Modeling in Fluid Mechanics: Instabilities and Turbulence
1. Mathematical background
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Dynamical systems page 1 |
Asymptotic behavior and stability page 1 |
Bifurcations page 1 |
Attractors page 1 |
Fractals page 1 |
Tensor analysis page 1 |
Navier-Stokes equations |
2. Models for Hydrodynamic Instabilities
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Stability concepts page 1 |
Kelvin-Helmholtz instability page 1 page 2 |
Rayleigh-Taylor instability page 1 page 2 |
Richtmyer-Meshkov instability page 1 page 2 page3 page4 page 5 page 6 page 7 |
Comparison page 1 |
3. Models of Turbulence
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Symmetries and conservation laws page 1 |
Anomalous scaling exponents page 1 page 2 page 3 page 4 |
Strange attractors and turbulence page 1 page 2 |
Global attractor for Navier-Stokes equation page 1 page 2 |
Hierarchical shell models page 1 page 2 page 3 page 4 |
4. Viscous hypersonic flow
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Governing equations page 1 |
Flow regimes page1 page2 page3 |
Shock wave structure page1 page2 |
Viscous shock layer
page 1 |
Inviscid shock layer page 1 |
Injection gas layer
page 1 |
Viscous boundary and mixing gas layers
page 1 |
Viscous boundary layer with strong suction
page 1 |
Non-uniform flow at inviscid shock layer page1 page2 |
Created by I. Gaissinski and V. Rovenski, September 2017 ©
