Multiphase flow of immiscible fluids on unstructured moving meshes

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Publication Type pre-print
School or College College of Engineering
Department Computing, School of
Creator Bargteil, Adam Wade
Other Author Misztal, Marek Krzysztof; Erleben, Kenny; Fursund, Jens; Christensen, Brian Bunch; Bærentzen, Jakob Andreas; Bridson, Robert
Title Multiphase flow of immiscible fluids on unstructured moving meshes
Date 2014-01-01
Description 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, together with suggestions for performance optimization.
Type Text
Publisher Institute of Electrical and Electronics Engineers (IEEE)
Volume 20
Issue 1
First Page 4
Last Page 16
Language eng
Bibliographic Citation Misztal, M. K., Erleben, K., Bargteil, A., Fursund, J., Christensen, B. B., Bærentzen, J. A., & Bridson, R. (2014). Multiphase flow of immiscible fluids on unstructured moving meshes. IEEE Transactions on Visualization and Computer Graphics, 20(1), 4-16.
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Format Medium application/pdf
Format Extent 1,169,214 bytes
Identifier uspace,18417
ARK ark:/87278/s6m93jkk
Setname ir_uspace
Date Created 2014-03-03
Date Modified 2014-03-03
ID 711528
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