Optimization-based Fluid Simulation on Unstructured Meshes

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dc.contributor.authorMisztal, Marek Krzysztofen_US
dc.contributor.authorBridson, Roberten_US
dc.contributor.authorErleben, Kennyen_US
dc.contributor.authorBærentzen, Jakob Andreasen_US
dc.contributor.authorAnton, Françoisen_US
dc.contributor.editorKenny Erleben and Jan Bender and Matthias Teschneren_US
dc.date.accessioned2014-02-01T07:23:09Z
dc.date.available2014-02-01T07:23:09Z
dc.date.issued2010en_US
dc.description.abstractWe present a novel approach to fluid simulation, allowing us to take into account the surface energy in a precise manner. This new approach combines a novel, topology-adaptive approach to deformable interface tracking, called the deformable simplicial complexes method (DSC) with an optimization-based, linear finite element method for solving the incompressible Euler equations. The deformable simplicial complexes track the surface of the fluid: the fluid-air interface is represented explicitly as a piecewise linear surface which is a subset of tetrahedralization of the space, such that the interface can be also represented implicitly as a set of faces separating tetrahedra marked as inside from the ones marked as outside. This representation introduces insignificant and controllable numerical diffusion, allows robust topological adaptivity and provides both a volumetric finite element mesh for solving the fluid dynamics equations as well as direct access to the interface geometry data, making inclusion of a new surface energy term feasible. Furthermore, using an unstructured mesh makes it straightforward to handle curved solid boundaries and gives us a possibility to explore several fluid-solid interaction scenarios.en_US
dc.description.seriesinformationWorkshop in Virtual Reality Interactions and Physical Simulation "VRIPHYS" (2010)en_US
dc.identifier.isbn978-3-905673-78-4en_US
dc.identifier.urihttps://doi.org/10.2312/PE/vriphys/vriphys10/011-020en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectCategories and Subject Descriptors (according to ACM CCS): Computer Graphics [I.3.5]: Computational Geometry and Object Modeling -Physically based modeling Computer Graphics [I.3.7]: Three-Dimensional Graphics and Realism -Animationen_US
dc.titleOptimization-based Fluid Simulation on Unstructured Meshesen_US
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