Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term

In this paper, we consider the variable-order Galilei advection diffusion equation with a nonlinear source term. A numerical scheme with first order temporal accuracy and second order spatial accuracy is developed to simulate the equation. The stability and convergence of the numerical scheme are analyzed. Besides, another numerical scheme for improving temporal accuracy is also developed. Finally, some numerical examples are given and the results demonstrate the effectiveness of theoretical analysis. Keywords: The variable-order Galilei invariant advection diffusion equation with a nonlinear source term; The variable-order Riemann–Liouville fractional partial derivative; Stability; Convergence; Numerical scheme improving temporal accuracy

Super-orbital re-entry in Australia : laboratory measurement, simulation and flight observation

There are large uncertainties in the aerothermodynamic modelling of super-orbital re-entry which impact the design of spacecraft thermal protection systems (TPS). Aspects of the thermal environment of super-orbital re-entry flows can be simulated in the laboratory using arc- and plasma jet facilities and these devices are regularly used for TPS certification work [5]. Another laboratory device which is capable of simulating certain critical features of both the aero and thermal environment of super-orbital re-entry is the expansion tube, and three such facilities have been operating at the University of Queensland in recent years[10]. Despite some success, wind tunnel tests do not achieve full simulation, however, a virtually complete physical simulation of particular re-entry conditions can be obtained from dedicated flight testing, and the Apollo era FIRE II flight experiment [2] is the premier example which still forms an important benchmark for modern simulations. Dedicated super-orbital flight testing is generally considered too expensive today, and there is a reluctance to incorporate substantial instrumentation for aerothermal diagnostics into existing missions since it may compromise primary mission objectives. An alternative approach to on-board flight measurements, with demonstrated success particularly in the ‘Stardust’ sample return mission, is remote observation of spectral emissions from the capsule and shock layer [8]. JAXA’s ‘Hayabusa’ sample return capsule provides a recent super-orbital reentry example through which we illustrate contributions in three areas: (1) physical simulation of super-orbital re-entry conditions in the laboratory; (2) computational simulation of such flows; and (3) remote acquisition of optical emissions from a super-orbital re entry event.

'Being-in-the-world-of-care' : the lived experiences of older people receiving community aged care packages in Queensland

It has been recognised in current literature that, in general, Australia’s population is ageing and that older people are increasingly choosing to continue to live in the community in their own homes for as long as possible. Such factors of social change are expected to lead to larger numbers of older people requiring community care services for longer periods. Despite this, there is little information available in the literature on the perceptions and experiences of older people regarding community-based care and support. This study explores the lived experience of a small group of older people living in South East Queensland who were receiving a level of care consistent with the Community Aged Care Package (CACP). It also sought to examine the impact and meaning of that care on the older person’s overall lifestyle, autonomy, and personal satisfaction. In-depth interviews were undertaken with these older people, and were analysed using Heidegger’s interpretive hermeneutical phenomenological approach. Shared narratives were then explored using Ricoeur’s narrative analysis framework. In order to sensitise the researcher to the unconscious or symbolic aspects of the care experience, Wolfensberger’s social role valorization theory (SRV) was also utilised during a third phase of analysis. Methodological rigour was strengthened within this study through the use of reflexivity and an in-depth member check discussion that was conducted with each participant. The interviews revealed there were significant differences in expectations, understanding, and perceptions between older people and their carers or service providers. The older person perceived care primarily in relational terms, and clearly preferred active participation in their care and a consistent relationship with a primary carer. Older people also sought to maintain their sense of autonomy, lifestyle, home environment, routines, and relationships, as closely as possible to those that existed prior to their requiring assistance. However, these expectations were not always supported by the care model. On the whole, service providers did not always understand what older people perceived was important within the care context. Carers seldom looked beyond the provision of assistance with specific daily tasks to consider the real impact of care on the older person. The study identified that older people reported a range of experiences when receiving care in their own homes. While some developed healthy and supportive connections with their carers, others experienced ageism, abuse, and exploitation. Unsatisfactory interactions at times resulted in a loss, to varying degrees, of their independence, their possessions, and their connectedness with others. There is therefore a need for service providers to pay more attention to the perceptions and self-perceived needs of older people, to avoid unintended or unnecessary negative impacts occurring within care provision. The study provides valuable information regarding the older person’s experience that will assist in supporting the further development and improvement of this model of care. It is proposed that these insights will enable CACPs to cater more closely to the actual needs and preferences of older people, and to avoid causing preventable harm to care recipients.

Large-Eddy Simulation of physiological pulsatile non-newtonian flow in a channel with double constriction

Physiological pulsatile flow in a 3D model of arterial double stenosis, using the modified Power-law blood viscosity model, is investigated by applying Large Eddy Simulation (LES) technique. The computational domain has been chosen is a simple channel with biological type stenoses. The physiological pulsation is generated at the inlet of the model using the first four harmonics of the Fourier series of the physiological pressure pulse. In LES, a top-hat spatial grid-filter is applied to the Navier-Stokes equations of motion to separate the large scale flows from the subgrid scale (SGS). The large scale flows are then resolved fully while the unresolved SGS motions are modelled using the localized dynamic model. The flow Reynolds numbers which are typical of those found in human large artery are chosen in the present work. Transitions to turbulent of the pulsatile non-Newtonian along with Newtonian flow in the post stenosis are examined through the mean velocity, wall shear stress, mean streamlines as well as turbulent kinetic energy and explained physically along with the relevant medical concerns.