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Adaptive mesh refinement techniques for the immersed interface method applied to flow problems.
|Title||Adaptive mesh refinement techniques for the immersed interface method applied to flow problems.|
|Publication Type||Journal Article|
|Year of Publication||2013|
|Authors||Li Z, Song P|
|Journal||Computers & structures|
|Date Published||2013 Jun 1|
In this paper, we develop an adaptive mesh refinement strategy of the Immersed Interface Method for flow problems with a moving interface. The work is built on the AMR method developed for two-dimensional elliptic interface problems in the paper  (CiCP, 12(2012), 515-527). The interface is captured by the zero level set of a Lipschitz continuous function φ(x, y, t). Our adaptive mesh refinement is built within a small band of |φ(x, y, t)| ≤ δ with finer Cartesian meshes. The AMR-IIM is validated for Stokes and Navier-Stokes equations with exact solutions, moving interfaces driven by the surface tension, and classical bubble deformation problems. A new simple area preserving strategy is also proposed in this paper for the level set method.
|Alternate Journal||Comput Struct|