A fast and practical adaptive finite difference method for the conservative Allen-Cahn model in two-phase flow system
- Authors
- Yang, Junxiang; Jeong, Darae; Kim, Junseok
- Issue Date
- 4월-2021
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Navier-Stokes equation; Conservative Allen-Cahn equation; Adaptive grid; Finite difference scheme
- Citation
- INTERNATIONAL JOURNAL OF MULTIPHASE FLOW, v.137
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF MULTIPHASE FLOW
- Volume
- 137
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/49455
- DOI
- 10.1016/j.ijmultiphaseflow.2021.103561
- ISSN
- 0301-9322
- Abstract
- We present a simple and practical adaptive finite difference method for the conservative Allen-Cahn-Navier-Stokes system. For the conservative Allen-Cahn equation, we use a temporally adaptive narrow band domain embedded in the uniform discrete rectangular domain. The narrow band domain is defined as a neighboring region of the interface. The Navier-Stokes equation is solved in a fully discrete domain with the coarse grid than that for the CAC equation. Various benchmark numerical experiments, such as the pressure jump, droplet deformation in shear flow, falling droplet, and rising bubble, are performed to show that the proposed method is efficient and practical for the simulations of two-phase incompressible flow. (C) 2021 Elsevier Ltd. All rights reserved.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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