Adaptive mesh refinement techniques for the immersed interface method applied to flow problems.
Adaptive mesh refinement techniques for the immersed interface method applied to flow problems.
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DOI：
10.1016/j.compstruc.2013.03.013
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发表时间：
2013-06-01
影响因子：
4.7
通讯作者：
Song, Peng
中科院分区：
文献类型：
--
作者：
Li, Zhilin;Song, Peng
关键词：
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.
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影响因子：
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通讯作者：
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