An adaptive variational procedure for the conservative and positivity preserving Allen-Cahn phase-field model

Vaibhav Joshi, Rajeev K. Jaiman

Abstract: Highlights•New adaptive variational partitioned method for two-phase flows via phase-field.•Provably mass conservative, positivity preserving and energy stable formulation.•Demonstration of efficient mesh adaptivity via newest vertex bisection algorithm.•Large reduction in computational cost compared to non-adaptive Eulerian grid.•Assessment of convergence and sensitivity through benchmark test problems.