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Fluids in deforming meshes


This paper describes a simple modifi cationto an Eulerian fl uidsimulation that permits the underlying mesh to deform independent of the simulated fl uid's motion. The modifi cationconsists of a straightforward adaptation of the commonly used semi-Lagrangian advection method to account for the mesh's motion. Because the method does not require more interpolation steps than standard semi-Lagrangian integration, it does not suffer from additional smoothing and requires only the added cost of updating the mesh. By specifying appropriate boundary conditions, mesh boundaries can behave like moving obstacles that act on the fl uidresulting in a number of interesting effects. The paper includes several examples that have been computed on moving tetrahedral meshes. © 2005 ACM.

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