A real-time water droplet simulation method based on surface mesh

Abstract

The invention discloses a real-time water droplet simulation method based on a surface grid. The method simplifies the three-dimensional fluid motion model into a surface grid model; iterates and implicitly calculates the average curvature flow at each step to generate the effect of surface tension; The contact angle calculation changes the shape of the water drop when it touches the solid surface; the invention realizes the fusion and splitting of the grid by performing a series of grid optimization and connectivity tests, improves the quality of the grid, and obtains real-time data related to a variety of real physical experiments. Approximate droplet motion effects, including wavelets when droplets collide, truncation of water columns, and flow of droplets on solid surfaces.

Description

technical field [0001] The invention relates to the technical field of physical simulation, in particular to a real-time water droplet simulation method based on surface mesh. Background technique [0002] Water droplets often appear in everyday scenes, such as bathroom glass, car windows in rainy days, etc. Compared with bulky fluids, water droplets have higher viscosity and surface tension, so their simulation is more difficult. Such large viscosities and surface tensions require very small step sizes for accuracy and stability when water droplets are represented in 3D voxels. The 3D voxel representation requires a large memory overhead to record surface details, making it difficult to produce general scenes with many water droplets. Therefore, the general fluid simulation method is not suitable for the simulation of water droplets. [0003] Wang proposed a fluid simulation method based on diving equations (H. Wang, G. Miller, and G. Turk, “Solving general shallow wave ...

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Problems solved by technology

3D voxel representation requires a lot of memory overhead to record surface details, making it very difficult to make general scenes with many water droplets

[0003]Wang proposed a fluid simulation method based on diving equations (H. Wang, G. Miller, and G. Turk, "Solving general shallow wave equations on surfaces, ” in Proceedings of the 2007 ACM SIGGRAPH / Eurographics symposium on Computer animation (SCA 2007), 2007, pp. 229–238), this grid represented by a height field can easily simulate the flow of water droplets on a solid surface, but Not able to handle sunken solid surfaces and breakage of water columns

Thürey uses surface meshes to represent details on the surface of water droplets (N. Thürey, C. Wojtan, M. Gross, and G. Turk, "A multiscale approach to mesh-based surface tension flows," ACM Transactions on Graphics (SIGGRAPH 29, no. 4, pp. 48:1–48:10, July 2010), but their method is computationally intensive and requires offline calculation

[0004]The implicit solution of average curvature flow can refer to Desbrun's paper (M. Desbrun, M. Meyer, P. Schröder, and A. H. Barr, "Implicit fairing of irregular meshes using diffusion and curvature flow,” in Proceedings of the 26th annual conference on Computer graphics and interactive techniques (SIGGRAPH '99), 1999, pp. 317–324; D. Mathieu, M. Mark, S. Peter, and A. H. Barr, "Discrete differential geometry operators in nD." Springer-Verlag, 2000, pp. 35–57), the Laplace-Beltrami operator is used in a sparse linear space, so it can be iterated with a large step size, but the method they proposed cause volume loss

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