Ahead of Print article · Journal article
Multiphase Flow of Immiscible Fluids on Unstructured Moving Meshes
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.
Language: | English |
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Publisher: | IEEE |
Year: | 2013 |
Pages: | 4-16 |
ISSN: | 21609306 , 10772626 and 19410506 |
Types: | Ahead of Print article and Journal article |
DOI: | 10.1109/TVCG.2013.97 |
ORCIDs: | 0000-0002-7540-1330 , 0000-0001-6808-4747 and Bærentzen, Jakob Andreas |
Animation DSC Fluid animation Fluid flow GPU Lagrangian approach Optimization Physics Simulation animation computational fluid dynamics computer animation deformable simplicial complex diagonal Schur complement discretization matches element quality finite element approach flow simulation fluid simulation immiscible fluids mesh generation mesh optimization operations multiphase flow optimisation optimization methods optimization problem physics-based modeling pressure pressure fields second-order surface energy solubility unstructured moving meshes unstructured tetrahedral mesh velocity velocity fields