{"author":[{"full_name":"Ando, Ryoichi","first_name":"Ryoichi","last_name":"Ando"},{"full_name":"Thuerey, Nils","last_name":"Thuerey","first_name":"Nils"},{"orcid":"0000-0001-6646-5546","full_name":"Wojtan, Christopher J","id":"3C61F1D2-F248-11E8-B48F-1D18A9856A87","last_name":"Wojtan","first_name":"Christopher J"}],"has_accepted_license":"1","doi":"10.1145/2766935","article_number":"53","_id":"1632","pubrep_id":"610","language":[{"iso":"eng"}],"conference":{"name":"SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques","start_date":"2015-08-09","location":"Los Angeles, CA, USA","end_date":"2015-08-13"},"citation":{"mla":"Ando, Ryoichi, et al. <i>A Stream Function Solver for Liquid Simulations</i>. Vol. 34, no. 4, 53, ACM, 2015, doi:<a href=\"https://doi.org/10.1145/2766935\">10.1145/2766935</a>.","ieee":"R. Ando, N. Thuerey, and C. 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.","ama":"Ando R, Thuerey N, Wojtan C. A stream function solver for liquid simulations. In: Vol 34. ACM; 2015. doi:<a href=\"https://doi.org/10.1145/2766935\">10.1145/2766935</a>","ista":"Ando R, Thuerey N, Wojtan C. 2015. A stream function solver for liquid simulations. SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques, ACM Transactions on Graphics, vol. 34, 53.","chicago":"Ando, Ryoichi, Nils Thuerey, and Chris Wojtan. “A Stream Function Solver for Liquid Simulations,” Vol. 34. ACM, 2015. <a href=\"https://doi.org/10.1145/2766935\">https://doi.org/10.1145/2766935</a>.","apa":"Ando, R., Thuerey, N., &#38; Wojtan, C. (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. <a href=\"https://doi.org/10.1145/2766935\">https://doi.org/10.1145/2766935</a>","short":"R. Ando, N. Thuerey, C. Wojtan, in:, ACM, 2015."},"year":"2015","intvolume":"        34","publist_id":"5523","volume":34,"ddc":["000"],"file_date_updated":"2020-07-14T12:45:07Z","acknowledgement":"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.","month":"07","date_updated":"2023-02-23T10:07:37Z","type":"conference","file":[{"date_updated":"2020-07-14T12:45:07Z","file_id":"4909","date_created":"2018-12-12T10:11:52Z","file_size":21831121,"checksum":"7a9afdfaba9209157ce19376e15bc90b","relation":"main_file","content_type":"application/pdf","access_level":"open_access","creator":"system","file_name":"IST-2016-610-v1+1_vecpotential.pdf"}],"day":"27","department":[{"_id":"ChWo"}],"abstract":[{"lang":"eng","text":"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.\r\n\r\nAlthough 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."}],"date_published":"2015-07-27T00:00:00Z","publication_status":"published","issue":"4","publisher":"ACM","scopus_import":1,"oa_version":"Submitted Version","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T11:53:09Z","alternative_title":["ACM Transactions on Graphics"],"title":"A stream function solver for liquid simulations","quality_controlled":"1","status":"public"}