A natural extension of the conventional finite volume method into polygonal unstructured meshes for CFD application.

A new general cell-centered solution procedure based upon the conventional control or finite volume (CV or FV) approach has been developed for numerical heat transfer and fluid flow which encompasses both structured and unstructured meshes for any kind of mixed polygon cell. Unlike conventional FV methods for structured and block structured meshes and both FV and FE methods for unstructured meshes, the irregular control volume (ICV) method does not require the shape of the element or cell to be predefined because it simply exploits the concept of fluxes across cell faces. That is, the ICV method enables meshes employing mixtures of triangular, quadrilateral, and any other higher order polygonal cells to be exploited using a single solution procedure. The ICV approach otherwise preserves all the desirable features of conventional FV procedures for a structured mesh; in the current implementation, collocation of variables at cell centers is used with a Rhie and Chow interpolation (to suppress pressure oscillation in the flow field) in the context of the SIMPLE pressure correction solution procedure. In fact all other FV structured mesh-based methods may be perceived as a subset of the ICV formulation. The new ICV formulation is benchmarked using two standard computational fluid dynamics (CFD) problems i.e., the moving lid cavity and the natural convection driven cavity. Both cases were solved with a variety of structured and unstructured meshes, the latter exploiting mixed polygonal cell meshes. The polygonal mesh experiments show a higher degree of accuracy for equivalent meshes (in nodal density terms) using triangular or quadrilateral cells; these results may be interpreted in a manner similar to the CUPID scheme used in structured meshes for reducing numerical diffusion for flows with changing direction.

An extension of Purcell's vector method with applications to panel element equations

The classical Purcell's vector method, for the construction of solutions to dense systems of linear equations is extended to a flexible orthogonalisation procedure. Some properties are revealed of the orthogonalisation procedure in relation to the classical Gauss-Jordan elimination with or without pivoting. Additional properties that are not shared by the classical Gauss-Jordan elimination are exploited. Further properties related to distributed computing are discussed with applications to panel element equations in subsonic compressible aerodynamics. Using an orthogonalisation procedure within panel methods enables a functional decomposition of the sequential panel methods and leads to a two-level parallelism.

Home is where my archive is

The miniaturization and dissemination of audiovisual media into small, mobile assemblages of cameras, screens and microphones has brought "database cinema" (Manovich) into pockets and handbags. In turn, this micro-portability of video production calls for a reconsideration of database cinema, not as an aesthetic but rather as a media ecology that makes certain experiences and forms of interaction possible. In this context the clip and the fragment become a social currency (showing, trading online, etc.), and the enjoyment of a moment or "occasion" becomes an opportunity for recording, extending, preserving and displaying. If we are now the documentarists of our lives (as so many mobile phone adverts imply), it follows that we are also our own archivists as well. From the folksonomies of Flickr and YouTube to the slick "media centres" of Sony, Apple and Microsoft, the audiovisual home archive is a prized territory of struggle among platforms and brands. The database is emerging as the dominant (screen) medium of popular creativity and distribution – but it also brings the categories of "home" and "person" closer to that of the archive.

Insolvency: ordering a sale of the family home

Comments on the Chancery Division ruling in Nicholls v Lan on whether the interests of a bankrupt husband's creditors prevailed over those of the wife, despite her circumstances being exceptional within the meaning of the Insolvency Act 1986 s.335A on account of her suffering from chronic schizophrenia, where the wife was the joint owner of another property which could be realised to buy out the trustee in bankruptcy's half share in the equity of the matrimonial home.