A 3D adaptive mesh refinement algorithm for multimaterial gas dynamics
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
Reconstructing volume tracking
Journal of Computational Physics
Second-order accurate volume-of-fluid algorithms for tracking material interfaces
Journal of Computational Physics
Adaptive moment-of-fluid method
Journal of Computational Physics
A comparative study of interface reconstruction methods for multi-material ALE simulations
Journal of Computational Physics
Journal of Computational Physics
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
Journal of Computational Physics
Metric-based mesh adaptation for 2D Lagrangian compressible flows
Journal of Computational Physics
A conservative level set method suitable for variable-order approximations and unstructured meshes
Journal of Computational Physics
Journal of Computational Physics
Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
A numerical method for interface reconstruction of triple points within a volume tracking algorithm
Mathematical and Computer Modelling: An International Journal
A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows
Journal of Scientific Computing
The Symmetric Moment-of-Fluid interface reconstruction algorithm
Journal of Computational Physics
Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
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The moment-of-fluid (MoF) method is an extension of popular volume-of-fluid (VoF) technique for tracking material interface in multi-material fluid flows. VoF methods track the cell-wise material volumes and use these data for reconstructing the interfaces in mixed cell. The MoF method goes one step further and, in additional to the volumes, keeps track of the cell-wise material centroids; this approach provides sufficiently more information for the interface reconstruction algorithm. The MoF algorithm reconstructs interfaces in volume-conservative manner, by minimizing the defect of the 1st moment in each mixed cell. In case of two materials, this strategy allows to construct the linear interface in a mixed cell using no material volume data from the neighboring cells. Compared to the VoF interface reconstruction techniques, the MoF algorithm shows higher accuracy and better resolution, allows uniform processing of internal and boundary cells. In this paper we show how the same governing principle (minimization of the 1st-moment defect) can be used to reconstruct the interfaces in case of multiple materials.