Abstract
An original local multigrid method for solving incompressible two-phase flow with surface tension is described. The dynamics of the interface are resolved on a hierarchy of structured and uniform grids (orthogonal Cartesian meshes). A new type of composite boundary condition is proposed to solve the dynamics of the multigrid calculation domains. The interface tracking is described by a TVD VOF algorithm and the equations of motion are solved using an augmented Lagrangian method. The surface tension is calculated using a continuous surface force method. The one-cell local multigrid method is compared to relevant analytical scalar advection tests. Several classical two-phase flow problems, including nonlinear drop oscillations, Rayleigh–Taylor instabilities, and the drop impact on liquid film, have also been considered. The local character of the method and the differences between a single-grid and a multigrid solution are discussed. For unsteady problems, such as the Rayleigh–Taylor instability, the memory costs and the computational time have been reduced by up to 50%.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
