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ME 702 - Computational Fluid Dynamics - Video Lesson 10

By labarba (54)

NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about

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Von Neumann stability analysis; [...]the amplification factor. Examples: (1) convection with CD in space, (2) CD in space, implicit in time, (3) 1st order upwind, (4) implicit upwind (5) diffusion eqn. with CD in space.


This video is part of the open courseware prepared by Prof. Lorena A. Barba.

For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba

More info

Tags: eng, lorena barba, me702, fluids, cfd

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ME 702 - Computational Fluid Dynamics - Video Lesson 9

By labarba (54)

NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about

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The truncation error: the [...]difference between the numerical scheme and the differential equation. Modified Differential Equation: satisfied by the exact solution of the numerical scheme. Demonstrations using convection with central difference in space or 1st-order upwind. CFL condition.


This video is part of the open courseware prepared by Prof. Lorena A. Barba.

For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba

More info

Tags: eng, lorena barba, me702, fluids, cfd

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ME 702 - Computational Fluid Dynamics - Video Lesson 8

By labarba (54)

NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about

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Analysis of numerical [...]schemes—Definitions of consistency, stability, convergence. Different definitions of error. Equivalence Theorem of Lax. The modified differential equation.


This video is part of the open courseware prepared by Prof. Lorena A. Barba.

For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba

More info

Tags: eng, lorena barba, me702, fluids, cfd

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ME 702 - Computational Fluid Dynamics - Video Lesson 7

By labarba (54)

NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about

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Analysis of numerical [...]schemes—Setting the scene: stability. In the assignment several solutions blew up. Why? Many different schemes: upwind schemes, implicit schemes, 2nd-order schemes, leapfrog scheme ... all have different behavior. Demonstration with advection equation.


This video is part of the open courseware prepared by Prof. Lorena A. Barba.

For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba

More info

Tags: eng, lorena barba, me702, fluids, cfd

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ME 702 - Computational Fluid Dynamics - Video Lesson 6

By labarba (54)

NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about

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Practical module: “12 [...]steps to the Navier-Stokes equations”. (Step 5) 2D linear convection. (Step 6) 2D convection. (Step 7) 2D diffusion (Step 8) Burgers’ equation.

*Please note:*
When pseudocode is shown —i.e., something that looks like code, but is not code— remember that it is not meant to be syntactically correct. It is written in a Matlab-esque way, but it is not Matlab code! (This course is taught using Python since 2010.)


This video is part of the open courseware prepared by Prof. Lorena A. Barba.

For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba

More info

Tags: eng, lorena barba, me702, fluids, cfd

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ME 702 - Computational Fluid Dynamics - Video Lesson 4

By labarba (54)

NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about

*********************************

Practical module: “12 [...]steps to the Navier-Stokes equations”. (Step 1) 1D linear convection. (Step 2) 1D nonlinear convection—can generate shocks. (Step 3) 1D diffusion or heat equation.

*Please note:*
When pseudocode is shown —i.e., something that looks like code, but is not code— remember that it is not meant to be syntactically correct. It is written in a Matlab-esque way, but it is not Matlab code! (This course is taught using Python since 2010.)


This video is part of the open courseware prepared by Prof. Lorena A. Barba.

For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba

More info

Tags: eng, lorena barba, me702, fluids, cfd

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ME 702 - Computational Fluid Dynamics - Explains the midpoint scheme

By labarba (54)

NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about

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A one-sided first order FD [...]formula can be considered as a central difference with respect to the midpoint. Graphical explanation.


This video is part of the open courseware prepared by Prof. Lorena A. Barba.

For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba

More info

Tags: eng, lorena barba, me702, fluids, cfd

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ME 702 - Computational Fluid Dynamics (Lecture "zero", part 2)

By labarba (54)

Pencast explaining the derivation of the equation of conservation of momentum in differential form.

More ME 702 videos on iTunes U:
http://itunes.apple.com/itunes-u/computational-fluid-dynamics/id452560554


This video is part of the open [...]courseware prepared by Prof. Lorena A. Barba.

For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba

More info

Tags: eng, lorena barba, me702, fluids, cfd

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ME 702 - Computational Fluid Dynamics - Video Lesson 2

By labarba (54)

NEW ! (August 2014) Prof. Barba is teaching a MOOC titled "Practical Numerical Methods with Python." Check it out:
http://openedx.seas.gwu.edu/courses/GW/MAE6286/2014_fall/about

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Presents the Finite Difference [...](FD) method, the basis of which is the approximation of derivatives using nearby points on a spatial grid. The formulas for backward, forward and central difference are shown, and the accuracy of these FD approximations is determined via Taylor series.


This video is part of the open courseware prepared by Prof. Lorena A. Barba.

For more, visit: http://lorenabarba.com
Follow: https://twitter.com/LorenaABarba

More info

Tags: eng, lorena barba, me702, fluids, cfd

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