Edit Profile (opens in new tab) Dritschel, David Gerard Co-Author Distance Author ID: dritschel.david-g Published as: Dritschel, David G.; Dritschel, D. G.; Dritschel, David; Dritschel, D.; Dritschel, David Gerard more...less External Links: MGP Documents Indexed: 118 Publications since 1985 6 Contributions as Editor Co-Authors: 67 Co-Authors with 102 Joint Publications 834 Co-Co-Authors all top 5 Co-Authors 22 single-authored 15 Reinaud, Jean N. 12 Scott, Richard K. 7 Legras, Bernard 7 Tran, Chuong V. 6 Viúdez, Álvaro 5 Carr, Magda 5 McKiver, William J. 4 Carton, Xavier J. 4 King, Stuart E. 4 Zabusky, Norman J. 3 Burgess, B. H. 3 Fontane, Jérôme 3 Frey, Matthias 3 Jalali, Mohammad Reza 3 Macaskill, Charlie 3 Płotka, Hanna 3 Tobias, Steven M. 2 Boatto, Stefanella 2 Böing, Steven 2 de la Torre Juárez, Manuel 2 Gottwald, Georg A. 2 Jalali, M. M. 2 Nycander, Jonas 2 Özuğurlu, Ersin 2 Polvani, Lorenzo M. 1 Ambaum, Maarten H. P. 1 Bambrey, Ross R. 1 Barenghi, Carlo F. 1 Benilov, Eugene S. 1 Billant, Paul 1 Caillol, Philippe 1 Chérubin, Laurent M. 1 Chomaz, Jean-Marc 1 Davies, Peter A. 1 Diamond, Patrick H. 1 Dritschel, Heidi J. 1 Franklin, James 1 Gagnon, Yves 1 Ghoniem, Ahmed F. 1 Gilbert, Andrew D. 1 Grue, John 1 Haynes, Peter H. 1 Hmidi, Taoufik 1 Jougla, Thibault 1 Juckes, M. N. 1 Koudella, C. R. 1 Lam, J. Sai-Lap 1 Lucas, Dan 1 Marston, J. B. 1 Meiburg, Eckart H. 1 Oliver, Marcel 1 Padden, W. E. P. 1 Perkins, Richard J. 1 Perrot, Xavier 1 Qi, Wanming 1 Renault, Coralie 1 Riccardi, Giorgio 1 Rogberg, Peter 1 Schaefer, Rodrigo G. 1 Shepherd, Theodore G. 1 Smith, Robert K. 1 Sokolovskiy, Mikhail A. 1 Stremler, Mark A. 1 Sutyrin, Georgi G. 1 Vanneste, Jacques 1 Waugh, D. W. 1 Yu, Xinwei all top 5 Serials 66 Journal of Fluid Mechanics 11 Journal of Computational Physics 9 Geophysical and Astrophysical Fluid Dynamics 9 Physics of Fluids 5 Physics of Fluids, A 4 Regular and Chaotic Dynamics 3 Journal of Computational Physics: X 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applied Scientific Research 1 Archive for Rational Mechanics and Analysis 1 Physica D 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 The Institute of Mathematics and Its Applications Conference Series. New Series 1 Proceedings A. Royal Society of London 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 117 Fluid mechanics (76-XX) 41 Geophysics (86-XX) 7 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 1,381 times in 653 Documents Cited by ▼ Year ▼ Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics. Zbl 0642.76025 Dritschel, David G. 102 1988 The stability and energetics of corotating uniform vortices. Zbl 0574.76026 Dritschel, David G. 74 1985 Wave and vortex dynamics on the surface of a sphere. Zbl 0793.76022 Polvani, Lorenzo M.; Dritschel, David G. 56 1993 A general theory for two-dimensional vortex interactions. Zbl 0854.76018 Dritschel, David G. 54 1995 The nonlinear evolution of rotating configurations of uniform vorticity. Zbl 0616.76069 Dritschel, David G. 42 1986 Vertical velocity in mesoscale geophysical flows. Zbl 1137.86304 Viúdez, Álvaro; Dritschel, David G. 32 2003 The motion of point vortices on closed surfaces. Zbl 1371.76042 Dritschel, D. G.; Boatto, S. 31 2015 Vortex stripping and the generation of high vorticity gradients in two- dimensional flows. Zbl 0778.76041 Legras, B.; Dritschel, D. 30 1993 Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three- dimensional quasi-geostrophic flows. Zbl 0643.76059 Dritschel, David G. 29 1988 The repeated filamentation of two-dimensional vorticity interfaces. Zbl 0645.76024 Dritschel, David G. 29 1988 A balanced approach to modelling rotating stably stratified geophysical flows. Zbl 1063.76656 Dritschel, David G.; Viúdez, Álvaro 29 2003 Vortex properties of two-dimensional turbulence. Zbl 0800.76208 Dritschel, David G. 29 1993 The shape of vortices in quasi-geostrophic turbulence. Zbl 1022.76025 Reinaud, J. N.; Dritschel, D. G.; Koudella, C. R. 27 2003 The stability of elliptical vortices in an external straining flow. Zbl 0686.76028 Dritschel, David G. 24 1990 The elliptical model of two-dimensional vortex dynamics. I: The basic state. Zbl 0733.76013 Legras, Bernard; Dritschel, David G. 23 1991 The merger of vertically offset quasi-geostrophic vortices. Zbl 1152.76347 Reinaud, J. N.; Dritschel, D. G. 