Convective Viscous Cahn-Hilliard/Allen-Cahn Equation: Exact Solutions

A Novel Energy Stable Numerical Scheme for Navier-Stokes-Cahn-Hilliard Two-phase Flow Model with Variable Densities and Viscosities

A novel numerical scheme including time and spatial discretization is offered for coupled Cahn-Hilliard and Navier-Stokes governing equation sys-tem in this paper. Variable densities and viscosities are considered in the nu-merical scheme. By introducing an intermediate velocity in both Cahn-Hilliard equation and momentum equation, the scheme can keep discrete energy law. A decouple approach based on pressure stabilization is implemented to solve the Navier-Stokes part, while the stabilization or convex splitting method is adopt-ed for the Cahn-Hilliard part. This novel scheme is totally decou…

通过指数 Krylov 子空间和 Chebyshev 多项式方法实现 Cahn-Hilliard 方程的显式自适应时间步进

Explicit adaptive time stepping for the Cahn-Hilliard equation by exponential Krylov subspace and Chebyshev polynomial methods

针对 Cahn-Hilliard 方程，本文提出基于 Krylov 子空间的显式指数时间积分方法，并与 Chebyshev 多项式 LIM 格式在固定及自适应步长下比较。