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:作为优化住区布局的方法的一部分,我们提出了多种微小有限要素方法的应用。通过提出一个多目标优化问题,我们展示了在风景和建筑物景象方面如何将一定数量的建筑物最佳地安置在一块特定土地上。风流以多微小(刻度元素)方法为模型,使每个建筑物都能够嵌入一个适合边界、可在固定背景网格上自由移动的网格中。这种方法使得在改变建筑物的布局时,无需花费昂贵的网格生成,就可以对众多的定居点布局进行评估。这种观点以考虑到建筑群集中未受阻碍的视图的整体性、以光速化有效计算的措施为模型。