Publications

• MJP Cullen, RJ Douglas, I Roulstone, MJ Sewell, 2003, Generalized semi-geostrophic theory on a sphere, submitted to J Fluid Mech. (ps.gz-file available here)

• Vanneste J. & Bokhove O., 2002, Dirac-bracket approach to nearly geostrophic Hamiltonian balanced models, Physica D, 164, 152-167.

• Vanneste J. & I. Yavneh, 2004, Exponentially small inertia-gravity waves and the breakdown of quasi-geostrophic balance, J. Atmos. Sci., 61, 211-223

• Vanneste J., 2004, Inertia-gravity-wave generation by balanced motion: revisiting the Lorenz-Krishnamurthy model, J. Atmos. Sci., 61, 224-234.

• Vanneste J., 2003, Nonlinear dynamics over rough topography: barotropic and stratified quasi-geostrophic theory, J. Fluid. Mech., 474, 299-318.

• VN Roubtsov and I Roulstone, Holomorphic structures in hydrodynamical models of nearly geostrophic flow, Proc. R. Soc. Lond. A 457, 1519-1531, June 2001.

• ME McIntyre and I Roulstone, Are there higher-accuracy analogues of semigeostrophic theory? in `Large-scale atmosphere-ocean dynamics: Vol II Geometric methods and models' edited by J Norbury and I Roulstone, CUP 2002.

• Djoko Wirosoetisno, Exponentially accurate balance dynamics, submitted, 2002. (ps-file available here)

• Buhler, O., McIntyre, M.E, 2004, Wave capture, Journal of Fluid Mechanics, to be submitted

• Buhler, O., McIntyre, M.E., 2003, Remote recoil: a new wave--mean interaction effect, Journal of Fluid Mechanics, 492, 207--230.

• Buhler, O., 2001, Statistical mechanics of strong and weak point vortices in a cylinder, Physics of Fluids, 14, 2139--2149.

• Viudez A. Dritschel D.G. (2004) Potential vorticity and the quasigeostrophic and semigeostrophic mesoscale vertical velocity, J. Phys. Oceanogr. (submitted).

• Mohebalhojeh A.R. and Dritschel D.G. (2004) Contour-advective semi-Lagrangian algorithms for many-layer primitive equation models, Q. J. Roy. Meteorol. Soc. 130, 347--364.

• Dritschel D.G. and Viudez A. (2003) A balanced approach to modelling rotating stably-stratified geophysical flows, J. Fluid Mech. 488, 123--150.

• Viudez A. and Dritschel D.G. (2003) Vertical velocity in mesoscale geophysical flows, J. Fluid Mech. 483, 199--223.

• Viudez A. and Dritschel D.G. (2002) An explicit potential vorticity conserving approach to modelling nonlinear internal gravity waves, J. Fluid Mech. 458, 75--101.

• Mohebalhojeh A.R. and Dritschel D.G. (2001) Hierarchies of balance conditions for the f-plane shallow water equations, J. Atmos. Sci. 58(16), 2411--2426.

• R. Ford, S.J.A. Malham, and M. Oliver, A new model for shallow water in the low Rossby-number limit, J. Fluid Mech. 450 (2002), 287-296.

• S. Reich, Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations. J. Comput. Phys. 157 , 473--499, 2000. (ps.gz-file available here)

• Th.J. Bridges and S. Reich, Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity. Physics Letters A 284 , 184-193, 2001. (ps.gz-file available here

• T. Bridges, P. Hydon and S. Reich, Vorticity and symplecticity in Lagrangian fluid dynamics. (submitted) (ps.gz-file available here)

• B. Moore and S. Reich, Backward error analysis for multi-symplectic integration methods. (draft) (ps.gz-file available here)

• J. Frank and S. Reich, Conservation Properties of Smoothed Particle Hydrodynamics Applied to the Shallow Water Equations. , BIT 43, 40-54, 2003. (ps.gz-file available here)

• J. Frank and S. Reich, A Particle-Mesh Method for the Shallow Water Equations near Geostrophic Balance. J. Comput. Phys. 180, 407-426, 2002. (ps.gz-file available here)

• J. Frank, G. Gottwald, and S. Reich, A Hamiltonian Particle-Mesh Method for the Rotating Shallow-Water Equations. Lecture Notes in Computational Science and Engineering, Vol. 26, 131-142, 2002. (ps.gz-file available here)

• C. Cotter, J. Frank and S. Reich, Hamiltonian Particle-Mesh Method for Two-Layer Shallow-Water Equations Subject to the Rigid-Lid Approximation. SIAM J Applied Dynamical Systems 3, 69-83, 2004. (pdf-file available here)

• C.J. Cotter and S. Reich, Geometric Integration of a Wave-Vortex Model. APNUM 48, 293-305, 2004. (ps.gz-file available here)

• C.J. Cotter and S. Reich, An Extended Dissipative Particle Dynamics Model. Europhys. Lett. 64, 723-729, 2003. (pdf-file available here)

• C.J. Cotter and S. Reich, Adiabatic invariance and applications to MD and NWP. BIT, to appear. (pdf-file available here)

• J. Frank and S. Reich, The Hamiltonian Particle Mesh method for the spherical shallow-water equations. Atmospheric Science Letters 5, 89-95,2004. (pdf-file available here)

• M. Dixon and S. Reich, Symplectic Time-Stepping for Particle Methods. , GAMM, to appear. (pdf-file available here)

• Hydon PE, 2004, Self-invariant contact symmetries,, J. Nonlinear Math. Phys. (in press).