22 2002 Contour dynamics/surgery on the sphere. Zbl 0655.76018 Dritschel, David G. 21 1988 The quasi-geostrophic ellipsoidal vortex model. Zbl 1067.76018 Dritschel, David G.; Reinaud, Jean N.; McKiver, William J. 21 2004 Vanishing enstrophy dissipation in two-dimensional Navier-Stokes turbulence in the inviscid limit. Zbl 1095.76028 Tran, Chuong V.; Dritschel, David G. 20 2006 Vortex merger in rotating stratified flows. Zbl 1028.76053 Dritschel, David G. 19 2002 The critical merger distance between two co-rotating quasi-geostrophic vortices. Zbl 1065.76093 Reinaud, Jean N.; Dritschel, David G. 19 2005 Generalized helical Beltrami flows in hydrodynamics and magnetohydrodynamics. Zbl 0724.76090 Dritschel, David G. 19 1991 The stability of a two-dimensional vorticity filament under uniform strain. Zbl 0728.76045 Dritschel, D. G.; Haynes, P. H.; Juckes, M. N.; Shepherd, T. G. 19 1991 The combined Lagrangian advection method. Zbl 1310.76124 Dritschel, David G.; Fontane, Jérôme 19 2010 The HyperCASL algorithm: a new approach to the numerical simulation of geophysical flows. Zbl 1261.86002 Fontane, Jérôme; Dritschel, David G. 18 2009 The roll-up of vorticity strips on the surface of a sphere. Zbl 0744.76061 Dritschel, David G.; Polvani, Lorenzo M. 18 1992 A comparison of the contour surgery and pseudo-spectral methods. Zbl 0784.76070 Legras, Bernard; Dritschel, David G. 17 1993 A fast contour dynamics method for many-vortex calculations in two- dimensional flows. Zbl 0766.76012 Dritschel, David G. 17 1993 On the simulation of nearly inviscid two-dimensional turbulence. Zbl 1159.76031 Dritschel, D. G.; Scott, R. K. 16 2009 Optimal potential vorticity balance of geophysical flows. Zbl 1065.76198 Viúdez, Álvaro; Dritschel, David G. 16 2004 The instability and breakdown of tall columnar vortices in a quasi-geostrophic fluid. Zbl 0893.76027 Dritschel, David G.; de la Torre Juárez, Manuel 16 1996 The structure of zonal jets in geostrophic turbulence. Zbl 1275.76132 Scott, Richard K.; Dritschel, David G. 16 2012 The elliptical model of two-dimensional vortex dynamics. II: Disturbance equations. Zbl 0733.76014 Dritschel, David G.; Legras, Bernard 15 1991 High gradient phenomena in two-dimensional vortex interactions. Zbl 1039.76504 Yao, H. B.; Zabusky, N. J.; Dritschel, D. G. 15 1995 On the nature of vortex interactions and models in unforced nearly-inviscid two-dimensional turbulence. Zbl 1086.76035 Dritschel, David G.; Zabusky, Norman J. 15 1996 The three-dimensional vortical nature of atmospheric and oceanic turbulent flows. Zbl 1147.76377 Dritschel, David G.; de la Torre Juárez, Manuel; Ambaum, Maarten H. P. 15 1999 On the late-time behaviour of a bounded, inviscid two-dimensional flow. Zbl 1382.76119 Dritschel, David G.; Qi, Wanming; Marston, J. B. 14 2015 Imperfect bifurcation for the quasi-geostrophic shallow-water equations. Zbl 1409.76036 Dritschel, David Gerard; Hmidi, Taoufik; Renault, Coralie 14 2019 On the persistence of non-axisymmetric vortices in inviscid two-dimensional flows. Zbl 0918.76010 Dritschel, David G. 13 1998 Revisiting Batchelor’s theory of two-dimensional turbulence. Zbl 1169.76351 Dritschel, David G.; Tran, Chuong V.; Scott, Richard K. 13 2007 An exact steadily rotating surface quasi-geostrophic elliptical vortex. Zbl 1521.76106 Dritschel, David G. 13 2011 Strong interactions between two corotating quasi-geostrophic vortices. Zbl 1128.76013 Bambrey, Ross R.; Reinaud, Jean N.; Dritschel, David G. 12 2007 Balance in non-hydrostatic rotating stratified turbulence. Zbl 1168.76328 McKiver, William J.; Dritschel, David G. 12 2008 The steady-state form of large-amplitude internal solitary waves. Zbl 1225.76061 King, Stuart E.; Carr, Magda; Dritschel, David G. 12 2011 The dynamics of long frontal waves in the shallow-water equations. Zbl 0793.76013 Nycander, J.; Dritschel, D. G.; Sutyrin, G. G. 11 1993 Spontaneous generation of inertia-gravity wave packets by balanced geophysical flows. Zbl 1087.76020 Viúdez, Álvaro; Dritschel, David G. 11 2006 The stability of quasi-geostrophic ellipsoidal vortices. Zbl 1122.76031 Dritschel, David G.; Scott, Richard K.; Reinaud, Jean N. 10 2005 Revisiting the Rossby-Haurwitz wave test case with contour advection. Zbl 1160.86305 Smith, Robert K.; Dritschel, David G. 10 2006 The stability of filamentary vorticity