Algorithms and Geometry Representations for Interactive Visualization and Modeling

随着计算机系统处理的数据量的增加，需要新的、更复杂和灵活的算法和数据表示。同时，需要新的可视化和交互技术来帮助用户访问、理解和操作数据。为了将这些模拟用作探索工具，需要在模拟过程中操纵计算和修改模型的能力。 所有这些都意味着传统上独立的任务，包括模型构建，数值模拟和可视化，应该紧密集成。 有一个新的数据表示，是可扩展的，鲁棒的，并适应适应各种计算和可视化算法的需求。这个项目将探讨2D和3D几何的组合表示。当前的目标是找到足够的表示计算具有挑战性的流体流动模拟与动态边界。这些表示将使分层求解器能够计算对流动的连续近似、3D流体的交互式可视化以及模拟的计算参数（例如精度）和物理参数（例如边界条件）的交互式转向。该项目将测试这些表示在流体流动模拟的交互式系统中的可行性。

As the amount of data processed by a computer system increases, new, more complex and flexible algorithms and data representations are required. At the same time, new visualization and interaction techniques are required to help the user access, understand, and manipulate the data. The ability to steer a computation and modify the models during the course of a simulation is required in order to use those simulations as an exploration tool. All this means that traditionally separate tasks, including model construction, numerical simulation and visualization, should be tightly integrated. There is a need for new data representations that are scalable, robust, and adaptive to accommodating a variety of computational and visualization algorithms.This project will explore combined representations of 2D and 3D geometry. The immediate goal is to find adequate representations for computationally challenging fluid flow simulations with dynamic boundaries. These representations will enable hierarchical solvers to compute successive approximations to the flow, interactive visualization of the 3D fluid, and interactive steering of the computational parameters (e.g. precision) and physical parameters (e.g. boundary conditions) of the simulations. The project will test the viability of these representations in an interactive system for fluid flow simulations.