 pp. 561-587
The Ekman spiral for piecewise-uniform viscosity David Gerard Dritschel, Nathan Paldor, Adrian Constantin
Ocean Science 2020 vol. 16 pp. 1089–1093
The deflection angle between a wind-forced surface current and the overlying wind in an ocean with vertically varying eddy viscosity Adrian Constantin, David Gerard Dritschel, Nathan Paldor
Physics of Fluids 2020 vol. 32
The validity of two-dimensional models of a rotating shallow fluid layer David Gerard Dritschel, Mohammad Reza Jalali
Journal of Fluid Mechanics 2020 vol. 900
Imperfect bifurcation for the quasi-geostrophic shallow-water equations David Gerard Dritschel, Taoufik Hmidi, Coralie Renault
Archive for Rational Mechanics and Analysis 2019 vol. 231 pp. 1853-1915
Long frontal waves and dynamic scaling in freely evolving equivalent barotropic flow Helen Burgess, David Gerard Dritschel
Journal of Fluid Mechanics 2019 vol. 866
On the regularity of the Green-Naghdi equations for a rotating shallow fluid layer David Gerard Dritschel, Mohammad Reza Jalali
Journal of Fluid Mechanics 2019 vol. 865 pp. 100-136
Point mass dynamics on spherical hypersurfaces David Gerard Dritschel
Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences 2019 vol. 377 pp. 1-11
Scale-invariant singularity of the surface quasigeostrophic patch Richard Kirkness Scott, David Gerard Dritschel
Journal of Fluid Mechanics 2019 vol. 863
The stability and nonlinear evolution of quasi-geostrophic toroidal vortices Jean Noel Reinaud, David Gerard Dritschel
Journal of Fluid Mechanics 2019 vol. 863 pp. 60-78
Zonal jet formation by potential vorticity mixing at large and small scales Richard Kirkness Scott, David Gerard Dritschel
2019 pp. 238-246
Circulation conservation and vortex breakup in magnetohydrodynamics at low magnetic Prandtl number David Gerard Dritschel, P.H. Diamond, S.M. Tobias
Journal of Fluid Mechanics 2018 vol. 857 pp. 38-60
Modeling subsurface hydrology in floodplains David Gerard Dritschel, Michael Bliss Singer
Water Resources Research 2018 vol. 54 pp. 1428-1459
The merger of geophysical vortices at finite Rossby and Froude number Jean Noel Reinaud, David Gerard Dritschel
Journal of Fluid Mechanics 2018 vol. 848 pp. 388-410
Comparison of variational balance models for the rotating shallow water equations David Gerard Dritschel, Georg Gottwald, Marcel Oliver
Journal of Fluid Mechanics 2017 vol. 822 pp. 689-716
Extended scale invariance in the vortices of freely evolving two-dimensional turbulence Helen Burgess, David Gerard Dritschel, Richard Kirkness Scott
Physical Review Fluids 2017 vol. 2
Interaction between a quasi-geostrophic buoyancy filament and a heton Jean Noel Reinaud, Xavier Carton, David Gerard Dritschel
Fluids 2017 vol. 2
Interaction between a surface quasi-geostrophic buoyancy anomaly jet and internal vortices Jean Noel Reinaud, David Gerard Dritschel, Xavier Carton
Physics of Fluids 2017 vol. 29
On the energetics of a two-layer baroclinic flow David Gerard Dritschel
Journal of Fluid Mechanics 2017 vol. 816 pp. 586-618
The characteristics of billows generated by internal solitary waves Magda Carr, James Franklin, Stuart Edward King, Peter Davies, John Grue, David Gerard Dritschel
Journal of Fluid Mechanics 2017 vol. 812 pp. 541-577
Vortex scaling ranges in two-dimensional turbulence Helen Burgess, David Gerard Dritschel, Richard Kirkness Scott
Physics of Fluids 2017 vol. 29
Balanced solutions for an ellipsoidal vortex in a rotating stratified flow William Joseph McKiver, David Gerard Dritschel
Journal of Fluid Mechanics 2016 vol. 802 pp. 333-358
Interaction between a surface quasi-geostrophic buoyancy filament and an internal vortex Jean Noel Reinaud, David Gerard Dritschel, Xavier Carton
Geophysical and Astrophysical Fluid Dynamics 2016 vol. 110 pp. 461-490