in two-dimensional geophysical vortex-dynamics models. Zbl 0728.76044 Waugh, D. W.; Dritschel, D. G. 10 1991 The motion of a fluid ellipsoid in a general linear background flow. Zbl 1065.76197 McKiver, William J.; Dritschel, David G. 10 2003 Interaction between two quasi-geostrophic vortices of unequal potential vorticity. Zbl 1133.76012 Özuğurlu, Ersin; Reinaud, Jean N.; Dritschel, David G. 9 2008 Late time evolution of unforced inviscid two-dimensional turbulence. Zbl 1183.76785 Dritschel, David G.; Scott, Richard K.; Macaskill, Charlie; Gottwald, Georg A.; Tran, Chuong V. 9 2009 The stability of a quasi-geostrophic ellipsoidal vortex in a background shear flow. Zbl 1122.76036 McKiver, William J.; Dritschel, David G. 9 2006 Numerical simulation of shear-induced instabilities in internal solitary waves. Zbl 1241.76100 Carr, Magda; King, Stuart E.; Dritschel, David G. 9 2011 Destructive interactions between two counter-rotating quasi-geostrophic vortices. Zbl 1183.76733 Reinaud, Jean N.; Dritschel, David G. 8 2009 Instability of a shallow-water potential-vorticity front. Zbl 1098.76031 Dritschel, David G.; Vanneste, Jacques 8 2006 Two-dimensional magnetohydrodynamic turbulence in the small magnetic Prandtl number limit. Zbl 1248.76153 Dritschel, David G.; Tobias, Steven M. 7 2012 A family of helically symmetric vortex equilibria. Zbl 1183.76655 Lucas, Dan; Dritschel, David G. 7 2009 The erosion of a distributed two-dimensional vortex in a background straining flow. Zbl 1097.76548 Legras, Bernard; Dritschel, David G.; Caillol, Philippe 7 2001 Balanced solutions for an ellipsoidal vortex in a rotating stratified flow. Zbl 1456.76137 McKiver, William J.; Dritschel, David G. 7 2016 The CASL algorithm for quasi-geostrophic flow in a cylinder. Zbl 1127.76316 Macaskill, C.; Padden, W. E. P.; Dritschel, D. G. 7 2003 Scale-invariant singularity of the surface quasigeostrophic patch. Zbl 1415.86002 Scott, R. K.; Dritschel, D. G. 7 2019 The merger of geophysical vortices at finite Rossby and Froude number. Zbl 1404.76062 Reinaud, Jean N.; Dritschel, David G. 7 2018 Jet sharpening by turbulent mixing. Zbl 1219.85007 Dritschel, D. G.; Scott, R. K. 6 2011 On the beta-drift of an initially circular vortex patch. Zbl 0992.76021 Lam, J. Sai-Lap; Dritschel, David G. 6 2001 Impeded inverse energy transfer in the Charney-Hasegawa-Mima model of quasi-geostrophic flows. Zbl 1088.76072 Tran, Chuong V.; Dritschel, David G. 6 2006 Bending and twisting instabilities of columnar elliptical vortices in a rotating strongly stratified fluid. Zbl 1157.76329 Billant, Paul; Dritschel, David G.; Chomaz, Jean-Marc 6 2006 \(N\)-body dynamics on closed surfaces: the axioms of mechanics. Zbl 1371.70035 Boatto, Stefanella; Dritschel, David G.; Schaefer, Rodrigo G. 6 2016 The characteristics of billows generated by internal solitary waves. Zbl 1383.76046 Carr, Magda; Franklin, James; King, Stuart E.; Davies, Peter A.; Grue, John; Dritschel, David G. 6 2017 Quasi-geostrophic shallow-water vortex-patch equilibria and their stability. Zbl 07649665 Płotka, Hanna; Dritschel, David G. 6 2012 Quasi-geostrophic shallow-water doubly-connected vortex equilibria and their stability. Zbl 1287.76112 Płotka, Hanna; Dritschel, David G. 6 2013 The persistence of balance in geophysical flows. Zbl 1111.76061 Dritschel, David G.; Viúdez, Álvaro 5 2007 On the regularity of the Green-Naghdi equations for a rotating shallow fluid layer. Zbl 1415.86005 Dritschel, David G.; Jalali, Mohammad Reza 5 2019 Energy dissipation and resolution of steep gradients in one-dimensional Burgers flows. Zbl 1188.76161 Tran, Chuong V.; Dritschel, David G. 4 2010 Large-scale dynamics in two-dimensional Euler and surface quasigeostrophic flows. Zbl 1146.76555 Tran, Chuong V.; Dritschel, David G. 4 2006 Instability in internal solitary waves with trapped cores. Zbl 1308.76127 Carr, M.; King, S. E.; Dritschel, D. G. 4 2012 An explicit potential-vorticity-conserving approach to modelling nonlinear internal gravity waves. Zbl 1112.76324 Viúdez, Álvaro; Dritschel, David G. 4 2002 The stability and nonlinear evolution of quasi-geostrophic toroidal vortices. Zbl 1415.86018 Reinaud, Jean N.; Dritschel, David G. 4 2019 Self-similar collapse of three vortices in the generalised Euler and quasi-geostrophic equations. Zbl 1495.76027 Reinaud, Jean