On a SAV-MAC scheme for the Cahn-Hilliard-Navier-Stokes Phase Field Model
arXiv:1905.08504
Abstract
We construct a numerical scheme based on the scalar auxiliary variable (SAV) approach in time and the MAC discretization in space for the Cahn-Hilliard-Navier-Stokes phase field model, and carry out stability and error analysis. The scheme is linear, second-order, unconditionally energy stable and can be implemented very efficiently. We establish second-order error estimates both in time and space for phase field variable, chemical potential, velocity and pressure in different discrete norms. We also provide numerical experiments to verify our theoretical results and demonstrate the robustness and accuracy of the our scheme.
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- A highly efficient and accurate exponential semi-implicit scalar auxiliary variable (ESI-SAV) approach for dissipative system
- A fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities
- An efficient and convergent finite element scheme for Cahn--Hilliard equations with dynamic boundary conditions