Abstract: Analytic solutions representing rectilinear flow in geostrophic and hydrostatic balance are constructed using the conformal mapping technique of Gill. Two types of mapping are used to characterize the state of a fluid after ...

Abstract: Conventional inviscid theories of flow over smooth orography assume that boundary streamlines do not separate and that, for steady solutions, the orographic surface is isentropic. Cullen et al. describe an element model ...

Abstract: tochastic kinetic energy backscatter parameterization schemes are now widely used in ensemble prediction systems to account for random error associated with excessive dissipation and unrepresented energy backscatter in ...

Abstract: The equations of motion for balanced, axisymmetric motion on a hemisphere are transformed to a somewhat simpler form employing angular momentum as a new, meridional coordinate. The resulting equations may be regarded as a ...

Abstract: Although the SCAPE concept is strictly only meaningful for quasi-two-dimensional flows it can be given a precise definition for flows satisfying the conditions governing the semigeostrophic approximation. For this type of ...

Abstract: The zero potential vorticity vortex, which is the natural extension of the v-r vortex to structure, is discussed here.

Abstract: A Lagrangian element model is described which represents axisymmetric flow as a set of toroidal elements, each of which is homogeneous in potential temperature and angular momentum. The flow is assumed to be in gradient ...

Abstract: The classical concept of hydrodynamic stability is reviewed in the light of recent developments in semigeostrophic theory. A certain Jacobian matrix is required to be positive-definite if solution of the semigeostrophic ...

Abstract: Idealized cloud-resolving model (CRM) simulations spanning a large part of the tropical atmosphere are used to evaluate the extent to which deterministic convective parameterizations fail to capture the statistical ...

Abstract: Understanding model error in state-of-the-art numerical weather prediction models and representing its impact on flow-dependent predictability remains a complex and mostly unsolved problem. Here, a spectral stochastic ...