Title: Moment-of-fluid Interface Reconstruction

Speaker: M. Shashkov, T-5, LANL

Date/Time: Thursday, April 9, 2009, 10:00am-11:00am

Location: CSRI Building, Room 279 (Sandia NM)

Brief Abstract: The purpose of the Moment-of-Fluid (MoF) technique, [1, 2], is reconstruction of the mixed-cell material interfaces from the moment data: the volumes and centroids of materials.  The governing principle of the MoF interface reconstruction is the minimization of the first moment defect, subject to preservation of all material volumes. In the case of two materials this principle allows to find the direction of the interface normal, and in the case of multiple materials this principle helps to determine the order, in which the materials should be separated. Compared to the competitors, the Volume-of-Fluid (VoF) interface reconstruction techniques, MoF algorithm shows higher accuracy, allows uniform processing of internal and boundary cells, and is truly robust in treating multi-material mixed-cells. We present some 2D and 3D results.

We will also present a novel adaptive mesh refinement (AMR) strategy based on MoF method, [3], for volume-tracking evolving interface computation. The mesh refinement criterion is based on the deviation of the actual centroid obtained by interface reconstruction from the reference centroid given by moment advection process. The centroid error indicator detects not only high curvature regions but also regions with complicated subcell structures like filaments. A new Lagrange+remap moment advection scheme, which includes Lagrangian backtracking, polygon intersection based remapping and forward tracking to define material centroid is presented.

References
[1] V. Dyadechko and M. Shashkov: Reconstruction of multi-material interfaces from moment data. Journal of Computational Physics, Vol. 227, No. 11, pp. 5361-5384, 2008.
[2] H.-T. Ahn and M. Shashkov: Multi-material interface reconstruction on generalized
polyhedral meshes Journal of Computational Physics, Vol. 226, No.2, pp. 2096-132,
2007.
[3] H.-T. Ahn and M. Shashkov: Adaptive Moment-of-Fluid Method, Journal of Compu-
tational Physics, In Press, doi:10.1016/j.jcp.2008.12.031.

CSRI POC: Pavel Bochev, (505) 844-1990



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