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In this paper, based on the idea of self-adjusting steepness basedschemes[5], a two-dimensional calculation method of steepness parameter isproposed, and thus a two-dimensional self-adjusting steepness based limiter isconstructed. With the application of such limiter to the over-intersectionbased remapping framework, a low dissipation remapping method has been proposedthat can be applied to the existing ALE method.

A second-order self-adjusting steepness based remapping method for arbitrary quadrilateral meshes