Adjoint goal-based error norms for adaptive mesh ocean modelling

Flow in the world's oceans occurs at a wide range of spatial scales, from a fraction of a metre up to many thousands of kilometers. In particular, regions of intense flow are often highly localised, for example, western boundary currents, equatorial jets, overflows and convective plumes. Conventional numerical ocean models generally use static meshes. The use of dynamically-adaptive meshes has many potential advantages but needs to be guided by an error measure reflecting the underlying physics. A method of defining an error measure to guide an adaptive meshing algorithm for unstructured tetrahedral finite elements, utilizing an adjoint or goal-based method, is described here. This method is based upon a functional, encompassing important features of the flow structure. The sensitivity of this functional, with respect to the solution variables, is used as the basis from which an error measure is derived. This error measure acts to predict those areas of the domain where resolution should be changed. A barotropic wind driven gyre problem is used to demonstrate the capabilities of the method. The overall objective of this work is to develop robust error measures for use in an oceanographic context which will ensure areas of fine mesh resolution are used only where and when they are required. (c) 2006 Elsevier Ltd. All rights reserved.

Religious and spiritual identity and citizenship education in the UK

If education is to be about ‘human flourishing’ (De Ruyter, 2004) as well as preparation for adulthood and work, then religious and citizenship education would seem to have a key contribution towards this goal, both offering opportunities for the exploration and development of a robust sense of identity. However, despite the opposition of most religious educators, religious education has been treated by successive UK governments simply as a form of inculcation into a homogenous notion of citizenship based on nominal church attendance. Moreover, the teaching of the relatively new subject of citizenship education, whilst recognising that the sense of identity and allegiance is complex, has not regularly included faith perspectives. I argue that the concept of ‘spiritual development’, which centres on an existential sense of identity, offers a justification for combining lessons in both religious and citizenship education. I conclude on a cautionary note, arguing that pupils need to be given a critical awareness of ways in which such identities can be provided for them by default, particularly since consumer culture increasingly makes use of ‘spiritual’ language and imagery.

World Health Organization dietary norms: a quantitative evaluation of potential consumption impacts in the United States, United Kingdom, and France

The member countries of the World Health Organization have endorsed its Global Strategy on Diet, Physical Activity, and Health. We assess the potential consumption impacts of these norms in the United States, France, and the United Kingdom using a mathematical programming approach. We find that adherence would involve large reductions in the consumption of fats and oils accompanying large rises in the consumption of fruits, vegetables, and cereal. Further, in the United Kingdom and the United States, but not France, sugar intakes would have to shrink considerably. Focusing on sub-populations within each country, we find that the least educated, not necessarily the poorest, would have to bear the highest burden of adjustment.