Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere

We describe a compatible finite element discretisation for the shallow water equations on the rotating sphere, concentrating on integrating consistent upwind stabilisation into the framework. Although the prognostic variables are velocity and layer depth, the discretisation has a diagnostic potential vorticity that satisfies a stable upwinded advection equation through a Taylor-Galerkin scheme; this provides a mechanism for dissipating enstrophy at the gridscale whilst retaining optimal order consistency. We also use upwind discontinuous Galerkin schemes for the transport of layer depth. These transport schemes are incorporated into a semi-implicit formulation that is facilitated by a hybridisation method for solving the resulting mixed Helmholtz equation. We illustrate our discretisation with some standard rotating sphere test problems.Comment: accepted versio

Why are some South African children with Down syndrome not being offered cardiac surgery?

No Abstract. South African Medical Journal Vol. 96(9) (Part 2) 2006: 914-91

Why are some South African children with Down syndrom not being offered cardiac surgery?

About 1 in 1 000 children has Down syndrome. Extra chromosomal material results in a myriad of potential problems for the affected individual. About 40% of Down syndrome children will have cardiac abnormalities, ranging from the simple arterial duct to the complex atrioventricular septal defect. Virtually all these defects are amenable to surgical correction and extended survival is possible. In South Africa many of these children do not undergo cardiac surgery

Vertical slice modelling of nonlinear Eady waves using a compatible finite element method

This is the author accepted manuscript. The final version is available from the publisher via the DOI in this recordA vertical slice model is developed for the Euler–Boussinesq equations with a constant temperature gradient in the direction normal to the slice (the Eady–Boussinesq model). The model is a solution of the full three-dimensional equations with no variation normal to the slice, which is an idealised problem used to study the formation and subsequent evolution of weather fronts. A compatible finite element method is used to discretise the governing equations. To extend the Charney–Phillips grid staggering in the compatible finite element framework, we use the same node locations for buoyancy as the vertical part of velocity and apply a transport scheme for a partially continuous finite element space. For the time discretisation, we solve the semi-implicit equations together with an explicit strong-stability-preserving Runge–Kutta scheme to all of the advection terms. The model reproduces several quasi-periodic lifecycles of fronts despite the presence of strong discontinuities. An asymptotic limit analysis based on the semi-geostrophic theory shows that the model solutions are converging to a solution in cross-front geostrophic balance. The results are consistent with the previous results using finite difference methods, indicating that the compatible finite element method is performing as well as finite difference methods for this test problem. We observe dissipation of kinetic energy of the cross-front velocity in the model due to the lack of resolution at the fronts, even though the energy loss is not likely to account for the large gap on the strength of the fronts between the model result and the semi-geostrophic limit solution.Natural Environment Research Council (NERC)Engineering and Physical Science Research Council (EPSRC

HRM and innovation: the mediating role of market-sensing capability and the moderating role of national power distance

This paper examines the mechanism through which human resource management (HRM) practices promote firms’ innovation and how this relationship differs across cultures. Based on a dataset of 3,755 firms from 13 countries, this study finds that in most countries employee-oriented HRM practices that dedicate attention to employee needs and interests are positively related to firms’ market-sensing capability, which is the capability to continuously learn about their markets. Market-sensing capability is in turn significantly related to firms’ product and process innovation. Cross-country examination further reveals that in high power distance countries employee- oriented HRM practices have a stronger positive effect than in low power distance countries. This study highlights the importance of HRM in supporting the use organizations make of external knowledge, which is critical for organizational innovation. Bringing an external perspective, we complement existing literature that emphasizes the role of HRM in integrating internal knowledge. Our cross-cultural findings contribute to the understanding of cultural contingency in HRM theories

Collagen fingerprinting traces the introduction of caprines to island Eastern Africa

The human colonization of eastern Africa's near- and offshore islands was accompanied by the translocation of several domestic, wild and commensal fauna, many of which had long-term impacts on local environments. To better understand the timing and nature of the introduction of domesticated caprines (sheep and goat) to these islands, this study applied collagen peptide fingerprinting (Zooarchaeology by Mass Spectrometry or ZooMS) to archaeological remains from eight Iron Age sites, dating between ca 300 and 1000 CE, in the Zanzibar, Mafia and Comoros archipelagos. Where previous zooarchaeological analyses had identified caprine remains at four of these sites, this study identified goat at seven sites and sheep at three, demonstrating that caprines were more widespread than previously known. The ZooMS results support an introduction of goats to island eastern Africa from at least the seventh century CE, while sheep in our sample arrived one–two centuries later. Goats may have been preferred because, as browsers, they were better adapted to the islands' environments. The results allow for a more accurate understanding of early caprine husbandry in the study region and provide a critical archaeological baseline for examining the potential long-term impacts of translocated fauna on island ecologies.1. Introduction 2. Background 2.1. Island colonization and species translocations 2.2. Tracing the introduction of caprines to insular Eastern Africa 3. Methods 3.1. Sites 3.2. Sample selection 3.3. ZooMS protocol 3.3.1. Acid-insoluble protocol 3.3.2. Acid-soluble protocol 3.3.3. Lyophilized collagen for stable isotope analysis 3.3.4. C18 clean-up and MALDI-ToF analysis 4. Results 5. Discussion 5.1. Diachronic patterns in the introduction of caprines 5.2. Island herd compositions 5.3. Wild faunal extirpations and translocations 5.4. Long-term ecological impacts of caprines on Eastern Africa’s islands 6. Conclusio