Ando, Ryoichi ; Thuerey, Nils ; Wojtan, Christopher JIST Austria
ACM Transactions on Graphics
This paper presents a liquid simulation technique that enforces the incompressibility condition using a stream function solve instead of a pressure projection. Previous methods have used stream function techniques for the simulation of detailed single-phase flows, but a formulation for liquid simulation has proved elusive in part due to the free surface boundary conditions. In this paper, we introduce a stream function approach to liquid simulations with novel boundary conditions for free surfaces, solid obstacles, and solid-fluid coupling. Although our approach increases the dimension of the linear system necessary to enforce incompressibility, it provides interesting and surprising benefits. First, the resulting flow is guaranteed to be divergence-free regardless of the accuracy of the solve. Second, our free-surface boundary conditions guarantee divergence-free motion even in the un-simulated air phase, which enables two-phase flow simulation by only computing a single phase. We implemented this method using a variant of FLIP simulation which only samples particles within a narrow band of the liquid surface, and we illustrate the effectiveness of our method for detailed two-phase flow simulations with complex boundaries, detailed bubble interactions, and two-way solid-fluid coupling.
The first author was supported by a JSPS Postdoctoral Fellowship for Research Abroad. This work was also supported by the ERC projects ERC-2014-StG-637014 realFlow and ERC-2014- StG-638176 BigSplash.
SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques
Los Angeles, CA, USA
2015-08-09 – 2015-08-13
Ando R, Thuerey N, Wojtan CJ. A stream function solver for liquid simulations. In: Vol 34. ACM; 2015. doi:10.1145/2766935
Ando, R., Thuerey, N., & Wojtan, C. J. (2015). A stream function solver for liquid simulations (Vol. 34). Presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, Los Angeles, CA, USA: ACM. https://doi.org/10.1145/2766935
Ando, Ryoichi, Nils Thuerey, and Christopher J Wojtan. “A Stream Function Solver for Liquid Simulations,” Vol. 34. ACM, 2015. https://doi.org/10.1145/2766935.
R. Ando, N. Thuerey, and C. J. Wojtan, “A stream function solver for liquid simulations,” presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, Los Angeles, CA, USA, 2015, vol. 34, no. 4.
Ando R, Thuerey N, Wojtan CJ. 2015. A stream function solver for liquid simulations. SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, ACM Transactions on Graphics, vol. 34.
Ando, Ryoichi, et al. A Stream Function Solver for Liquid Simulations. Vol. 34, no. 4, 53, ACM, 2015, doi:10.1145/2766935.
IST-2016-610-v1+1_vecpotential.pdf 21.83 MB