Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
510501 | Computers & Structures | 2013 | 10 Pages |
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 [12] (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.