We introduce Dynamic Constrained Grid (DCGrid), a hierarchical and adaptive grid structure for fluid simulation combined with a scheme for effectively managing the grid adaptations. DCGrid is designed to be implemented on the GPU and used in high-performance simulations. Specifically, it allows us to efficiently vary and adjust the grid resolution across the spatial domain and to rapidly evaluate local stencils and individual cells in a GPU implementation. A special feature of DCGrid is that the control of the grid adaption is modeled as an optimization under a constraint on the maximum available memory, which addresses the memory limitations in GPU-based simulation. To further advance the use of DCGrid in high-performance simulations, we complement DCGrid with an efficient scheme for approximating collisions between fluids and static solids on cells with different resolutions. We demonstrate the effectiveness of DCGrid for smoke flows and complex cloud simulations in which terrain-atmosphere interaction requires working with cells of varying resolution and rapidly changing conditions. Finally, we compare the performance of DCGrid to that of alternative adaptive grid structures.

In recent years there has been an increasing shift from traditional work to knowledge work. Students are not always well prepared for such a work mode and struggle with time and energy management, leading to stress and long unhealthy study sessions. There are many applications aimed at developing productivity habits. A few of them are somewhat gamified, although they are especially focused on real-world to-do lists, lacking a strong narrative and appeal, especially to students. We present the serious game BusyBusy, specifically designed for college students. The game revolves around the capture and reflection steps of David Allen’s Getting Things Done methodology. By simulating aspects of student life, BusyBusy facilitates students to practice capturing action-related thoughts in their real life and reflect upon study activity choices in an entertaining and engaging environment.