Garden Cities: A flawed model for Ecological Urbanism?

Since the beginning of the 20th century, the Garden City model has been a predominant theory emerging from Ecological Urbanism. In his book Howard observed the disastrous effects of rapid urbanization and as a response, proposed the Garden City. Although Howard’s proposal was first published in the late 1800’s, the clear imbalance that Howard aimed to address is still prevalent in the UK today. Each year, the UK wastes nearly 15 million tons of food, despite this an estimated 500,000 people in the UK go without sufficient access to food. While the urban population is rapidly increasing and cities are becoming hubs of economic activity, producing wealth and improving education and access to markets, it is within these cities that the imbalance is most evident, with a significant proportion of the world’s population with unmet needs living in urban areas. Despite Howard’s model being a response to 17th century London, many still consider the Garden City model to be an effective solution for the 21st century. In his book, Howard details the metrics required for the design of a Garden City. This paper will discuss how, by using this methodology and comparing it with more recent studies by Cornell University and Matthew Wheeland (Pure Energies); it is possible to test the validity of Howard’s proposal to establish whether the Garden City model is a viable solution to the increasing pressures of urbanization.
This paper outlines how the analysis of Howard’s proposal has shown the model to be flawed, incapable of producing enough food to sustain the proposed 32,000 population, with a capacity to produce only 23% of the food required to meet the current average UK consumption rate. Beyond the limited productive capacity of Howard’s model, the design itself does little to increase local resilience or the ecological base. This paper will also discuss how a greater understanding of the
Land-share requirements enables the design of a new urban model, building on the foundations initially laid out by Howard and combining a number of other theories to produce a more resilient and efficient model of ecological urbanism.

Parametric CAD model based shape optimization using adjoint functions

Adjoint methods have proven to be an efficient way of calculating the gradient of an objective function with respect to a shape parameter for optimisation, with a computational cost nearly independent of the number of the design variables [1]. The approach in this paper links the adjoint surface sensitivities (gradient of objective function with respect to the surface movement) with the parametric design velocities (movement of the surface due to a CAD parameter perturbation) in order to compute the gradient of the objective function with respect to CAD variables.
For a successful implementation of shape optimization strategies in practical industrial cases, the choice of design variables or parameterisation scheme used for the model to be optimized plays a vital role. Where the goal is to base the optimization on a CAD model the choices are to use a NURBS geometry generated from CAD modelling software, where the position of the NURBS control points are the optimisation variables [2] or to use the feature based CAD model with all of the construction history to preserve the design intent [3]. The main advantage of using the feature based model is that the optimized model produced can be directly used for the downstream applications including manufacturing and process planning.
This paper presents an approach for optimization based on the feature based CAD model, which uses CAD parameters defining the features in the model geometry as the design variables. In order to capture the CAD surface movement with respect to the change in design variable, the “Parametric Design Velocity” is calculated, which is defined as the movement of the CAD model boundary in the normal direction due to a change in the parameter value.
The approach presented here for calculating the design velocities represents an advancement in terms of capability and robustness of that described by Robinson et al. [3]. The process can be easily integrated to most industrial optimisation workflows and is immune to the topology and labelling issues highlighted by other CAD based optimisation processes. It considers every continuous (“real value”) parameter type as an optimisation variable, and it can be adapted to work with any CAD modelling software, as long as it has an API which provides access to the values of the parameters which control the model shape and allows the model geometry to be exported. To calculate the movement of the boundary the methodology employs finite differences on the shape of the 3D CAD models before and after the parameter perturbation. The implementation procedure includes calculating the geometrical movement along a normal direction between two discrete representations of the original and perturbed geometry respectively. Parametric design velocities can then be directly linked with adjoint surface sensitivities to extract the gradients to use in a gradient-based optimization algorithm.
The optimisation of a flow optimisation problem is presented, in which the power dissipation of the flow in an automotive air duct is to be reduced by changing the parameters of the CAD geometry created in CATIA V5. The flow sensitivities are computed with the continuous adjoint method for a laminar and turbulent flow [4] and are combined with the parametric design velocities to compute the cost function gradients. A line-search algorithm is then used to update the design variables and proceed further with optimisation process.