This work presents a method for conforming fluid flow to tensor fields in particle-in-cell simulations. Our focus is on the use of tensor fields as a medium to deflect fluids for computer graphics applications. The anisotropic fluid simulation here presented adapts the Fluid-Implicit-Particle (FLIP) method, by including the tensor field information in the advection and projection steps. Numerical solutions are proposed for adapting the anisotropic advection to the particle-in-cell model and for solving the anisotropic Helmholtz projection for Marker-and-Cell (MAC) grids. Suitable boundary conditions are also provided to ensure proper anisotropic fluid behavior. To evidence the capabilities of this approach, we present simulations with different tensor fields composed of isotropic, linear, and planar tensors. Experimental results show that our method is capable of deflecting or withholding flow in specific directions, according to the characteristics of the underlying tensor field, producing visual outcomes typically encountered in anisotropic media, such as permeable-like effects.

这项工作提出了一种使流体流动与细胞内粒子模拟中的张量场相一致的方法。我们的重点是使用张量场作为介质来偏转计算机图形应用程序的流体。此处介绍的各向异性流体模拟采用了流体隐式粒子 (FLIP) 方法，通过在对流和投影步骤中包含张量场信息。为使各向异性平流适应细胞内粒子模型和求解标记和细胞 (MAC) 网格的各向异性亥姆霍兹投影，提出了数值解。还提供了合适的边界条件以确保适当的各向异性流体行为。为了证明这种方法的能力，我们展示了由各向同性、线性和平面张量组成的不同张量场的模拟。