Civil Engineering Reference
In-Depth Information
volf
used to compute coupling matrix
vvel
element nodal
y
-velocity
weights
weighting coefficients
work
working space
x
“old” solution vector
xmul
gather/scatter array
xnew
“new” solution vector
x coords
x
-coordinates of mesh layout
y
gather/scatter array
y1
gather/scatter array
y coords
y
-coordinates of mesh layout
9.2 Exercises
1. The mesh shown in Figure 9.17 is to be used to model 1D flow in the
x
-direction
between two horizontal plates situated at
y
=
3
.
0. Velocity boundary
conditions are that the top plate is moved with a velocity of
u
=
0
.
0and
y
=−
3
.
0 relative to
the bottom plate which is fixed at
u
=
0. Pressure boundary conditions are that
the pressure on the left and right vertical boundaries are set to
p
=
1
.
0and
p
=
−
1
.
0 respectively, giving a pressure gradient of
∂p/∂x
=−
2
.
0. Given that
µ
=
ρ
=
u=3.
0
p=1.0
p=-1.0
3.0
u=0
1.0
Figure 9.17
