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math.NA2024
An efficient scheme for approximating long-time dynamics of a class of non-linear models
Jack Coleman, Daozhi Han, Xiaoming Wang
We propose a novel, highly efficient, mean-reverting-SAV-BDF2-based, long-time unconditionally stable numerical scheme for a class of finite-dimensional nonlinear models important…
math.NA2024★ 1 cited
Long-time stable SAV-BDF2 numerical schemes for the forced Navier-Stokes equations
Daozhi Han, Xiaoming Wang
We propose a novel second-order accurate, long-time unconditionally stable time-marching scheme for the forced Navier-Stokes equations. A new Forced Scalar Auxiliary Variable appro…
math.NA2024
A high-order accurate unconditionally stable bound-preserving numerical scheme for the Cahn-Hilliard-Navier-Stokes equations
Yali Gao, Daozhi Han, Sayantan Sarkar
A high-order numerical method is developed for solving the Cahn-Hilliard-Navier-Stokes equations with the Flory-Huggins potential. The scheme is based on the finite element w…