Researching and designing GREAT; the extremely condensed hybrid urban block

The fact that the hybrid building is an extremely condensed urban block which increases the city’s density and contributes to the public realm of the city – horizontally as well vertically - forms one of the key interests of this documentation, research and master studio work. The “ground scraper” is not only public because of the character of its plinth facing surrounding streets, but also in regard to its interior space that is partly accessible to public. As such the European hybrid building potentially extends the city’s public domain horizontally and vertically into the building’s interior and links the public domain inside and outside. Notwithstanding, the hybrid building due to its specific and unconventional character represents a truly urban architecture that was unfortunately often rejected in the name of ‘purity’ of form and function during the twentieth century. Or with other words, its rejection demonstrates the domination of the building’s plan opposed to the section. Today, new frameworks for the city, like the “compact city,” ask for innovative interpretations and designs of building types, worthy to be investigated and proposed. The architectural type of the hybrid building, (re)defines and expresses the relation between architecture and the city in a specific manner. To begin with, the city of Rotterdam forms the first test-case of the Hybrid’s project to document and discuss statements, such as “the hybrid building has a long- standing tradition within this ‘modern city”, “it is a machine for urbanity,” “it enlarges the city,” “it innovates because of its ambitiousness but also because of necessity,” “it combines to activate,” “it asks for extraordinary design intelligence and craftsmanship.” A special way of drawing is developed to document, analyse and compare historical and contemporary representatives of the species. The method includes panoply of scales ranging from the morphological arrangement on the scale of the city, the typologies of stacking diverse programs to the architectural features that establish the mutual relationship between the public space of the city and the interior of the building. Basically the features analysed within the series of drawings are also constitutional for (the success of) every future hybrid building.

Voronoi, Delaunay, and Block-Structured Mesh Refinement for Solution of the Shallow-Water Equations on the Sphere

Alternative meshes of the sphere and adaptive mesh refinement could be immensely beneficial for weather and climate forecasts, but it is not clear how mesh refinement should be achieved. A finite-volume model that solves the shallow-water equations on any mesh of the surface of the sphere is presented. The accuracy and cost effectiveness of four quasi-uniform meshes of the sphere are compared: a cubed sphere, reduced latitude–longitude, hexagonal–icosahedral, and triangular–icosahedral. On some standard shallow-water tests, the hexagonal–icosahedral mesh performs best and the reduced latitude–longitude mesh performs well only when the flow is aligned with the mesh. The inclusion of a refined mesh over a disc-shaped region is achieved using either gradual Delaunay, gradual Voronoi, or abrupt 2:1 block-structured refinement. These refined regions can actually degrade global accuracy, presumably because of changes in wave dispersion where the mesh is highly nonuniform. However, using gradual refinement to resolve a mountain in an otherwise coarse mesh can improve accuracy for the same cost. The model prognostic variables are height and momentum collocated at cell centers, and (to remove grid-scale oscillations of the A grid) the mass flux between cells is advanced from the old momentum using the momentum equation. Quadratic and upwind biased cubic differencing methods are used as explicit corrections to a fast implicit solution that uses linear differencing.

Undulation instability in block-copolymer lamellae subjected to a perpendicular electric field

We examine the stability of lamellar stacks in the presence of an electric field, E-0, applied normal to the lamellae. Calculations are performed with self-consistent field theory (SCFT) supplemented by an exact treatment of the electrostatic energy for linear dielectric materials. The calculations identify a critical electric field, E-0*, beyond which the lamellar stack becomes unstable with respect to undulations. This E-0* rapidly decreases towards zero as the number of lamellae in the stack diverges. Our quantitative predictions for E-0* are consistent with previous experimental measurements by Xu and co-workers.