Research Initiation Award: Physically-based Modeling and Animating 3D Behaviors in Real-Time Using the Navier-Stokes Equations

研究启动奖：使用纳维-斯托克斯方程进行基于物理的实时建模和 3D 行为动画

• 批准号: 9410459
• 负责人: Niels da Vitoria Lobo
• 金额: $ 9.9万
• 依托单位: The University of Central Florida Board of Trustees
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-08-01 至 1998-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9410459&HistoricalAwards=false
• 关键词: Research; Initiation; Award; Physically; based

9410459 Lobo The increased need for realism in fluid modeling in computer graphics calls for physically-based techniques. In addition, these techniques cannot be as resource-demanding as those on computational fluid dynamics. This proposal concerns the development of an approach that promises real-time performance while providing physical authenticity in modeling the 3D behaviors of the surface of fluids. THe approach is based on solving the full 2D incompressible, viscous, Navier-Stokes equations using a staggered marker-and-cell, to yield the pressure and 2D velocity throughout the modeled 2D finite difference grid. Then, the computed pressures are used to raise the surface of fluid, thus providing the 3D effects and behaviors pf fluid flow, without the exorbiant expense of full 3D computation. As our initial results show, this approach is capable of achieving realistic real-time fluid simulation on a commonly available workstation such as a Silicon Graphics Indigo. Based on our promising intital results, research is proposed to develop this appproach further. To make this approach more useful, we are proposing to improve its flexibility, its stability, and its capabilities. We are also proposing to use the approach in developing algorithms that model blending of different fluids, fluids, that slosh in moving containers, and modeling liquid metals. ***

9410459 Lobo 计算机图形学中对流体建模真实性的需求日益增长，这就需要基于物理的技术。 此外，这些技术不像计算流体动力学技术那样需要资源。 该提案涉及开发一种方法，该方法保证实时性能，同时在流体表面 3D 行为建模中提供物理真实性。 该方法基于使用交错的标记和单元求解完整的二维不可压缩粘性纳维-斯托克斯方程，以产生整个建模的二维有限差分网格中的压力和二维速度。 然后，计算出的压力用于升高流体表面，从而提供流体流动的 3D 效果和行为，而无需花费高昂的完整 3D 计算费用。 正如我们的初步结果所示，这种方法能够在常见的工作站（例如 Silicon Graphics Indigo）上实现逼真的实时流体模拟。 基于我们有希望的初步结果，建议进行研究以进一步发展这种方法。 为了使这种方法更加有用，我们建议提高其灵活性、稳定性和功能。 我们还建议使用该方法开发算法，对不同流体的混合进行建模，在移动容器中晃动，并对液态金属进行建模。 ***