The shortest way to bypass the non-convex section or obstacle respectively has to be considered instead. In these cases the determination of the bi-sectors based on the Euclidean distance is not sufficient any more. Conversely, sections of non-convex boundaries or obstacles might be located in between two originating nodes of a bi-sector. The convex boundaries can be considered easily by intersecting the Voronoi diagram with the convex boundary. The Voronoi diagram can still be calculated based on the Euclidean distance. If boundaries are convex, no obstacles are located in between two originating nodes of a bi-sector. This constitutes a significant limitation of the application of Voronoi diagrams based on the Euclidean distance for the allocation of water demand. Thus, with common Voronoi diagrams consumers, areas or building areas are possibly allocated to nodes which are closest according to the Euclidean distance but are not closest if boundaries or obstacles are considered. In this context, areas with different population densities, for example, constitute boundaries and railway trails and lakes within the supply area, for example, constitute obstacles which cannot be passed by distribution pipes. Boundaries and obstacles are not considered as constraints. The approach to allocate demands using such common Voronoi diagrams follows the assumption that a consumer is connected to the closest existing pipe and to the closest existing node respectively. Various well known and often used algorithms to generate such Voronoi diagrams exist, for example the sweep-algorithm ( Fortune, 1986 Preparata and Shamos, 1985) and the divide-and-conquer-approach ( Shamos, 1975). The calculation of common Voronoi diagrams is based on a set of nodes and the Euclidean distance between the nodes and the points of the areas. Thus, a GIS-application to allocate water demand values to the network model nodes is self-evident and commonly applied. Pipe network data, population distribution and building data are commonly stored and managed in geographic information systems (GIS). Illustration of a Voronoi diagram and a Delaunay triangulation and demand allocation using a Voroinoi diagram The sketch on the right in figure 2 schematically shows the allocation of demands (in this case building areas) to nodes using a Voronoi diagram.
![watercad v8i add bends to pipe watercad v8i add bends to pipe](https://i-loadzone.com/wp-content/uploads/2020/01/28711-2810003.jpg)
In this case the actual demand is calculated by using a coefficient relating the population to a building area unit and a consumption per capita value. Alternatively, building areas can be allocated to the nearest nodes based on the Voronoi diagrams if the correspondent data is available.
![watercad v8i add bends to pipe watercad v8i add bends to pipe](https://communities.bentley.com/resized-image/__size/940x0/__key/communityserver-wikis-components-files/00-00-00-00-32/1016.color-coding.png)
If demands and their location are not known, they can be determined based on the size of the Voronoi regions, the population distribution and density and a consumption per capita value. This approach is also commonly applied to determine, for example, the rainfall catchment areas of inlets of sewer networks. Thus, known demands (value and location) can be allocated to the closest nodes according to the Euclidean distance. The borders of the Voronoi regions constitute of lines called bi-sectors. They represent the catchment areas of the nodes. In the following these areas are referred to as Voronoi regions. The Voronoi diagram is based on a set of nodes and defines one area for each node with every point within the area being closer to the originating node of the area than to any other node. The Voronoi diagram is also known as Thiessen polygon and dual to the Delaunay triangulation (c.f. To allocate demands to the nodes Voronoi diagrams might be used. Besides, location and demand of consumers are often not known, especially in developing countries. demand at a house connection) is modelled as a node. To reduce the model size typically not every known demand (e.g.
#Watercad v8i add bends to pipe software#
The software name and its logo are trademarks of the respective publisher.Illustration of a water distribution system and the corresponding model graph ( Klingel, 2010) All the files are uploaded on external servers.
![watercad v8i add bends to pipe watercad v8i add bends to pipe](https://docplayer.net/docs-images/40/7680362/images/page_4.jpg)
#Watercad v8i add bends to pipe download#
WaterCAD has efficient Modeling capabilities that let you model and optimize a distribution system, perform steady-state / extended period simulation, global demand and roughness adjustements can be made, data can be checked and validated,Äownload Bentley WaterCAD In this post I am going to share with you the free download link with which you can freely and easily download Bentley WaterCAD V8i for free.Äisclaimer: We don't upload any software neither sell them. WaterCAD has special Engineering Libraries in which Transient Valve Curve Editor and Pump Curve editor is a robust inbuilt tools. With the help of WaterCAD you can build network model and perform steady-state analysis, you can perform extended period simulation, precise results can be developed using reports, fire flow analysis, water quality analysis, energy costs, pressure dependent demands, criticality and segmentation.