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. Students taking the graduate version complete additional assignments.
Lectures: Tuesday/Thursday | 11:00AM-12:30PM | Room 1-150
Recitations: Tuesday | 4:00PM-5:00PM | Room 1-150
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Professor of Mechanical Engineering and Ocean Science and Engineering at MIT
Room 5-207B, MIT
As someone passionate about thermal-fluids engineering, I found that 2.29 equipped me with an indispensable toolkit for numerically tackling real-world engineering problems. This class was the perfect blend of challenge and problem-solving—the detailed, comprehensive walkthrough of fluid simulation fundamentals bridged many gaps in my knowledge and revealed new links between linear systems, numerical schemes, and Navier–Stokes.
Alex Mendez (UG, 2025)
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) (G, 2019)