Adaptive interface-Mesh un-Refinement (AiMuR) based sharp-interface level-set-method for two-phase flow

Adaptive interface-Mesh un-Refinement (AiMuR) based Sharp-Interface Level-Set-Method (SI-LSM) is proposed for both uniform and non-uniform Cartesian-Grid. The AiMuR involves interface location dynamic un-refinement (with merging of the four control volumes) Cartesian grid away from interface. solver only. A detailed numerical methodology presented ghost-fluid method SI-LSM. Advantage novel as compared to traditional SI-LSM demonstrated with a qualitative well quantitative performance study, involving SI-LSMs on coarse fine grid, three sufficiently different two-phase flow problems: dam break, breakup liquid jet drop coalescence. superior - coarser ( $$NU_{c}^{AiMuR}$$ ) almost accurate $$U_{f}$$ takes computational time same that by $$U_{c}$$ ). AMuR existing Mesh Refinement (AMR) former only mesh while later refinement mesh. Moreover, development significant since present adaptive strategy much simpler implement commonly used strategies. can be extended various other multi-physics, multi-disciplinary multi-scale problems interfaces.