2019 Volume 33 Issue 1 Pages 96-102
A weakly compressible scheme for low-Mach number gas-liquid two-phase flows have been developed for a full-explicit time integration to avoid solving Poisson equation for large-scale two-phase flow simulations. To describe the gas-liquid interface the conservative Allen-Cahn equation, which is one of the phase-field models, is introduced and combined with the continuum equation. The accuracy of numerical results of two-phase flow strongly depends on the mesh resolution near the interface. The AMR(Adaptive Mesh Refinement) method greatly reduces the computational cost to assign high-resolution mesh to the region around the moving interface. We have developed a GPU-code of the tree-based AMR. We choose the node-centered configuration and the interpolation can be closed within a leaf in refining the leaf. We successfully have carried out two-phase flow simulations including very thin liquid film efficiently.
