{"id":355689,"date":"2026-07-08T23:12:04","date_gmt":"2026-07-08T23:12:04","guid":{"rendered":"https:\/\/peraltafinancing.com\/animation\/spatiotemporal-flip-for-fast-free-surface-and-two-phase-simulation-with-very-large-time-steps\/"},"modified":"2026-07-08T23:12:04","modified_gmt":"2026-07-08T23:12:04","slug":"spatiotemporal-flip-for-fast-free-surface-and-two-phase-simulation-with-very-large-time-steps","status":"publish","type":"post","link":"https:\/\/fivemor.com\/?p=355689","title":{"rendered":"Spatiotemporal FLIP for Fast Free-Surface and Two-Phase Simulation With Very Large Time Steps"},"content":{"rendered":"<p> <br \/>\n<\/p>\n<div id=\"post-4531\">\n<p>\t\t\t\t\t<!-- .entry-meta --><\/p>\n<div class=\"entry-content\">\n<p class=\"wp-block-paragraph\">Bernhard Braun, Rene Winchenbach, Jan Bender, Nils Thuerey<\/p>\n<p class=\"wp-block-paragraph\">We present ST-FLIP, a spatiotemporal extension of the Fluid-Implicit Particle (FLIP) method for incompressible free-surface and two-phase liquid simulation. ST-FLIP enables time steps up to an order of magnitude larger than those typically used in CFL-constrained solvers, while preserving detailed flow structures and visual fidelity. It addresses a common failure mode of large time steps in hybrid particle\u2013grid liquid solvers: temporal under-sampling of particle motion produces aliasing-driven free-surface artifacts after projection. Our key idea is to interpret particles as samples in four-dimensional space-time: in addition to standard spatial jittering, we randomize particle positions along the time axis as well and perform particle-to-grid deposition using a separable 4D kernel. This yields a Monte Carlo estimator of per-step time-slab-integrated particle quantities. Although particles are treated as samples in 4D space-time, our approach works as a lightweight plug-in by collapsing to slab\u2011integrated 3D grid fields for projection. Building on recent particle\u2011based phase\u2011field work, we reuse the particle-to-grid weight accumulators as a conceptual space\u2013time phase field, providing variable\u2011coefficient projection weights and eliminating the need for per\u2011step surface reconstruction. The method can be easily integrated into existing FLIP\/PIC or APIC solvers with negligible additional computational cost per time step. The effectiveness of our approach is demonstrated through a series of comparisons with state-of-the-art solvers, yielding several-fold speedups for multi-billion-particle simulations at high effective 3D resolutions on a single workstation.<\/p>\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/ge.in.tum.de\/2026\/07\/04\/siggraph26-spatiotemporal-flip-for-fast-free-surface-and-two-phase-simulation-with-very-large-time-steps\/\">Spatiotemporal FLIP for Fast Free-Surface and Two-Phase Simulation With Very Large Time Steps<\/a><\/p>\n<\/p><\/div>\n<p><!-- .entry-content --><\/p>\n<div class=\"entry-utility\">\n\t\t\t\t\t\t\tThis entry was posted in <a href=\"https:\/\/www.physicsbasedanimation.com\/category\/uncategorized\/\" rel=\"category tag\">Uncategorized<\/a>. Bookmark the <a href=\"https:\/\/www.physicsbasedanimation.com\/2026\/07\/05\/spatiotemporal-flip-for-fast-free-surface-and-two-phase-simulation-with-very-large-time-steps\/\" title=\"Permalink to Spatiotemporal FLIP for Fast Free-Surface and Two-Phase Simulation With Very Large Time Steps\" rel=\"bookmark\">permalink<\/a>.\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n<p><!-- .entry-utility -->\n\t\t\t\t\t<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Bernhard Braun, Rene Winchenbach, Jan Bender, Nils Thuerey We present ST-FLIP, a spatiotemporal extension of the Fluid-Implicit Particle (FLIP) method for incompressible free-surface and two-phase liquid simulation. ST-FLIP enables time steps up to an order of magnitude larger than those typically used in CFL-constrained solvers, while preserving detailed flow structures and visual fidelity. It addresses [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":354832,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12035],"tags":[528,1689,176864,847,6283,176863,2962,1231,110455],"dealstore":[],"offerexpiration":[],"class_list":["post-355689","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-animation","tag-fast","tag-flip","tag-freesurface","tag-large","tag-simulation","tag-spatiotemporal","tag-steps","tag-time","tag-twophase"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Spatiotemporal FLIP for Fast Free-Surface and Two-Phase Simulation With Very Large Time Steps - Som2ny Network<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/fivemor.com\/?p=355689\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Spatiotemporal FLIP for Fast Free-Surface and Two-Phase Simulation With Very Large Time Steps - Som2ny Network\" \/>\n<meta property=\"og:description\" content=\"Bernhard Braun, Rene Winchenbach, Jan Bender, Nils Thuerey We present ST-FLIP, a spatiotemporal extension of the Fluid-Implicit Particle (FLIP) method for incompressible free-surface and two-phase liquid simulation. ST-FLIP enables time steps up to an order of magnitude larger than those typically used in CFL-constrained solvers, while preserving detailed flow structures and visual fidelity. 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