Hydrodynamic Stability of Poiseuille Flow, using Spectral Methods in MATLAB
Today we want to investigate the stability of Poiseuille flow in the presence of disturbances in the form of traveling waves.
If we add small amplitude disturbances the laminar domain, will the flow become turbulent, or the waves die out?
We solve the 4th order Orr-Sommerfeld equation using spectral method with Chebyshev differentiation matrices.
Watch the video and tell me what you think in the comments.
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Link to other tutorials mentioned in this video:
What are Chebyshev Polynomials:
• Chebyshev Polynomials | Theory & Prac...
3D plotting in MATLAB:
• Plot 3D in MATLAB
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https://bit.ly/3q1he3v
Here's the full Beginner's Guide to MATLAB playlist:
• Beginner's Guide to MATLAB
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Calculus
Numbers
Fluid Dynamics
Fluid Mechanics
Hydrodynamic Stability
Polynomials
Mathematics
Chebyshev
Chebyshev Polynomials
Chebyshev Polynomials in MATLAB
Chebyshev differentiation matrix
Chebyshev differentiation matrix in MATLAB
MATLAB Chebyshev Polynomials
Chebyshev Approximation
Chebyshev Polynomials Orthogonality
#fluid #stability #spectralmethod
