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This volume contains papers from the 5 keynote lectures and 34 other contributed papers presented at the IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics. The Symposium provided a forum where atmosphere and ocean scientists could present their latest research results and learn of progress and promising ideas in these allied disciplines. This was seen to be especially important in view of current efforts to model climate requiring interaction between atmosphere, ocean and land influences. This volume presents a valuable collection of papers, which highlight advances in modelling of atmosphere and ocean dynamics and should further advance interaction between theory and applications in atmosphere/ocean dynamics. The volume will be a valuable reference for researchers involved in atmosphere, ocean and climate modelling.
Preface. Keynote Lectures. Open boundary conditions: fact and fiction; D. Durran. Paramaterising Eddies in Ocean Climate Models; P. Gent. Boundary Filter Initialization of the HIRLAM Model; P. Lynch, R. McGrath. Balance, potential-vorticity inversion, Lighthill radiation and the slow quasi-manifold; M. McIntyre. Kelvin's theorem and the oceanic circulation in the presence of islands an broken ridges; J. Pedlosky. Contributed Papers. Global and regional atmospheric modelling using spectral elements; F. Baer, et al. Piecewise-constant vortices in a two-layer shallow-water Flow; J.M. Baey, X. Carton. A dynamical stabilizer in the climate system: a mechanism suggested by a simple model and supported by GCM experiments and an observational data study; J.R. Bated, V.A. Alexeev. Waves on the beta-plane over topography; E.S. Benilov. Asymptotic models and application to vortex dynamics; M. Benjelloun, X. Carton. Orographically forced variability in the coastal marine atmospheric boundary layer; S.D. Burk, et al. The influence of thermocline Topography on the oceanic response to fluctuating winds: a case study in the tropical North Pacific; A. Capotondi, M. Alexander. Modelling the dynamics of abyssal equator-crossing currents; P.F. Choboter, G.E. Swaters. Toward accurate coastal ocean prediction; P.C. Chu, et al. Development and Simulation of Atlantic storms during FASTEX; K. Finkele, P. Lynch. Low-order models of atmospheric dynamics with physically sound behaviour; A. Gluhovsky, C. Tong. Models for instability in geophysical flows; R. Grimshaw, G. Gottwald. Baroclinic structure of a modified Stommel -- Arons model of the abyssal ocean circulation; P.F. Hodnett, R. McNamara. The available potential energy in a compressible ocean; Rui Xin Huang. The role of bottom pressure torques in the ocean circulation; C.W. Hughes. Quasi-geostrophic potential vorticity for a generalised vertical coordinate formulation and applications; N. Keeley, A.A. White. On the effect of a surface density front on the interior structure of the ventilated thermocline; P. Lionello, J. Pedlosky. Non-hydrostatic barotropic instability; M. Mak. The CSIRO conformal-cubic atmospheric GCM; J.L. McGregor, M.R. Dix. On the origin of helical vortex flow; N. Nawri. Baroclinic instability of bottom-dwelling currents; M.K. Reszka, G.E. Swaters. General properties of baroclinic modons over topography; G.M. Reznik, G.G. Sutyrin. Acoustic filtration in pressure-coordinate models. Basic concepts and applications in non-hydrostatic modelling; R. Room, A. Mannik. Oscillatory regimes of forced zonal flow; I.A. Sazonov, et al. Improving climate simulations in the tropical oceans; A. Schiller. Synchroneity of the low-frequency planetary wave dynamics and its use to create a model for the numerical monthly weather forecasting; D.M. Sonechkin. Physical mechanisms of nonlinear equilibration of a baroclinically unstable jet over toppographic slope; G.G. Sutyrin, et al. Evolution of near-singular jet modes; G.E. Swaters. Linear Resonance, WKB breakdown, and the coupling of Rossby waves over slowly-varying topography; R. Tailleux, J.C. McWilliams. Nonoscillatory advection schemes with well-behaved adjoints; J. Thuburn, Th.W.N. Haine. A statistical equilibrium model of zonal shears and embedded vortices in a Jovian atmosphere; B. Turkington. The impact of small-scale topography on large-scale ocean dynamics; J. Vanneste. Numerical experiments on intraseasonal and interannual variations of the troposphere-stratosphere coupled system; S. Yoden, M. Taguchi. List of Participants.