ρ |
density [kg/m3] |
ψ |
stream function [m2/s] |
U |
applied velocity [m/s] |
ψmax |
maximum stream function [m2/s] |
L |
length of cavity [m] |
Uwall |
applied velocity at top wall [m/s] |
μ |
dynamic viscosity [Pa.s] |
n |
non-negative integer, number of nodes |
Re |
Reynolds number |
i |
column |
A |
aspect ratio |
j |
row |
H |
height of cavity [m] |
Δx |
step size [m] |
u |
velocity in x–direction [m/s] |
Δy |
step size [m] |
v |
velocity in y–direction [m/s] |
us |
slip velocity [m/s] |
g |
gravity acceleration [m/s2] |
ls |
slip length [m] |
u |
applied velocity [m/s] |
gx |
gravity acceleration in x–direction [m/s2] |
θ |
angle [deg] |
gy |
gravity acceleration in y–direction [m/s2] |
t |
time [s] |
Δt |
step time [s] |
∇ |
Gradient operator |
h |
step size [m] |
ζtop |
vorticity at the top [m/s2] |
s fj,i,n |
stream function at previous time [m2/s] |
ζleft |
vorticity at the top [m/s2] |
s fj,i,n+1 |
stream function at previous time [m2/s] |
V |
velocity vector [m/s] |
ζright |
vorticity at the right [m/s2] |
ζ |
vorticity [m/s2] |
ζbottom |
vorticity at the bottom [m/s2] |
e |
steady-state criterion |
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