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Parallel Computation of the Topological Skeleton of Vector Fields

机译:矢量字段拓扑骨骼的并行计算

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Vector fields occur in many of the problems in science and engineering. In combustion processes, for instance, vector fields describe the flow of the gas. This process can be enhanced using vector field visualization techniques. Also, wind tunnel experiments can be analyzed. An example is the design of an air wing. The wing can be optimized to create a smoother flow around it. To analyze such kind of datasets topological methods that clearly show the whole structure of the vector field in one picture are a very good tool. During the last years, many extensions were proposed for this method. In addition to standard topological methods we also detect closed streamlines since they are a topological feature that completes the topological analysis. To accelerate the computation of such a topological analysis we developed a parallel method to reduce computational time. Therefore, we spread the computation of the separatrices of the topological skeleton to clients of a computer cluster. To test our implementation we use a numerical simulation of a swirling jet with an inflow into a steady medium. We built two different Linux clusters as parallel test systems where we check the performance increase when adding more processors to the cluster. We show that we have a very low parallel overhead due to the neglectable communication expense of our implementation.
机译:传染媒介领域发生在许多科学与工程中的问题。例如,在燃烧过程中,矢量场描述了气体的流动。使用矢量字段可视化技术可以增强该过程。此外,可以分析风洞实验。一个例子是空气翼的设计。机翼可以优化以创造它周围的流畅。分析这种类型的数据集清楚地显示一张图片中的矢量场的整个结构的拓扑方法是一个非常好的工具。在过去几年中,提出了这种方法的许多延伸。除了标准拓扑方法之外,我们还检测到闭合的流线,因为它们是完成拓扑分析的拓扑特征。为了加速这种拓扑分析的计算,我们开发了一种平行的方法来减少计算时间。因此,我们将拓扑骨架的分组计算到计算机集群的客户端。为了测试我们的实现,我们使用旋转喷射的数值模拟,流入稳定介质。我们构建了两个不同的Linux集群作为并行测试系统,在向群集中添加更多处理器时,我们检查性能增加。我们表明,由于我们实施的忽视沟通费用,我们具有非常低的平行开销。

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