3 papers
math.NA2026
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…
math.NA2026
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…
math.NA2026
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…