N.; Dritschel, David G.; Scott, Richard K. 4 2022 Stability and evolution of two opposite-signed quasi-geostrophic shallow-water vortex patches. Zbl 1482.76030 Jalali, M. M.; Dritschel, D. G. 4 2020 Homostrophic vortex interaction under external strain, in a coupled QG-SQG model. Zbl 1229.86005 Perrot, X.; Reinaud, J. N.; Carton, X.; Dritschel, D. G. 3 2010 Quasi-geostrophic vortices in compressible atmospheres. Zbl 1071.76065 Scott, Richard K.; Dritschel, David G. 3 2005 A new, but flawed, numerical method for vortex patch evolution in two dimensions. Zbl 0726.76029 Dritschel, David G.; Zabusky, Norman J. 3 1991 Comparison of variational balance models for the rotating shallow water equations. Zbl 1383.76529 Dritschel, David G.; Gottwald, Georg A.; Oliver, Marcel 3 2017 Vortical control of forced two-dimensional turbulence. Zbl 1310.76126 Fontane, Jérôme; Dritschel, David G.; Scott, Richard K. 3 2013 The effect of slip length on vortex rebound from a rigid boundary. Zbl 1320.76097 Sutherland, D.; Macaskill, C.; Dritschel, D. G. 3 2013 Ring configurations of point vortices in polar atmospheres. Zbl 1490.76056 Dritschel, David G. 3 2021 Long frontal waves and dynamic scaling in freely evolving equivalent barotropic flow. Zbl 1415.76116 Burgess, B. H.; Dritschel, D. G. 3 2019 Circulation conservation and vortex breakup in magnetohydrodynamics at low magnetic Prandtl number. Zbl 1415.76758 Dritschel, D. G.; Diamond, P. H.; Tobias, S. M. 3 2018 Introduction to “Contour dynamics for the Euler equations in two dimensions”. Zbl 0938.76075 Dritschel, David G. 2 1997 Destabilization of barotropic flows by small-scale topography. Zbl 1131.76322 Benilov, E. S.; Nycander, J.; Dritschel, D. G. 2 2004 Equilibria and stability of four point vortices on a sphere. Zbl 1472.70029 Dritschel, David G. 2 2020 The interaction of two asymmetric quasi-geostrophic vortex patches. Zbl 1499.76030 Jalali, M. M.; Dritschel, D. G. 2 2018 Halting scale and energy equilibration in two-dimensional quasigeostrophic turbulence. Zbl 1287.76154 Scott, R. K.; Dritschel, D. G. 2 2013 Velocity-pressure correlation in Navier-Stokes flows and the problem of global regularity. Zbl 1461.76107 Tran, Chuong V.; Yu, Xinwei; Dritschel, David G. 2 2021 On the spacing of meandering jets in the strong-stair limit. Zbl 1508.76120 Scott, R. K.; Burgess, B. H.; Dritschel, D. G. 1 2022 Celebrating the 200th anniversary of the birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821–08.09.1894). Zbl 1484.37001 1 2021 Evolution of the singularities of the Schwarz function corresponding to the motion of a vortex patch in the two-dimensional Euler equations. Zbl 1479.76020 Riccardi, Giorgio; Dritschel, David G. 1 2021 The validity of two-dimensional models of a rotating shallow fluid layer. Zbl 1460.76887 Dritschel, David G.; Jalali, Mohammad Reza 1 2020 Point mass dynamics on spherical hypersurfaces. Zbl 1462.70008 Dritschel, David G. 1 2019 The stability of inviscid Beltrami flow between parallel free-slip impermeable boundaries. Zbl 1525.76039 Dritschel, David; Frey, Matthias 1 2023 Self-similar collapse of three vortices in the generalised Euler and quasi-geostrophic equations. Zbl 1495.76027 Reinaud, Jean N.; Dritschel, David G.; Scott, Richard K. 4 2022 On the spacing of meandering jets in the strong-stair limit. Zbl 1508.76120 Scott, R. K.; Burgess, B. H.; Dritschel, D. G. 1 2022 Ring configurations of point vortices in polar atmospheres. Zbl 1490.76056 Dritschel, David G. 3 2021 Velocity-pressure correlation in Navier-Stokes flows and the problem of global regularity. Zbl 1461.76107 Tran, Chuong V.; Yu, Xinwei; Dritschel, David G. 2 2021 Celebrating the 200th anniversary of the birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821–08.09.1894). Zbl 1484.37001 1 2021 Evolution of the singularities of the Schwarz function corresponding to the motion of a vortex patch in the two-dimensional Euler equations. Zbl 1479.76020 Riccardi, Giorgio; Dritschel, David G. 1 2021 Stability and evolution of two opposite-signed quasi-geostrophic shallow-water vortex patches. Zbl 1482.76030 Jalali, M. M.; Dritschel, D. G. 4 2020 Equilibria and stability of four point vortices on a sphere. Zbl 1472.70029 Dritschel, David G. 2 2020 The validity of two-dimensional models of a rotating shallow fluid layer. Zbl 