Computational study demonstrates enhanced accuracy in two-phase fluid simulations, indicating a streamlined approach for tracking interfaces and suppressing spurious currents.
Key Points
To overcome numerical challenges in the level set method related to the regularization of the phase-indicating Heaviside function and the discretization of curvature-based interfacial tension.
Formulated an improved level set method employing hyperbolic tangent regularization for the Heaviside step function.
Integrated a potential-form interfacial force model adapted from phase field methods into the level set framework.
Coupled the formulation with the Navier-Stokes equations and evaluated performance across two-phase flow benchmarks, including dynamic droplet impact and static droplet equilibrium.
Successfully integrated the potential-form interfacial force into two-phase Navier-Stokes fluid simulations, avoiding the complexity of curvature-based tension models.
Demonstrated qualitative stability and reduction of spurious currents in the static droplet benchmark compared to the standard curvature-based formulation.