A comparison of the asymptotic and no-z approximations for galactic dynamos

Abstract

The asymptotic and the no-z approximation methods of solving the axisymmetric mean field αΩ dynamo equation in a galactic disc are compared. The behaviour of the solutions is explored in both the linear and nonlinear regimes for a variety of dynamo parameters and two different rotation curves. The solutions obtained from the two different approaches are found to be in good agreement.     

Regional retrograde metamorphism of a high grade terrain: the Willyama Complex,Broken Hill,Australia

Retrograde metamorphism has been a major influence in the development of the presently observed lithologies of the Willyama Complex, Broken Hill. Two broad types of retrogression are distinguished: pseudomorphous and kinematic retrogression. The former type of retrogression involves replacement of prograde phases without complete loss of the high grade fabric; hence the prograde assemblage can frequently be inferred. Kinematic retrogression involves the development of a new schistose fabric and, like pseudomorphous retrogression, is commonly related to F₃ deformation. Retrogression was initiated during the waning stage of prograde metamorphism and was accompanied by an influx of aqueous fluid at similar pressure, but lower temperature conditions than prograde metamorphism. The source of the water is believed to be the crystallization of cooling partial melts. The regional nature of this ‘Willyama-style’ of retrogression is attributed to the metasediment-rich nature of the sequence, the high geothermal gradient and the considerable amount of in situ partial melting.     

Using a mathematical model to assess the sustainability of proposed bauxite mining in Andhra Pradesh, India from a quantitative-based environmental impact assessment

The theory and practice of sustainability involves the understanding and management of the coupled relationship between the environment and humans. This relationship is very evident in respect to mining where the impacts of operations, both positive and negative, are environmental and socioeconomic in nature. In recent years, evaluating the sustainability of a mining operation has grown within the literature due to the impacts that mining has upon a local community. However, the literature has been often characterised by a variety of case study-specific approaches to define and evaluate the sustainability of mining operations. This is due to the fundamental problem of defining what is sustainability. The paper applies, based on our previous research, a mathematical model of sustainability to the environmental impact assessment (EIA) of a proposed bauxite mining project in the Andhra Pradesh province, India. The model??s application to the impact assessment, which used the rapid impact assessment matrix, was undertaken for the purpose of determining the level and nature of sustainability (if appropriate) of the proposed project. The results indicated that the project was considered as unsustainable in its current form, based on an obtained E value of 0.249 and an H _NI value of 0.500. The results suggested that the project would greatly benefit from an environmental management plan in order to mitigate the extensive negative environmental and social impacts of the project. The results also indicated the potential of the model in assisting in the resolution of questions of the sustainability of local projects, which are assessed through quantitative-based EIA.     

Modelling tidal current turbine wakes using a coupled RANS-BEMT approach as a tool for analysing power capture of arrays of turbines

An improved method is developed to couple an inner domain solution of the blade element momentum theory with an outer domain solution of the Reynolds averaged Navier Stokes equations for evaluating performance of tidal current turbines. A mesh sensitivity study shows that a mesh of at least 6 M cells with at least 40% of these within the turbine wake is required to ensure satisfactory convergence of the velocity deficit. In addition to the usually applied axial momentum source terms, angular momentum and turbulence intensity source terms are shown to be required to model the near wake evolution. Three different lateral turbine spacing of 2, 4 and 6 turbine diameters are used to demonstrate the influence of the effective channel blockage on the velocity distribution in the turbine bypass region, the rate of spread of the wake and the recovery of velocity distribution. A final study shows that for a fixed number of turbines minimising the lateral spacing within each row, with a small number of staggered rows spaced as longitudinally as far apart as practical, is the most effective strategy for energy capture.     

Experimental effects of water stress on semi-arid Karoo seedlings: implications for field seedling survivorship

Very little is known about seedling establishment in the semi-arid Karoo of southern Africa. In a greenhouse study, we investigated the responses of seedlings of three shrub species to water stress by withholding water at different stages of seedling development. Mortality of the two Asteraceous species, Pteronia pallens and Osteospermum sinuatum was more rapid where seedlings were provided with water for longer periods before being subjected to water stress. Hardened seedlings, exposed to water stress at an earlier stage, survived the longest. These seedlings were the smallest with respect to root and shoot mass. Seedlings of the leaf succulent Ruschia spinosa were extremely hardy and after 400 days without water, approximately 80% of the seedlings were still alive. The last P. pallens seedling died 160 days after water had been withheld. Osteospermum sinuatum seedlings were the least tolerant to water stress and 100% mortality occurred within 120 days. These results are discussed in terms of microhabitat preferences of the seedlings in field situations.     

Vague cognitive regions in geography and geographic information science

Cognitive regions are regions in the mind, reflecting informal ways individuals and cultural groups organize their understanding of earth landscapes. Cognitive region boundaries are typically substantially vague and their membership functions are substantially variable – the transition from outside to inside the region is imprecise or vague, and different places within the region are not equally strong or clear as exemplars of the region. Methods for assessing and cartographically depicting cognitive regions, as with other vague geographic regions, have traditionally implied an inappropriate level of boundary sharpness and membership uniformity, such as when boundaries are mapped as precise lines. Research in recent decades has explored methods for assessing and depicting boundary vagueness and membership variability, either within or across individuals, but has still assumed homogeneity and regularity in the vagueness and variability. In this article, we present two studies that assess the cognitive regions of ‘Northern’ and ‘Southern’ California, and, for comparison, ‘Northern’ and ‘Southern’ Alberta. The first study uses a standard boundary-drawing task; the second uses a novel task in which participants rate cells of a high-resolution grid laid over an outline map. This technique allows us to assess and depict vagueness and nonuniformity that is heterogeneous and irregular across different areas. Differences in the conceptualization of ‘Northern’ and ‘Southern’ regions in California, as compared to those in Alberta, point to thematic influences on cognitive regions in California but not in Alberta. As is often true with cognitive regions, Northern and Southern California are about attitude, not just latitude.     

Controls on sediment export from the Waipaoa River basin, New Zealand

A stability model of drainage basin mass balance is used to interpret historic and prehistoric patterns of sediment production, storage and output from the Waipaoa River basin, New Zealand and assess the sensitivity of basin sediment yield to land use change in the historic period. Climate and vegetation cover changed during the late Holocene, but the drainage basin mass balance system was stable before the basin was deforested by European colonists in the late 19th and early 20th centuries. In this meso‐scale dispersal system sediment sources and sinks are closely linked, and before that time there was also little variability in the rate of terrigenous mass accumulation on the adjacent continental shelf. However, despite strong first‐order geologic controls on erosion and extensive alluvial storage, sediment delivery to the continental shelf is sensitive and highly responsive to historic hillslope destabilization driven by land use change. Alluvial buffering can mask the effects of variations in sediment production within a basin on sediment yield at the outlet, but this is most likely to occur in basins where alluvial storage is large relative to yield and where the residence time of alluvial sediment is long relative to the time scale of environmental change. At present, neither situation applies to the Waipaoa River basin. Thus, the strength of the contemporary depositional signal may not only be due to the intensity of the erosion processes involved, but also to the fact that land use change in the historic period destabilized the drainage basin mass balance system.