An improved compressive volume of fluid scheme for capturing sharp interfaces using hybridization

Abstract

A Compressive volume-of-fluid (VOF) schemes exhibits numerical diffusion which inhibit them in obtaining a numerically sharp and wrinkle free description of fluid interface which is vital for understanding the complex interfacial dynamics. Therefore, the present study introduces a novel compressive VOF scheme capable of capturing sharp abrupt interfaces at stringent Courant conditions while demonstrating excellent computational efficiency. Moreover, the proposed method is also able to effectively conserve the fluid mass even when subjected to an involved flow field. The performance of the proposed method is evaluated against several canonical pure advection test problems and the results are compared with four established compressive VOF schemes. The quantitative and qualitative analysis of the numerical results assert the ascendancy of the newly introduced scheme. Furthermore, the method exhibits excellent agreement with the literature when applied to the high density ratio problems which involve complex interface topologies dominated by viscous and surface tension forces.