Models of interacting pairs of thin, quasi-geostrophic vortices: steady-state solutions and nonlinear stability Matteo Bersanelli, David Gerard Dritschel, Carlo Lancellotti, Andrew C. Poje
Geophysical and Astrophysical Fluid Dynamics 2016 vol. 110 pp. 491-517
N-body dynamics on closed surfaces Stefanella Boatto, David Gerard Dritschel, Rodrigo G Schaefer
Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences 2016 vol. 472 pp. 1-20
Toward a PV-based algorithm for the dynamical core of hydrostatic global models Ali R. Mohebalhojeh, Mohammad Joghataei, David Gerard Dritschel
Monthly Weather Review 2016 vol. 144 pp. 2481-2502
Effect of Prandtl's ration on balance in geophysical turbulence David Gerard Dritschel, William Joseph McKiver
Journal of Fluid Mechanics 2015 vol. 777 pp. 569-590
Ellipsoidal vortices in rotating stratified fluids Yue-kin Tsang, David Gerard Dritschel
Journal of Fluid Mechanics 2015 vol. 762 pp. 196-231
Ergodicity and spectral cascades in point vortex flows on the sphere David Gerard Dritschel, M. Lucia, A.C. Poje
Physical Review. E, Statistical, nonlinear, and soft matter physics 2015 vol. 91
On the late-time behaviour of a bounded, inviscid two-dimensional flow David Gerard Dritschel, Wanming Qi, J.B. Marston
Journal of Fluid Mechanics 2015 vol. 783 pp. 1-22
The motion of point vortices on closed surfaces David Gerard Dritschel, S Boatto
Proceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences 2015 vol. 471 pp. 1-25
Numerical simulation of a self-similar cascade of filament instabilities in the surface quasigeostrophic system Richard Kirkness Scott, David Gerard Dritschel
Physical Review Letters 2014 vol. 112 pp. 1-5
On the equilibration of asymmetric barotropic instability Nili Harnik, David Gerard Dritschel, Eyal Heifetz
Quarterly Journal of the Royal Meteorological Society 2014 vol. 140 pp. 2444-2464
Simply-connected vortex-patch shallow-water quasi-equilibria David Gerard Dritschel
Journal of Fluid Mechanics 2014 vol. 743 pp. 481-502
Halting scale and energy equilibration in two-dimensional quasigeostrophic turbulence Richard Kirkness Scott, David Gerard Dritschel
Journal of Fluid Mechanics 2013 vol. 721
Quasi-geostrophic shallow-water doubly-connected vortex equilibria and their stability David Gerard Dritschel
Journal of Fluid Mechanics 2013 vol. 723 pp. 40-68
The effect of slip length on vortex rebound from a rigid boundary C. Macaskill, David Gerard Dritschel
Physics of Fluids 2013 vol. 25
Vortical control of forced two-dimensional turbulence Jerome Jacob Louis Fontane, David Gerard Dritschel, Richard Kirkness Scott
Physics of Fluids 2013 vol. 25
Waves and turbulence David Gerard Dritschel
2013 vol. 8 pp. 85-93
Flow-topography interactions in shallow-water turbulence David Gerard Dritschel
Geophysical and Astrophysical Fluid Dynamics 2012 vol. 106 pp. 45-66
Instability in internal solitary waves with trapped cores Magda Carr, Stuart Edward King, David Gerard Dritschel
Physics of Fluids 2012 vol. 24
Quasi-geostrophic shallow-water vortex–patch equilibria and their stability David Gerard Dritschel
Geophysical and Astrophysical Fluid Dynamics 2012 vol. 106 pp. 574-595
The structure of zonal jets in geostrophic turbulence Richard Kirkness Scott, David Gerard Dritschel
Journal of Fluid Mechanics 2012 vol. 711 pp. 576-598
Two-dimensional magnetohydrodynamic turbulence in the small magnetic Prandtl number limit David Gerard Dritschel, Steve Tobias
Journal of Fluid Mechanics 2012 vol. 703 pp. 85-98

Contact Details:

Prof David Dritschel
Mathematical Institute
University of St Andrews
North Haugh
St Andrews
University of St Andrews
Fife
UK

tel: 01334 46 3721
fax:
room:
email: dgd1@st-andrews.ac.uk

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