Similarity solutions of partial differential equations using DESOLV

We present and describe new reduction routines included in DESOLV which, in many cases, may allow the complete automation of the determination of similarity solutions of partial differential equations.

Scope for further analytical solutions for constant flux infiltration into a semi-infinite soil profile or redistribution in a finite soil profile.

We attempt to generate new solutions for the moisture content form of the one-dimensional Richards' [1931] equation using the Lisle [1992] equivalence mapping. This mapping is used as no more general set of transformations exists for mapping the one-dimensional Richards' equation into itself. Starting from a given solution, the mapping has the potential to generate an infinite number of new solutions for a series of nonlinear diffusivity and hydraulic conductivity functions. We first seek new analytical solutions satisfying Richards' equation subject to a constant flux surface boundary condition for a semi-infinite dry soil, starting with the Burgers model. The first iteration produces an existing solution, while subsequent iterations are shown to endlessly reproduce this same solution. Next, we briefly consider the problem of redistribution in a finite-length soil. In this case, Lisle's equivalence mapping is generalized to account for arbitrary initial conditions. As was the case for infiltration, however, it is found that new analytical solutions are not generated using the equivalence mapping, although existing solutions are recovered.

Towards solutions for a liveable future: progress, practice, performance, people: Proceedings of the 41st Annual Conference of the Architectural Science Association ANZAScA

There is hope! Since Al Gore disclosed the inconvenient truth, the climate has changed. The time of denial is over; the era of well-informed action and sound development is with us. Sustainability has now moved from the fringe, into the mainstream of politics, society, architecture and building practice. In this new context architectural science will contribute to two main tasks: prevent further damage to our environment, and respond to challenges invoked by climate change.
The built environment and human activity within it account for a large part of the problem. Architectural science and architectural practice are part of the solution. The ANZAScA 2007 conference focuses on the solutions architectural science has to offer toward a liveable future through the following generic themes:
progress – the evaluation and improvement of built facilities, new and existing, in terms of energy intensity, financial reward and environmental impact.
practice – the relationship between our cultural heritage, new facility design, retrofit design and its realisation
through construction.
performance – the connection between building operation targets, validation of performance, and user comfort and interaction in new and existing environments.
people – the effect of space on user behaviour, user responsibility and social wealth.
In response to this challenge, architectural science researchers including students, educators, and practitioners at ANZAScA 2007, present a broad range of research activity and concern within the built environment from global issues down to the specific actions of individuals.

Problems and solutions on land reservation system of small and medium-sized cities in China

Based on the analysis of the basic principal of land reservation system of small and medium-sized cities, this paper gives detailed discuss on many problems which exist during the process of land reservation system, such as unclear function position of land reservation organization, single capital resource, unfair land compensation standard and incomplete urban design. It also submits the proposal—choosing one scientific model, establishing suitable organization, opening more channels for raising funds, and setting up reasonable land compensation standard to unify the land reservation in small and medium-sized cities, improve the efficacy of reserve departments, adjust and standardize the land market in order to promote the healthy development of small and medium-sized cities in the long term.