We present an application of multi-mesh finite element methods as part of a methodology for optimizing settlement layouts. By formulating a multi-objective optimization problem, we demonstrate how a given number of buildings may be optimally placed on a given piece of land with respect to both wind conditions and the view experienced from the buildings. The wind flow is modeled by a multi-mesh (cut finite element) method. This allows each building to be embedded in a boundary-fitted mesh which can be moved freely on top of a fixed background mesh. This approach enables a multitude of settlement layouts to be evaluated without the need for costly mesh generation when changing the configuration of buildings. The view is modeled by a measure that takes into account the totality of unobstructed view from the collection of buildings, and is efficiently computed by rasterization.

翻译：我们提出了一种将多网格有限元方法应用于优化聚落布局的方法论。通过构建多目标优化问题，我们展示了如何在给定的土地上，针对风环境与建筑视野两个目标，最优地布置指定数量的建筑。风流动采用多网格（切割有限元）方法进行建模。该方法允许每栋建筑嵌入一个边界适配网格，该网格可在固定的背景网格上自由移动。这种方案使得无需在改变建筑布局时进行昂贵的网格生成，即可评估大量聚落布局方案。视野通过一个衡量所有建筑无遮挡视野总量的指标进行建模，并通过光栅化方法高效计算。