1460.76887 Dritschel, David G.; Jalali, Mohammad Reza 1 2020 Imperfect bifurcation for the quasi-geostrophic shallow-water equations. Zbl 1409.76036 Dritschel, David Gerard; Hmidi, Taoufik; Renault, Coralie 14 2019 Scale-invariant singularity of the surface quasigeostrophic patch. Zbl 1415.86002 Scott, R. K.; Dritschel, D. G. 7 2019 On the regularity of the Green-Naghdi equations for a rotating shallow fluid layer. Zbl 1415.86005 Dritschel, David G.; Jalali, Mohammad Reza 5 2019 The stability and nonlinear evolution of quasi-geostrophic toroidal vortices. Zbl 1415.86018 Reinaud, Jean N.; Dritschel, David G. 4 2019 Long frontal waves and dynamic scaling in freely evolving equivalent barotropic flow. Zbl 1415.76116 Burgess, B. H.; Dritschel, D. G. 3 2019 Point mass dynamics on spherical hypersurfaces. Zbl 1462.70008 Dritschel, David G. 1 2019 The merger of geophysical vortices at finite Rossby and Froude number. Zbl 1404.76062 Reinaud, Jean N.; Dritschel, David G. 7 2018 Circulation conservation and vortex breakup in magnetohydrodynamics at low magnetic Prandtl number. Zbl 1415.76758 Dritschel, D. G.; Diamond, P. H.; Tobias, S. M. 3 2018 The interaction of two asymmetric quasi-geostrophic vortex patches. Zbl 1499.76030 Jalali, M. M.; Dritschel, D. G. 2 2018 The characteristics of billows generated by internal solitary waves. Zbl 1383.76046 Carr, Magda; Franklin, James; King, Stuart E.; Davies, Peter A.; Grue, John; Dritschel, David G. 6 2017 Comparison of variational balance models for the rotating shallow water equations. Zbl 1383.76529 Dritschel, David G.; Gottwald, Georg A.; Oliver, Marcel 3 2017 Balanced solutions for an ellipsoidal vortex in a rotating stratified flow. Zbl 1456.76137 McKiver, William J.; Dritschel, David G. 7 2016 \(N\)-body dynamics on closed surfaces: the axioms of mechanics. Zbl 1371.70035 Boatto, Stefanella; Dritschel, David G.; Schaefer, Rodrigo G. 6 2016 The motion of point vortices on closed surfaces. Zbl 1371.76042 Dritschel, D. G.; Boatto, S. 31 2015 On the late-time behaviour of a bounded, inviscid two-dimensional flow. Zbl 1382.76119 Dritschel, David G.; Qi, Wanming; Marston, J. B. 14 2015 Quasi-geostrophic shallow-water doubly-connected vortex equilibria and their stability. Zbl 1287.76112 Płotka, Hanna; Dritschel, David G. 6 2013 Vortical control of forced two-dimensional turbulence. Zbl 1310.76126 Fontane, Jérôme; Dritschel, David G.; Scott, Richard K. 3 2013 The effect of slip length on vortex rebound from a rigid boundary. Zbl 1320.76097 Sutherland, D.; Macaskill, C.; Dritschel, D. G. 3 2013 Halting scale and energy equilibration in two-dimensional quasigeostrophic turbulence. Zbl 1287.76154 Scott, R. K.; Dritschel, D. G. 2 2013 The structure of zonal jets in geostrophic turbulence. Zbl 1275.76132 Scott, Richard K.; Dritschel, David G. 16 2012 Two-dimensional magnetohydrodynamic turbulence in the small magnetic Prandtl number limit. Zbl 1248.76153 Dritschel, David G.; Tobias, Steven M. 7 2012 Quasi-geostrophic shallow-water vortex-patch equilibria and their stability. Zbl 07649665 Płotka, Hanna; Dritschel, David G. 6 2012 Instability in internal solitary waves with trapped cores. Zbl 1308.76127 Carr, M.; King, S. E.; Dritschel, D. G. 4 2012 An exact steadily rotating surface quasi-geostrophic elliptical vortex. Zbl 1521.76106 Dritschel, David G. 13 2011 The steady-state form of large-amplitude internal solitary waves. Zbl 1225.76061 King, Stuart E.; Carr, Magda; Dritschel, David G. 12 2011 Numerical simulation of shear-induced instabilities in internal solitary waves. Zbl 1241.76100 Carr, Magda; King, Stuart E.; Dritschel, David G. 9 2011 Jet sharpening by turbulent mixing. Zbl 1219.85007 Dritschel, D. G.; Scott, R. K. 6 2011 The combined Lagrangian advection method. Zbl 1310.76124 Dritschel, David G.; Fontane, Jérôme 19 2010 Energy dissipation and resolution of steep gradients in one-dimensional Burgers flows. Zbl 1188.76161 Tran, Chuong V.; Dritschel, David G. 4 2010 Homostrophic vortex interaction under external strain, in a coupled QG-SQG model. Zbl 1229.86005 Perrot, X.; Reinaud, J. N.; Carton, X.; Dritschel, D. G. 3 2010 The HyperCASL algorithm: a new approach to the numerical simulation of geophysical flows. Zbl 1261.86002 Fontane, Jérôme; Dritschel, David G. 18 2009 On the simulation of nearly inviscid