A stream function solver for liquid simulations Conference Paper

Author(s): Ando, Ryoichi; Thuerey, Nils; Wojtan, Chris
Title: A stream function solver for liquid simulations
Affiliation IST Austria
Abstract: 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.
Keywords: Fluid; Stream function; Two-phase flow; Vector potential
Conference Title: SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques
Volume: 34
Issue 4
Conference Dates: August 9 - 13, 2015
Conference Location: Los Angeles, CA, USA
ISBN: 1557-7368
Publisher: ACM  
Date Published: 2015-07-27
Start Page: Article number: 53
Sponsor: 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.
DOI: 10.1145/2766935
Open access: yes (repository)
IST Austria Authors
  1. Chris Wojtan
    34 Wojtan
  2. Ryoichi Ando
    5 Ando
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