Higher-Order Discontinuous Galerkin Time Discretization & Convection Stabilized Pressure Robust Method for Transient Navier-Stokes Equations

  • Date & Time:
    • April 7, 2025
    • 12:30pm - 02:00pm
  • Venue:
    • Auditorium
Seminar / Workshop

Higher-Order Discontinuous Galerkin Time Discretization & Convection Stabilized Pressure Robust Method for Transient Navier-Stokes Equations

About this Topic

This talk presents a higher-order discontinuous Galerkin (DG) time-stepping approach for solving the time-dependent Navier-Stokes equations with a convection-stabilized, pressure-robust finite element method. Extending Garcia-Archilla & Novo (2024), the fully discrete framework ensures unconditional stability and optimal convergence. Numerical experiments confirm robustness and accuracy, with an analysis of stabilization parameters' impact.

Speaker

Dr. Naveed Ahmed

Associate Professor at Gulf University for Science and Technology

Dr. Naveed Ahmed, Associate Professor at Gulf University for Science and Technology, specializes in applied mathematics, focusing on numerical analysis, scientific computing, and machine learning for PDEs. He is the Chair of the Center for Applied Mathematics & Bioinformatics (CAMB). His research includes computational fluid dynamics, stabilized finite element methods, and AI-driven scientific computing, particularly physics-informed neural networks (PINNs). He has published in top journals like SIAM Journal on Numerical Analysis and Computer Methods in Applied Mechanics and Engineering. Dr. Ahmed is also committed to mentoring students and has held research positions at the University of Kassel and WIAS Berlin.