two-dimensional turbulence. Zbl 1159.76031 Dritschel, D. G.; Scott, R. K. 16 2009 Late time evolution of unforced inviscid two-dimensional turbulence. Zbl 1183.76785 Dritschel, David G.; Scott, Richard K.; Macaskill, Charlie; Gottwald, Georg A.; Tran, Chuong V. 9 2009 Destructive interactions between two counter-rotating quasi-geostrophic vortices. Zbl 1183.76733 Reinaud, Jean N.; Dritschel, David G. 8 2009 A family of helically symmetric vortex equilibria. Zbl 1183.76655 Lucas, Dan; Dritschel, David G. 7 2009 Balance in non-hydrostatic rotating stratified turbulence. Zbl 1168.76328 McKiver, William J.; Dritschel, David G. 12 2008 Interaction between two quasi-geostrophic vortices of unequal potential vorticity. Zbl 1133.76012 Özuğurlu, Ersin; Reinaud, Jean N.; Dritschel, David G. 9 2008 Revisiting Batchelor’s theory of two-dimensional turbulence. Zbl 1169.76351 Dritschel, David G.; Tran, Chuong V.; Scott, Richard K. 13 2007 Strong interactions between two corotating quasi-geostrophic vortices. Zbl 1128.76013 Bambrey, Ross R.; Reinaud, Jean N.; Dritschel, David G. 12 2007 The persistence of balance in geophysical flows. Zbl 1111.76061 Dritschel, David G.; Viúdez, Álvaro 5 2007 Vanishing enstrophy dissipation in two-dimensional Navier-Stokes turbulence in the inviscid limit. Zbl 1095.76028 Tran, Chuong V.; Dritschel, David G. 20 2006 Spontaneous generation of inertia-gravity wave packets by balanced geophysical flows. Zbl 1087.76020 Viúdez, Álvaro; Dritschel, David G. 11 2006 Revisiting the Rossby-Haurwitz wave test case with contour advection. Zbl 1160.86305 Smith, Robert K.; Dritschel, David G. 10 2006 The stability of a quasi-geostrophic ellipsoidal vortex in a background shear flow. Zbl 1122.76036 McKiver, William J.; Dritschel, David G. 9 2006 Instability of a shallow-water potential-vorticity front. Zbl 1098.76031 Dritschel, David G.; Vanneste, Jacques 8 2006 Impeded inverse energy transfer in the Charney-Hasegawa-Mima model of quasi-geostrophic flows. Zbl 1088.76072 Tran, Chuong V.; Dritschel, David G. 6 2006 Bending and twisting instabilities of columnar elliptical vortices in a rotating strongly stratified fluid. Zbl 1157.76329 Billant, Paul; Dritschel, David G.; Chomaz, Jean-Marc 6 2006 Large-scale dynamics in two-dimensional Euler and surface quasigeostrophic flows. Zbl 1146.76555 Tran, Chuong V.; Dritschel, David G. 4 2006 The critical merger distance between two co-rotating quasi-geostrophic vortices. Zbl 1065.76093 Reinaud, Jean N.; Dritschel, David G. 19 2005 The stability of quasi-geostrophic ellipsoidal vortices. Zbl 1122.76031 Dritschel, David G.; Scott, Richard K.; Reinaud, Jean N. 10 2005 Quasi-geostrophic vortices in compressible atmospheres. Zbl 1071.76065 Scott, Richard K.; Dritschel, David G. 3 2005 The quasi-geostrophic ellipsoidal vortex model. Zbl 1067.76018 Dritschel, David G.; Reinaud, Jean N.; McKiver, William J. 21 2004 Optimal potential vorticity balance of geophysical flows. Zbl 1065.76198 Viúdez, Álvaro; Dritschel, David G. 16 2004 Destabilization of barotropic flows by small-scale topography. Zbl 1131.76322 Benilov, E. S.; Nycander, J.; Dritschel, D. G. 2 2004 Vertical velocity in mesoscale geophysical flows. Zbl 1137.86304 Viúdez, Álvaro; Dritschel, David G. 32 2003 A balanced approach to modelling rotating stably stratified geophysical flows. Zbl 1063.76656 Dritschel, David G.; Viúdez, Álvaro 29 2003 The shape of vortices in quasi-geostrophic turbulence. Zbl 1022.76025 Reinaud, J. N.; Dritschel, D. G.; Koudella, C. R. 27 2003 The motion of a fluid ellipsoid in a general linear background flow. Zbl 1065.76197 McKiver, William J.; Dritschel, David G. 10 2003 The CASL algorithm for quasi-geostrophic flow in a cylinder. Zbl 1127.76316 Macaskill, C.; Padden, W. E. P.; Dritschel, D. G. 7 2003 The merger of vertically offset quasi-geostrophic vortices. Zbl 1152.76347 Reinaud, J. N.; Dritschel, D. G. 22 2002 Vortex merger in rotating stratified flows. Zbl 1028.76053 Dritschel, David G. 19 2002 An explicit potential-vorticity-conserving approach to modelling nonlinear internal gravity waves. Zbl 1112.76324 Viúdez, Álvaro; Dritschel, David G. 4 2002 The erosion of a distributed two-dimensional vortex in a background straining flow. Zbl 1097.76548 Legras, Bernard; Dritschel, David G.; Caillol, Philippe 7 2001 On the beta-drift of an