For highly coupled nonlinear incompressible magnetohydrodynamic (MHD) system, a well-
known numerical challenge is how to establish an unconditionally energy stable linearized …

This report presents a new artificial compression method for incompressible, viscous flows.
The method has second order consistency error and is unconditionally, long time, energy …

In this paper, we propose an efficient numerical scheme for magnetohydrodynamics (MHD)
equations. This scheme is based on a second order backward difference formula for time …

An efficient algorithm is proposed and studied for computing flow ensembles of
incompressible magnetohydrodynamic (MHD) flows under uncertainties in initial or …

We propose, analyze, and test a penalty projection-based robust efficient and accurate
algorithm for the Uncertainty Quantification (UQ) of the time-dependent …

We propose, analyze and test two novel fully discrete decoupled linearized algorithms for a
nonlinearly coupled reaction–diffusion N-species competition model with harvesting or …

We propose, analyze, and test a new MHD discretization which decouples the system into
two Oseen problems at each timestep yet maintains unconditional stability with respect to …

The present work is devoted to introduce the backward Euler based modular time filter
method for MHD flow. The proposed method improves the accuracy of the solution without a …

In this paper, we propose, analyze, and test an efficient algorithm for computing ensemble
average of incompressible magnetohydrodynamic (MHD) flows, where instances/members …

Artificial compression methods create nonphysical acoustic waves. Time filters, often used in
geophysical fluid dynamics, are shown in this paper to selectively damp these acoustics. We …