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Efficient implementation of THINC scheme: a simple and practical smoothed VOF algorithm. (English) Zbl 1388.76281
Summary: We improve the multi-dimensional THINC (tangent of hyperbola for interface capturing) scheme [F. Xiao et al., Int. J. Numer. Methods Fluids 48, No. 9, 1023–1040 (2005; Zbl 1072.76046)]. 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.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76T99 Multiphase and multicomponent flows
Software:
SLIC
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