138 citations · 719 across the 69 of their papers we have counts for
4 papers · 1 filter
A spectral-vanishing-viscosity stabilization of a higher-order consistent splitting scheme for the Navier-Stokes equations
M Nader Alhomsi, Akram Moustafa, Mohammad Al-Saqqa +2
Huang and Shen developed a novel class of high-order BDF-IMEX consistent-splitting schemes for the incompressible Navier-Stokes equations, giving the first rigorous stability and e…
A consistent-splitting generalized scalar auxiliary variable scheme for the perturbed Boussinesq system
M Nader Alhomsi, Jiahong Wu, Xiaoming Zheng
We propose and analyze a second-order consistent-splitting scheme, based on the generalized scalar auxiliary variable (GSAV) approach, for the two-dimensional perturbed Boussinesq…
Viscosity in error upper bound for a consistent splitting scheme of the Navier-Stokes equations
M Nader Alhomsi, Jiahong Wu, Xiaoming Zheng
This paper investigates the role of viscosity in the error upper bounds of a consistent splitting scheme for the Navier-Stokes equations proposed by Huang and Shen [5]. In their or…
Iterative projection method for unsteady Navier-Stokes equations with high Reynolds numbers
Xiaoming Zheng, Kun Zhao, Jiahong Wu +2
A new iterative projection method is proposed to solve the unsteady Navier-Stokes equations with high Reynolds numbers. The convectional projection method attempts to project the i…