75 citations · 76 across the 12 of their papers we have counts for
12 papers · 1 filter
An Efficient Second-Order-in-Time Penalty-Projection Ensemble Eddy Viscosity Method for Parameterized Navier-Stokes Flows
Md Mahmudul Islam, Muhammad Mohebujjaman, Jahrul Alam
We propose a novel, robust, and second-order-accurate parameterized penalty-projection ensemble algorithm for incompressible Navier--Stokes flow problems. The resulting linearized…
Efficient and Optimally Accurate Numerical Algorithms for Stochastic Turbulent Flow Problems
Brandiece N. Berry, Md Mahmudul Islam, Muhammad Mohebujjaman +1
In this paper, we first propose a filter-based continuous Ensemble Eddy Viscosity (EEV) model for stochastic turbulent flow problems. We then propose a generic algorithm for a fami…
Efficient, Accurate, and Robust Penalty-Projection Algorithm for Parameterized Stochastic Navier-Stokes Flow Problems
Neethu Suma Raveendran, Md. Abdul Aziz, Sivaguru S. Ravindran +1
This paper presents and analyzes a fast, robust, efficient, and optimally accurate fully discrete splitting algorithm for the Uncertainty Quantification (UQ) of parameterized Stoch…
A simple-to-implement nonlinear preconditioning of Newton's method for solving the steady Navier-Stokes equations
Muhammad Mohebujjaman, Mengying Xiao, Cheng Zhang
The Newton's method for solving stationary Navier-Stokes equations (NSE) is known to convergent fast, however, may fail due to a bad initial guess. This work presents a simple-to-i…
Two Robust, Efficient, and optimally Accurate Algorithms for parameterized stochastic navier-stokes Flow Problems
Neethu Suma Raveendran, Md Abdul Aziz, Muhammad Mohebujjaman
This paper presents and analyzes two robust, efficient, and optimally accurate fully discrete finite element algorithms for computing the parameterized Navier-Stokes Equations (NSE…
A Penalty-projection based Efficient and Accurate Stochastic Collocation Method for Magnetohydrodynamic Flows
Muhammad Mohebujjaman, Julian Miranda, Md. Abdullah Al Mahbub +1
We propose, analyze, and test a penalty projection-based efficient and accurate algorithm for the Uncertainty Quantification (UQ) of the time-dependent Magnetohydrodynamic (MHD) fl…
An efficient algorithm for simulating ensembles of parameterized MHD flow problems
Muhammad Mohebujjaman, Hongwei Wang, Leo G. Rebholz +1
In this paper, we propose, analyze, and test an efficient algorithm for computing ensemble average of incompressible magnetohydrodynamics (MHD) flows, where instances/members corre…
High order efficient algorithm for computation of MHD flow ensembles
Muhammad Mohebujjaman
In this paper, we propose, analyze, and test a new fully discrete, efficient, decoupled, stable, and practically second-order time-stepping algorithm for computing MHD ensemble flo…
Nonintrusive Stabilization of Reduced Order Models for Uncertainty Quantification of Time-Dependent Convection-Dominated Flows
M. Gunzburger, T. Iliescu, M. Mohebujjaman +1
In this paper, we propose a nonintrusive filter-based stabilization of reduced order models (ROMs) for uncertainty quantification (UQ) of the time-dependent Navier-Stokes equations…
Commutation Error in Reduced Order Modeling of Fluid Flows
Birgul Koc, Muhammad Mohebujjaman, Changhong Mou +1
For reduced order models (ROMs) of fluid flows, we investigate theoretically and computationally whether differentiation and ROM spatial filtering commute, i.e., whether the commut…
Physically-Constrained Data-Driven, Filtered Reduced Order Modeling of Fluid Flows
M. Mohebujjaman, L. G. Rebholz, T. Iliescu
In our earlier work, we proposed a data-driven filtered reduced order model (DDF-ROM) framework for the numerical simulation of fluid flows, which can be formally written as \begin…
Second order ensemble simulation for MHD flow in Elsässer variable with noisy input data
Muhammad Mohebujjaman
We propose, analyze and test a fully discrete, efficient second-order algorithm for computing flow ensembles average of viscous, incompressible, and time-dependent magnetohydrodyna…