Reconstruction of multi-material interfaces from moment data

The Moment-of-Fluid(MoF)methodis an extension ofpopular Volume-ofFluid(VoF)techniquefor trackingmaterialinterfaceinmulti-materialfluidflows. VoFmethods trackthe cell-wise material volumes anduse these data for reconstructingtheinterfacesinmixedcell. TheMoFmethodgoes one stepfurther and, in additional to the volumes,keeps trackofthe cell-wise material centroids;this approachprovides sufficientlymore information for the interface reconstruction algorithm. The MoFalgorithm reconstructs interfaces in volume-conservative manner, byminimizingthe defect ofthe 1st moment in eachmixedcell. In case oftwo materials,this strategyallows to construct the linear interface in a mixedcell usingno material volume data from the neighboringcells. Comparedto the VoF interface reconstruction techniques,the MoFalgorithm shows higher accuracy andbetter resolution,allows uniformprocessingofinternal andboundarycells. In thispaperwe showhowthe samegoverningprinciple(minimization ofthe 1st-moment defect)can be usedto reconstruct the interfaces in case ofmultiple materials.