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In this paper, we propose a simple and accurate numerical method forcapturing moving interfaces on fixed Eulerian grids by coupling the Tangent ofHyperbola Interface Capturing (THINC) method and Level Set (LS) method. Theinnovative and practically-significant aspects of the proposed method,so-called THINC/LS method, lie in (1) representing the interface withpolynomial of arbitrary-order rather than the plane representation commonlyused in the Piecewise Linear Interface Calculation (PLIC) Volume of fluid (VOF)methods, (2) conserving rigorously the mass of the transported VOF field, and(3) providing a straightforward and easy-to-code algorithm for implementation.We verified the proposed scheme with the widely used benchmark tests. Numericalresults show that this new method can obtain arbitrary-order accuracy forinterface reconstruction and can produce more accurate results than theclassical VOF methods.

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