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To obtain derivatives of the pressure and velocity fields with sub-grid accuracy, they are extrapolated across interfaces using continuous variables based on physical properties. The numerical methods that we present are easy to implement and do not impact the performance of existing solvers. Small-scale fluid motions, such as capillary instability, breakup of liquid sheets, and bubbly water can all be successfully animated.<\/jats:p>","DOI":"10.1145\/1073204.1073283","type":"journal-article","created":{"date-parts":[[2005,11,7]],"date-time":"2005-11-07T16:00:45Z","timestamp":1131379245000},"page":"915-920","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":117,"title":["Discontinuous fluids"],"prefix":"10.1145","volume":"24","author":[{"given":"Jeong-Mo","family":"Hong","sequence":"first","affiliation":[{"name":"Korea University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chang-Hun","family":"Kim","sequence":"additional","affiliation":[{"name":"Korea University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2005,7]]},"reference":[{"key":"e_1_2_2_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(92)90240-Y"},{"key":"e_1_2_2_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/545261.545289"},{"key":"e_1_2_2_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-9991(67)90037-X"},{"key":"e_1_2_2_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2004.01.032"},{"key":"e_1_2_2_5_1","unstructured":"Dyke M. 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