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VRIPHYS
2010

Optimization-based Fluid Simulation on Unstructured Meshes

7 years 12 months ago
Optimization-based Fluid Simulation on Unstructured Meshes
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,...
Marek Krzysztof Misztal, Robert Bridson, Kenny Erl
Added 23 May 2011
Updated 23 May 2011
Type Journal
Year 2010
Where VRIPHYS
Authors Marek Krzysztof Misztal, Robert Bridson, Kenny Erleben, Jakob Andreas Bærentzen, François Anton
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