Multiphase flow of immiscible fluids on unstructured moving meshes
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Date
2013-07-03
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Citation of Original Publication
M. K. Misztal, K. Erleben, A. Bargteil, et.al, Multiphase flow of immiscible fluids on unstructured moving meshes, Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation Pages 97-106, http://dx.doi.org/10.2312/SCA/SCA12/097-106
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Abstract
In this paper, we present a method for animating multiphase flow of immiscible fluids using unstructured moving
meshes. Our underlying discretization is an unstructured tetrahedral mesh, the deformable simplicial complex
(DSC), that moves with the flow in a Lagrangian manner. Mesh optimization operations improve element quality
and avoid element inversion. In the context of multiphase flow, we guarantee that every element is occupied by
a single fluid and, consequently, the interface between fluids is represented by a set of faces in the simplicial
complex. This approach ensures that the underlying discretization matches the physics and avoids the additional
book-keeping required in grid-based methods where multiple fluids may occupy the same cell. Our Lagrangian
approach naturally leads us to adopt a finite element approach to simulation, in contrast to the finite volume
approaches adopted by a majority of fluid simulation techniques that use tetrahedral meshes. We characterize
fluid simulation as an optimization problem allowing for full coupling of the pressure and velocity fields and
the incorporation of a second-order surface energy. We introduce a preconditioner based on the diagonal Schur
complement and solve our optimization on the GPU. We provide the results of parameter studies as well as a
performance analysis of our method.