Welcome to Hans Johnston's Homepage (green is my favorite color!)



I am now an Assistant Professor at the University of Michigan working in Computational Fluid Dynamics.

email: hansjohn@math.lsa.umich.edu



CYLINDER FLOW MOVIES (MPEG)

You may have trouble viewing these on some machines!
If so, download the file and use: mpeg_play -dither color file.mpg


Re=1,000


Re=3,000


Re=9,500, zoom


Re=20,000, zoom


Re=30,000


Re=40,000, zoom


Re=50,000, zoom1, zoom2, T=8.5


Re=50,000 T=10.0 , zoom


Re=100,000, zoom1, zoom2


CYLINDER FLOW MOVIES (MPEG) (reduced file size)


Re=50,000, zoom




FIGURES FOR PAPER


Figures




CYLINDER FLOW DATA (JPEG)

Computation of Cylinder Flow with Integral Series Boundary Condition

Coefficient of Drag(3 images)


L1 Norm of Vorticity (3 images)


Scaled Energy Dissipation


Scaled Time Integration of Boundary Vorticity


Location of Vorticity Extrema (6 images)


Scaled Maximum Vorticity (4 images)


Scaled Minimum Vorticity (4 images)




ZERO-VISCOSITY LIMIT DATA (JPEG)

A Numerical Study of the Zero-Viscosity Limit of the Flow Around a Cylinder


Velocity Difference (2 images)


Localized Flow Field Near Second
Critical Time for Re=50k
T=1.0, 1.4, 1.5, 1.6, 1.7


Tangential Velocity Profiles
Near Second Critical Time for Re=50k (3 images)


Tangential Velocity Profiles for Re=50k (3 images)


Critical Separation Times (2 images)


L1 Norm of Vorticity


Scaled Minimum Vorticity


Scaled Maximum Vorticity


Vorticity PDFs (3 images)


Energy Dissipation (4 images)


Points of Zero Shear Stress (4 images)





CONVERGENCE STUDY: Re=50k (JPEG)

Computation of Re=50k Cylinder Flow on 3 Different Grids

Grid 1: (768,1536) Grid 2: (1024,2048) Grid 3: (1536,3072)


Coefficient of Drag (2 images)


Vorticity: T=2.0 (3 images)


Vorticity: T=2.5 (3 images)


Vorticity: T=3.0 (3 images)





LPBC Driven Cavity(JPEG)


Re=100,000 t=1 (1024 grid)


Re=100,000 t=2 (1024 grid)


Re=100,000 t=2 (1536 grid)



Re=100,000 t=2 Vorticity Comparison




LPBC Driven Cavity(MPEG)


Re=1,000 on 128 grid

Re=1,000 on 256 grid


Re=10,000 on 384 grid

Re=10,000 on 768 grid


Re=25,000 on 512 grid

Re=25,000 on 768 grid

Re=25,000 on 1024 grid


Re=50,000 on 768 grid

Re=50,000 on 1024 grid

Re=50,000 on 1536 grid


Re=75,000


Re=100,000 on 1024 grid

Re=100,000 on 2048 grid




AIR BUBBLE RISING IN WATER(MPEG)

Computed using the Local Pressure Boundary Condition Scheme (LPBC)


Density(short time)


Density(long time)