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Moving Mesh Interface Tracking pp. 593-626 $100.00
Authors:  (Shaoping Quan, Large-Scale Complex Systems, Institute of High Performance Computing, A*STAR, Connexis, Singapore)
In multiphase flow simulations, there are a number of approaches that can be used to capture the interfacial dynamics as well as the surrounding fluid flow. Front Tracking, Volume of Fluid, Immersed Boundary, Lattice Boltzmann, and Boundary Integral are only a few examples. The fluid properties are usually smoothed or smeared in the above methods. In this chapter, a newly developed method, Moving Mesh Interface Tracking (MMIT) is introduced. This method treats the interface as a surface mesh, and this surface mesh connects the interior volume element into a single mesh, and then the Navier-Stokes equations are solved on this single mesh. The interface mesh moves with the fluid velocity. Thus, this method has a zero-thickness interface and naturally conserves the total mass of each phase. The jumps in fluid properties and boundary conditions across the interface are directly implemented without smoothing or smearing of the fluid properties. The interface mesh moves in a Lagrangian fashion, while the interior nodes move by a smoothing approach. This motion usually does not guarantee good mesh quality, especially for large deformation. Therefore, mesh adaptations including 3-2 and 2-3 swapping, 4-4 flipping, edge bisection, and edge contraction, are implemented to achieve good mesh quality as well as to obtain computational efficiency. Mesh separation and mesh combination are introduced to handle topological transitions such as droplet pinch-off and interface merging. 

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Moving Mesh Interface Tracking pp. 593-626