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.)

Instructor(s)

MIT Course Number

2.29

As Taught In

Fall 2011

Level

Graduate

Cite This Course

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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Archived versions: Question_avt logo

Lermusiaux, Pierre. 2.29 Numerical Fluid Mechanics, Fall 2011. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mechanical-engineering/2-29-numerical-fluid-mechanics-fall-2011 (Accessed). License: Creative Commons BY-NC-SA


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