论文标题
在移动3D表面上有效的2D模拟
Efficient 2D Simulation on Moving 3D Surfaces
论文作者
论文摘要
我们提出了一种模拟不断发展的表面上流体流动的方法,例如,在水面上的油膜。给定三维空间中的动画表面(例如,从基于粒子的流体模拟中提取),我们在此基础动画上添加了第二个模拟。通常,我们在从动画输入表面获得的水平集表面上求解部分微分方程(PDE)。输入表面的性质被转移到稀疏的体积数据结构中,然后将其用于模拟。我们将单向耦合策略从输入属性引入了模拟,并将质量和动量的保守性添加到现有方法中,以使用最接近的点方法在狭窄的波段中求解PDE。通过这种方式,我们有效地计算了粗分辨率表面上的高分辨率2D模拟。我们的方法有助于视觉效果创建者轻松整合工作流程,以模拟不断发展的表面上的材料流入其现有的生产管道。
We present a method to simulate fluid flow on evolving surfaces, e.g., an oil film on a water surface. Given an animated surface (e.g., extracted from a particle-based fluid simulation) in three-dimensional space, we add a second simulation on this base animation. In general, we solve a partial differential equation (PDE) on a level set surface obtained from the animated input surface. The properties of the input surface are transferred to a sparse volume data structure that is then used for the simulation. We introduce one-way coupling strategies from input properties to our simulation and we add conservation of mass and momentum to existing methods that solve a PDE in a narrow-band using the Closest Point Method. In this way, we efficiently compute high-resolution 2D simulations on coarse input surfaces. Our approach helps visual effects creators easily integrate a workflow to simulate material flow on evolving surfaces into their existing production pipeline.