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Soccer is a fascinating sport that captures the attention of millions of people in the world. Professional soccer teams, as well as the broadcasting media, have a deep interest in the analysis of soccer matches. Statistical summaries are the most widely used approach to describe a soccer match. However, they often fail to capture the evolution and changes of strategies that happen during a game. In this work, we present visual designs to help understanding a soccer match from the spatiotemporal position of players. We receive as input the coordinates of each player throughout the match, as well as the associated events. We present a pixel-oriented layout that summarizes the changes of player positions and tactical schemes during the match. Also, we revisit a technique used for flow analysis to help us identify where does a player move from a given region in the field. We developed our approach in conjunction with colleagues from physical education with experience in soccer analysis, as well as experts on soccer data extraction. We demonstrate the utility of our approach in several match situations, and provide the feedback given by the experts.

We present a novel approach for the visualization of fracture processes in peridynamics simulations. In peridynamics simulation, materials are represented by material points linked with bonds, providing complex fracture behavior. Our approach first extracts the cracks from each time step by means of height ridge extraction. To avoid deterioration of the structures, we propose an approach to extract ridges from these data without resampling. The extracted crack geometries are then combined into a spatiotemporal structure, with special focus on temporal coherence and robustness. We then show how this structure can be used for various visualization approaches to reveal fracture dynamics, with a focus on physical mechanisms. We evaluate our approach and demonstrate its utility by means of different data sets.

Modern direct gas injectors for natural-gas-powered internal combustion engines operate at ever-increasing pressures to maximize efficiency. At the operating point of current devices, real gas effects already become relevant, for example in the determination of mass flow rates. These effects have to be considered in the design process of such components. Motivated by this fact, we investigate the real gas effects of high-pressure supersonic methane jets. A discontinuous Galerkin spectral element method for computational fluid dynamics is used in combination with a tabulated equation of state for methane. We first evaluate self-similar profiles for subsonic jets to validate our simulation approach. Then we discuss our simulations of a supersonic jet, where we observe well-resolved shocks and transient structures. Additionally, real and ideal gas modeling are compared and we discuss the significant differences in general flow structure as well as density, pressure and mass flow that occur and make an ideal-gas description inappropriate for our simulation. The influence of pressure level and temperature on the behavior of the jet is discussed. We analyze the influence of the thermodynamic and viscous properties of the gas for the shock location and mass flow. The use of a tabulated equation of state makes jet simulations with occurring phase changes possible.