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Material Removal - Deformed Mesh

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I am trying to build a simple 2D model using the heat transfer model. I have a constant heat flux through a surface. The regions with temperature higher than the critical temperature evaporate instantaneously. How can I model this phenomenon? On the web, I found several discussions and I think that I need to use either Deformed Geometry (dg) or Moving Mesh (ale). Which is appropriate for material removal? How should I use these modules or is there any model in the model gallery that I can use?

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