Advances in Pure Mathematics

Volume 3, Issue 1 (January 2013)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

Google-based Impact Factor: 0.62  Citations  h5-index & Ranking

Accuracy Improvement of PLIC-VOF Volume-Tracking Method Using the Equation of Surface Normal Vector

HTML  Download Download as PDF (Size: 486KB)  PP. 219-225  
DOI: 10.4236/apm.2013.31A031    7,591 Downloads   12,172 Views  Citations


The PLIC/SN method that combines the second-order volume tracking method (PLIC-VOF) with the equation of surface normal (SN) vector was recently proposed (M. Sun, Volume Tracking of Subgrid Particles, International Journal for Numerical Methods in Fluids, Vol. 66, No. 12, 2011, pp. 1530-1554). The method is able to track the motion of a subgrid particle, but the accuracy is not as good as expected on high resolution grids for vortical flows. In this paper, a simple unsplit multidimensional advection algorithm is coupled with the equation of SN vector. The advection algorithm is formulated as the finite volume method, so that it can be used readily for both structured and unstructured grids while maintaining the exact mass conservation. The new method improves the accuracy significantly for high resolution grids. In the well-known test of the time-resolved vortex problem of T = 2, the circular interface is resolved with an accuracy better than ever using the equation of SN vector.

Share and Cite:

M. Sun, "Accuracy Improvement of PLIC-VOF Volume-Tracking Method Using the Equation of Surface Normal Vector," Advances in Pure Mathematics, Vol. 3 No. 1A, 2013, pp. 219-225. doi: 10.4236/apm.2013.31A031.

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.