{"author":[{"first_name":"Ryoichi","full_name":"Ando, Ryoichi","last_name":"Ando"},{"last_name":"Thuerey","full_name":"Thuerey, Nils","first_name":"Nils"},{"last_name":"Wojtan","full_name":"Wojtan, Christopher J","first_name":"Christopher J","id":"3C61F1D2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-6646-5546"}],"ddc":["000"],"article_number":"53","year":"2015","type":"conference","month":"07","date_updated":"2023-02-23T10:07:37Z","volume":34,"date_created":"2018-12-11T11:53:09Z","department":[{"_id":"ChWo"}],"_id":"1632","title":"A stream function solver for liquid simulations","intvolume":"        34","file":[{"date_updated":"2020-07-14T12:45:07Z","creator":"system","file_id":"4909","file_name":"IST-2016-610-v1+1_vecpotential.pdf","relation":"main_file","date_created":"2018-12-12T10:11:52Z","content_type":"application/pdf","checksum":"7a9afdfaba9209157ce19376e15bc90b","file_size":21831121,"access_level":"open_access"}],"has_accepted_license":"1","publication_status":"published","oa_version":"Submitted Version","oa":1,"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.","date_published":"2015-07-27T00:00:00Z","day":"27","status":"public","alternative_title":["ACM Transactions on Graphics"],"pubrep_id":"610","quality_controlled":"1","file_date_updated":"2020-07-14T12:45:07Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"4","language":[{"iso":"eng"}],"publist_id":"5523","publisher":"ACM","abstract":[{"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.","lang":"eng"}],"conference":{"location":"Los Angeles, CA, USA","start_date":"2015-08-09","end_date":"2015-08-13","name":"SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques"},"citation":{"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>","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.","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>.","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>.","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.","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."},"doi":"10.1145/2766935","scopus_import":1}