activity
20242026
collaborators

6 papers

math.NA2026

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…

math.AP2026

On higher-order derivative ratios in turbulent flows

Zoran Grujić, Muhammad Mohebujjaman

A computational study of higher-order derivative ratios on a time interval leading to the enstrophy peak is presented in the case of the 3D Taylor-Green vortex, a benchmark problem…

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…

math.NA2024

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…