Numerical Fluid Mechanics

Colorful contour graphs visually demonstrating pressure, velocity, density, and related quantities for lock exchange, warm rising bubble, lid-driven cavity flow, and double-gyre phenomena.

Graphs showing numerical modeling of the following fluid phenomena: lock exchange, warm rising bubble, lid-driven cavity flow, and double-gyre. (Image courtesy of Prof. Pierre Lermusiaux.)


MIT Course Number


As Taught In

Fall 2011



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Course Features

Course Description

This course will provide students with an introduction to numerical methods and MATLAB®. Topics covered throughout the course will include: 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.

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Pierre Lermusiaux. 2.29 Numerical Fluid Mechanics, Fall 2011. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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