Numerical Fluid Mechanics

Course Description

Introduction to numerical methods and MATLAB: errors, condition numbers and roots of equations. Navier-Stokes. Direct and iterative methods for linear systems. Finite differences for elliptic, parabolic and hyperbolic equations. Fourier decomposition, error analysis and stability. High-order and compact finite-differences. Finite volume methods. Time marching methods. Navier-Stokes solvers. Grid generation. Finite volumes on complex geometries. Finite element methods. Spectral methods. Boundary element and panel methods. Turbulent flows. Boundary layers. Lagrangian Coherent Structures. Subject includes a final research project.

Lectures: Tuesday/Thursday | 11:00AM-12:30PM | Room 1-150
Recitations: Tuesday | 4:00PM-5:00PM | Room 1-135
Stellar Website | Detailed Class Schedule for Spring 2019

Meet the class staff

Prof. Pierre F. J. Lermusiaux

Professor of Mechanical Engineering and Ocean Science and Engineering at MIT

Room 5-207B, 77 Massachusetts Avenue
Cambridge, MA 02139-4301

Teaching Assistant:
Wael H. Ali

Third Year Graduate Student in MechE-CSE at MIT

Room 5-426a, 77 Massachusetts Avenue
Cambridge, MA 02139-4301

Lisa Mayer

Aministrative Assistant II in Mechanical Engineering at MIT

Room 5-207, 77 Massachusetts Avenue
Cambridge, MA 02139-4301

Class Projects


During my time at MIT my favorite course was Numerical Fluid Mechanics! It really cemented my understanding of Fluid Mechanics and allowed me to explore modeling and simulation through programming. The problem sets were unique and challenging and I loved seeing the visualization of computations once I had the assignments figured out!

CDR Chad N. Tidd (US Navy)