Implementation of a Moving Mesh VOF-Based Interface Capturing Method with Application to Low Speed Water Entry Dynamics

摘要

A bounded compressive flux blending scheme is used as the basis for implementing a geometrically conservative VOF-based interface capturing method for moving and deforming meshes in an existing incompressible flow solver. Several significant implementation details associated with conservation laws and time-dependent meshes are discussed such as a geometrically conservative prescription for the volume fraction face flux, implementation of a high-resolution bounded compressive flux blending scheme as a 'deferred correction' to a first-order upwind prescription, and the conservative limiting of the volume fraction flux to sensibly bounded values in a multi-dimensional moving mesh implementation. The resulting interface capturing method is first validated using several well-known two-fluid interfacial flows using fixed meshes including a transient dam break and steady-state Wigley hull form problems. The method is then applied to the transient problem of a falling wedge in a container to demonstrate the efficacy of the interface capturing method when applied to a two-fluid interfacial flow with moving boundaries and a deforming mesh.