initially circular vortex patch. Zbl 0992.76021 Lam, J. Sai-Lap; Dritschel, David G. 6 2001 The three-dimensional vortical nature of atmospheric and oceanic turbulent flows. Zbl 1147.76377 Dritschel, David G.; de la Torre Juárez, Manuel; Ambaum, Maarten H. P. 15 1999 On the persistence of non-axisymmetric vortices in inviscid two-dimensional flows. Zbl 0918.76010 Dritschel, David G. 13 1998 Introduction to “Contour dynamics for the Euler equations in two dimensions”. Zbl 0938.76075 Dritschel, David G. 2 1997 The instability and breakdown of tall columnar vortices in a quasi-geostrophic fluid. Zbl 0893.76027 Dritschel, David G.; de la Torre Juárez, Manuel 16 1996 On the nature of vortex interactions and models in unforced nearly-inviscid two-dimensional turbulence. Zbl 1086.76035 Dritschel, David G.; Zabusky, Norman J. 15 1996 A general theory for two-dimensional vortex interactions. Zbl 0854.76018 Dritschel, David G. 54 1995 High gradient phenomena in two-dimensional vortex interactions. Zbl 1039.76504 Yao, H. B.; Zabusky, N. J.; Dritschel, D. G. 15 1995 Wave and vortex dynamics on the surface of a sphere. Zbl 0793.76022 Polvani, Lorenzo M.; Dritschel, David G. 56 1993 Vortex stripping and the generation of high vorticity gradients in two- dimensional flows. Zbl 0778.76041 Legras, B.; Dritschel, D. 30 1993 Vortex properties of two-dimensional turbulence. Zbl 0800.76208 Dritschel, David G. 29 1993 A comparison of the contour surgery and pseudo-spectral methods. Zbl 0784.76070 Legras, Bernard; Dritschel, David G. 17 1993 A fast contour dynamics method for many-vortex calculations in two- dimensional flows. Zbl 0766.76012 Dritschel, David G. 17 1993 The dynamics of long frontal waves in the shallow-water equations. Zbl 0793.76013 Nycander, J.; Dritschel, D. G.; Sutyrin, G. G. 11 1993 The roll-up of vorticity strips on the surface of a sphere. Zbl 0744.76061 Dritschel, David G.; Polvani, Lorenzo M. 18 1992 The elliptical model of two-dimensional vortex dynamics. I: The basic state. Zbl 0733.76013 Legras, Bernard; Dritschel, David G. 23 1991 Generalized helical Beltrami flows in hydrodynamics and magnetohydrodynamics. Zbl 0724.76090 Dritschel, David G. 19 1991 The stability of a two-dimensional vorticity filament under uniform strain. Zbl 0728.76045 Dritschel, D. G.; Haynes, P. H.; Juckes, M. N.; Shepherd, T. G. 19 1991 The elliptical model of two-dimensional vortex dynamics. II: Disturbance equations. Zbl 0733.76014 Dritschel, David G.; Legras, Bernard 15 1991 The stability of filamentary vorticity in two-dimensional geophysical vortex-dynamics models. Zbl 0728.76044 Waugh, D. W.; Dritschel, D. G. 10 1991 A new, but flawed, numerical method for vortex patch evolution in two dimensions. Zbl 0726.76029 Dritschel, David G.; Zabusky, Norman J. 3 1991 The stability of elliptical vortices in an external straining flow. Zbl 0686.76028 Dritschel, David G. 24 1990 Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics. Zbl 0642.76025 Dritschel, David G. 102 1988 Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three- dimensional quasi-geostrophic flows. Zbl 0643.76059 Dritschel, David G. 29 1988 The repeated filamentation of two-dimensional vorticity interfaces. Zbl 0645.76024 Dritschel, David G. 29 1988 Contour dynamics/surgery on the sphere. Zbl 0655.76018 Dritschel, David G. 21 1988 The nonlinear evolution of rotating configurations of uniform vorticity. Zbl 0616.76069 Dritschel, David G. 42 1986 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 769 Authors 70 Dritschel, David Gerard 24 Reinaud, Jean N. 18 Carton, Xavier J. 15 Scott, Richard K. 13 McDonald, N. Robb 12 Hmidi, Taoufik 12 Newton, Paul K. 12 Tran, Chuong V. 11 Sakajo, Takashi 11 van Heijst, Gert-Jan F. 11 Zabusky, Norman J. 10 Crowdy, Darren Gregory 10 Kizner, Ziv 10 Viúdez, Álvaro 9 Protas, Bartosz 8 Johnson, Edward Robert 7 Clercx, Herman J. H. 7 Constantin, Adrian 6 Boatto, Stefanella 6 Burgess, B. H. 6 Fečkan, Michal 6 Garcia, Claudia I. 6 Gilbert, Andrew D. 6 Jeong, In-Jee 6 Mateu, Joan 6 McKiver, William J. 6 McWilliams, James C. 6 Rossi, Maurice 6 Wang, Jinrong 5 Billant, Paul 5 Carr, Magda 5 Choi, Kyudong 5 Fontane, Jérôme 5 Hua, Bach Lien 5 Kim, Sun-Chul 5 Koshel, Konstantin V. 5 Kurakin, Leonid Gennadievich 5 Marynets, Kateryna 5 Mattheij, Robert M. M. 5 Oliver, Marcel 5 