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Convection of local level set function for moving surfaces and interfaces in forming flow

Abstract : We propose to improve the Level Set method by introducing a convective derivative in the reinitialisation equation. Our approach allows to keep an unitary gradient for Level Set function at the interface. In this way, it is not necessary to regularize periodically the level set since the basic properties are preserved when it is convected. Moreover a local Level Set is introduced by using a sinus like function which enables to ensure a smooth transition. Examples are given in the context of finite element method for forming applications.
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Thierry Coupez. Convection of local level set function for moving surfaces and interfaces in forming flow. Materials Processing and Design, Modeling, Simulation and Applications, NUMIFORM '07: 9th International Conference on Numerical Methods in Industrial Forming Processes, Jun 2007, Porto, Portugal. p. 61-66, ⟨10.1063/1.2740790⟩. ⟨hal-00510556⟩

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