Coupled THINC and level set method: A conservative interface capturing scheme with high-order surface representations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:373

Article

Qian, Longgen^1,2  Wei, Yanhong¹  Xiao, Feng² 

[1] Nanjing Univ Aeronaut & Astronaut, Coll Mat Sci & Technol, Nanjing 211100, Jiangsu, Peoples R China

[2] Tokyo Inst Technol, Dept Mech Engn, Meguro Ku, 2-12-1 i6-29 Ookayama, Tokyo 1528550, Japan

关键词: Moving interface;    Multiphase flow;    VOF;    THINC;    Level set;    High-order interface representation;   

DOI  :  10.1016/j.jcp.2018.06.074

来源: Elsevier

【 摘 要 】

In this paper, we propose a simple and accurate numerical method for capturing moving interfaces on fixed Eulerian grids by coupling the Tangent of Hyperbola Interface Capturing (THINC) method and Level Set (LS) method. The innovative and practically-significant aspects of the proposed method, so-called THINC/LS method, lie in (1) representing the interface with polynomial of high-order (arbitrary order in principle) rather than the plane representation commonly used in the Piecewise Linear Interface Calculation (PLIC) Volume of fluid (VOF) methods, (2) conserving rigorously the mass of the transported VOF field, (3) being able to resolving fine interface structures under mesh resolution, and (4) providing a straightforward and easy-to-code algorithm for 3D implementation. We verified the proposed scheme with the widely used benchmark tests. Numerical results show that this new method can obtain high-order accuracy for interface reconstruction and can produce more accurate results in capturing moving interfaces compared to the classical VOF methods. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free