Polvani, Lorenzo M. 5 Vosbeek, Pauline Wilhelmina Catharina 4 Davidson, Peter Alan 4 Kidambi, Rangachari 4 King, Stuart E. 4 Klein, Patrice 4 Le Dizès, Stéphane 4 Legras, Bernard 4 Llewellyn Smith, Stefan G. 4 Luzzatto-Fegiz, Paolo 4 Marcus, Philip S. 4 Nelson, Rhodri B. 4 Riccardi, Giorgio 4 Sokolovskiy, Mikhail A. 4 Tobias, Steven M. 4 Vanneste, Jacques 4 Viviani, Milo 4 Williamson, Charles H. K. 3 Andrade, Jaime 3 Badin, Gualtiero 3 Blackbourn, Luke A. K. 3 Camassa, Roberto 3 Castro, Ángel 3 Cordoba, Diego 3 Delbende, Ivan 3 Ehrenstein, Uwe 3 Farge, Marie 3 Flierl, Glenn R. 3 Ford, Rupert W. 3 Frey, Matthias 3 Gómez-Serrano, Javier 3 Gottwald, Georg A. 3 Hassainia, Zineb 3 Hattori, Yuji 3 He, Xinyu 3 Hunter, John K. 3 Jalali, Mohammad Reza 3 Khvoles, Ruvim 3 Koiller, Jair 3 Lapeyre, Guillaume 3 Le Bars, Michael 3 Le Gal, Patrice 3 Macaskill, Charlie 3 Makarov, V. G. 3 Makarov, Viacheslav 3 Marchioro, Carlo 3 Masur, Gökce Tuba 3 Menesguen, Claire 3 Modin, Klas 3 Nomura, Keiko K. 3 Ohkitani, Koji 3 Ostrovskaya, Irina V. 3 Płotka, Hanna 3 Pullin, Dale I. 3 Radko, Timour 3 Ryzhov, Eugene A. 3 Shimizu, Yuuki 3 Sohn, Sung-Ik 3 Stastna, Marek 3 Trieling, R. R. ...and 669 more Authors all top 5 Cited in 106 Serials 192 Journal of Fluid Mechanics 98 Physics of Fluids 43 Geophysical and Astrophysical Fluid Dynamics 25 Physica D 24 Journal of Computational Physics 23 Regular and Chaotic Dynamics 15 Journal of Nonlinear Science 13 Theoretical and Computational Fluid Dynamics 11 European Journal of Mechanics. B. Fluids 10 Chaos 9 Communications in Mathematical Physics 7 Archive for Rational Mechanics and Analysis 7 Physics of Fluids, A 7 Monatshefte für Mathematik 6 Computers and Fluids 5 Journal of Mathematical Physics 5 Journal of Statistical Physics 5 Journal of Mathematical Fluid Mechanics 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Fluid Dynamics 4 Nonlinearity 4 Journal of Computational and Applied Mathematics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Applicable Analysis 3 Chaos, Solitons and Fractals 3 Journal of Differential Equations 3 Applied Mathematics Letters 3 SIAM Journal on Mathematical Analysis 3 Communications in Computational Physics 3 Journal of Geometric Mechanics 3 Journal of Computational Physics: X 2 Communications on Pure and Applied Mathematics 2 Physics Reports 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Asymptotic Analysis 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications in Nonlinear Science and Numerical Simulation 2 Qualitative Theory of Dynamical Systems 2 Journal of Turbulence 2 Nonlinear Analysis. Real World Applications 2 Multiscale Modeling & Simulation 2 Journal of Statistical Mechanics: Theory and Experiment 2 Annals of PDE 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Computing 1 Duke Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Mathematische Annalen 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Tôhoku Mathematical Journal. Second Series 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Mathematical and Computer Modelling 1 Dynamics and Stability of Systems 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Journal of Non-Equilibrium Thermodynamics 1 Bulletin of the American Mathematical Society. New Series 1 Acta Mechanica Sinica. (English Edition) 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Topological Methods in Nonlinear Analysis 1 Annales Mathématiques Blaise Pascal 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 International Journal of Computational Fluid Dynamics 1 Annals of Mathematics. Second Series 1 Combustion Theory and Modelling 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 The ANZIAM Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems ...and 6 more Serials all top 5 Cited in 27 Fields 587 Fluid mechanics (76-XX) 153 Geophysics (86-XX) 116 Partial differential equations (35-XX) 54 Dynamical systems and ergodic theory (37-XX) 31 Numerical analysis (65-XX) 23 Mechanics of particles and systems (70-XX) 15 Ordinary differential equations (34-XX) 14 Differential geometry (53-XX) 13 Statistical mechanics, structure of matter (82-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Astronomy and astrophysics (85-XX) 6 Functions of a complex variable (30-XX) 5 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX) Citations by Year