2.29 Numerical Fluid Mechanics, Fall 2011
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2-29-fall-2011/contents/index.htm
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Author(s)
Lermusiaux, Pierre
Alternative Title
Numerical Fluid Mechanics
Date Issued
December 2011
Abstract
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
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