"Numerical Fluid Mechanics" is a Course materials drawn from MIT Open Learning and catalogued under Mathematics for Undergraduate / College. From the source: This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic… Slide Collection preserves the upstream link, the original creator credit and the licensing terms; download the file to use it in a classroom, study group or revision plan.
About this presentation
This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include 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; and Lagrangian coherent structures (LCSs). Prof. Pierre Lermusiaux is very grateful to the teaching assistants Dr. Matt Ueckermann, Dr. Tapovan Lolla, Mr. Jing Lin, and Mr. Arpit Agarwal for their contributions to the course over the years.
How to study this deck
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Undergraduate viewers should treat this as a scaffolding for deeper reading — the slides outline the territory, but the textbook chapters and primary sources remain the actual content.
Five questions to test your understanding
- What is the single most important claim on the first three slides, and what evidence is offered for it?
- Which slide could you remove without losing the argument? Which slide is load-bearing?
- Where does the deck switch from definitions to applications? Mark that transition.
- What would a student who already disagreed with the conclusion need to see to be convinced?
- Which two slides, if combined, would give the clearest one-slide summary of the whole deck?
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