Comparison of Different Numerical Interface Capturing Methods for the Simulation of Faraday Waves

Abstract

Faraday instability is a classic problem that occurs due to the relative displacement of the interface that separates two immiscible fluids placed in a closed container under oscillating acceleration parallel to gravity. The interface deformation and the induced flow patterns of this two-phase flow are very complex and numerical simulations could allow a deeper understanding of the dynamics of these systems. Some tests have been performed to establish a reference solution, but further validation is needed in order to ensure the validity of these solutions. In this work, we compare some numerical solutions for the linear and nonlinear regimes using the phase field scheme with predictions obtained using different numerical schemes such as Front Tracking, Volume of Fluid, and Element-based Finite Volume Method. The results show that, in both linear and nonlinear regimes, some important differences in the prediction of the interface dynamics between the methods are observed, and the need to provide a reference numerical solution for future benchmarks is highlighted.

Special Issue on “Advancement in Computational Fluid Mechanics and Optimization Methods”

“…This phenomenon occurs during the relative displacement of the interface separating two immiscible fluids in a closed container. Blanco et al [9] compared different numerical schemes to solve the Navier-Stokes equations for modeling this phenomenon. These authors used commercial ANSYS-CFX software and three different codes based on Front Tracking and Volume of Fluid schemes.…”