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    Optimization-based Fluid Simulation on Unstructured Meshes

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    Date
    2010
    Author
    Misztal, Marek Krzysztof
    Bridson, Robert
    Erleben, Kenny
    Bærentzen, Jakob Andreas
    Anton, François
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    Abstract
    We 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.
    BibTeX
    @inproceedings {10.2312:PE:vriphys:vriphys10:011-020,
    booktitle = {Workshop in Virtual Reality Interactions and Physical Simulation "VRIPHYS" (2010)},
    editor = {Kenny Erleben and Jan Bender and Matthias Teschner},
    title = {{Optimization-based Fluid Simulation on Unstructured Meshes}},
    author = {Misztal, Marek Krzysztof and Bridson, Robert and Erleben, Kenny and Bærentzen, Jakob Andreas and Anton, François},
    year = {2010},
    publisher = {The Eurographics Association},
    ISBN = {978-3-905673-78-4},
    DOI = {10.2312/PE/vriphys/vriphys10/011-020}
    }
    URI
    http://dx.doi.org/10.2312/PE/vriphys/vriphys10/011-020
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    Eurographics Association copyright © 2013 - 2023 
    Send Feedback | Contact - Imprint | Data Privacy Policy | Disable Google Analytics
    Theme by @mire NV
    System hosted at  Graz University of Technology.
    TUGFhA