1 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
Numerical algorithms and simulations of boundary dynamic control for optimal mixing in unsteady Stokes flows
Xiaoming Zheng, Weiwei Hu, Jiahong Wu
This work develops an efficient and accurate optimization algorithm to study the optimal mixing problem driven by boundary control of unsteady Stokes flows, based on the theoretica…
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…
Boundary control for optimal mixing via Stokes flows and numerical implementation
Weiwei Hu, Xiaoming Zheng
This work develops scientific computing techniques to further the exploration of using boundary control alone to optimize mixing in Stokes flows. The theoretical foundation includi…