Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm

In this paper, we improve the multi-dimensional THINC (tangent of hyperbola for interface capturing) scheme [F. Xiao, Y. Honma, T. Kono, A simple algebraic interface capturing scheme using hyperbolic tangent function, Int. J. Numer. Meth. Fluid. 48 (2005) 1023]. The THINC scheme is a VOF (volume of...

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Veröffentlicht in:Journal of computational physics 2007-10, Vol.226 (2), p.1985-2002
1. Verfasser: Yokoi, Kensuke
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we improve the multi-dimensional THINC (tangent of hyperbola for interface capturing) scheme [F. Xiao, Y. Honma, T. Kono, A simple algebraic interface capturing scheme using hyperbolic tangent function, Int. J. Numer. Meth. Fluid. 48 (2005) 1023]. The THINC scheme is a VOF (volume of fluid) type method. In the original THINC scheme, one-dimensional THINC scheme was straightforwardly used for multi-dimensional cases. In this paper, we propose the WLIC (weighed line interface calculation) method to extend the THINC scheme to multi-dimension. In the WLIC method, the interface is reconstructed by taking an average of line interfaces along x, y and z coordinates with the weights calculated from surface normal. The WLIC method can extend the THINC scheme to multi-dimension while maintaining simplicity of implementation and achieve a higher accuracy than the original THINC scheme. The WLIC method can readily extend the THINC scheme to three-dimension.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2007.06.020