Optimization-based fluid simulation on unstructured meshes
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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Optimization-based fluid simulation on unstructured meshes. / Misztal, Marek Krzysztof; Bridson, Robert; Erleben, Kenny; Bærentzen, Jakob Andreas; Anton, Francois.
Workshop in Virtual Reality Interactions and Physical Simulation "VRIPHYS" (2010). ed. / Kenny Erleben; Jan Bender; Matthias Teschner. Eurographics Association, 2010. p. 11-20.Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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TY - GEN
T1 - Optimization-based fluid simulation on unstructured meshes
AU - Misztal, Marek Krzysztof
AU - Bridson, Robert
AU - Erleben, Kenny
AU - Bærentzen, Jakob Andreas
AU - Anton, Francois
N1 - Conference code: 7
PY - 2010
Y1 - 2010
N2 - We present a novel approach to fluid simulation, allowing us to take into account the surface energy in a pre- cise manner. This new approach combines a novel, topology-adaptive approach to deformable interface track- ing, 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 tetra- hedralization 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 con- trollable 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 in- clusion 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.
AB - We present a novel approach to fluid simulation, allowing us to take into account the surface energy in a pre- cise manner. This new approach combines a novel, topology-adaptive approach to deformable interface track- ing, 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 tetra- hedralization 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 con- trollable 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 in- clusion 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.
U2 - 10.2312/PE/vriphys/vriphys10/011-020
DO - 10.2312/PE/vriphys/vriphys10/011-020
M3 - Article in proceedings
SN - 978-3-905673-78-4
SP - 11
EP - 20
BT - Workshop in Virtual Reality Interactions and Physical Simulation "VRIPHYS" (2010)
A2 - Erleben, Kenny
A2 - Bender, Jan
A2 - Teschner, Matthias
PB - Eurographics Association
T2 - 7th Workshop on Virtual Reality Interaction and Physical Simulation
Y2 - 11 November 2010 through 12 November 2010
ER -
ID: 172757785