In index(), the value of 'image' ends up being the URL 
'/cavityflow/default/cavityflow_plot', which is not the URL of the image you 
want to load. Instead, that URL itself ultimately just returns another URL, 
'/cavityflow/static/images/cavityflow.gif'. So, your img src attribute is 
pointing to a string representation of the URL of the image, not the image 
itself.
 
Instead, just have the index function create the image in /static/images, 
and use the image URL as the src attribute, like this:
 
def index():
    [snip]
    if form.accepts(request.vars, session, keepvalues=True):
        [snip]
        cavityflow_plot()  # this creates the image and saves it in the 
static folder
        image=URL('static','images/cavityflow.gif')
    return dict(form=form, image=image)
Note, as is, the cavityflow_plot() function is accessible as a URL. Since 
you are only using it internally and probably do not need/want to it be 
accessible via URL, you should either give it at least one argument or 
precede its name with a double underscore (controller functions that take 
arguments or start with a double underscore are not publicly exposed -- see 
http://web2py.com/book/default/chapter/04#Dispatching).
 
Anthony

On Tuesday, August 23, 2011 6:02:51 AM UTC-4, Henri Heinonen wrote:

> Ok. 
>
> This is the default/index.html: 
> {{extend 'layout.html'}} 
> <h1>cavityflow</h1> 
> {{=form}} 
> {{if image:}} 
> <hr /> 
> <h2>Constants</h2> 
> <p>These are the constants that were used during the simulations.</p> 
> {{=BEAUTIFY(request.vars)}} 
> <h2>Figure</h2> 
> <img src="{{=image}}" alt="loading..."/> 
> {{pass}} 
>
> This is the default.py: 
> http://pastebin.com/VGE69RG1 
>
> Does this work for you? 
>
> On Aug 22, 1:10 pm, Henri Heinonen <henri.h...@gmail.com> wrote: 
> > default/index.html: 
> > {{extend 'layout.html'}} 
> > <h1>cavityflow</h1> 
> > {{=form}} 
> > {{if image:}} 
> > <hr /> 
> > <h2>Figure</h2> 
> > <img src="{{=image}}" alt="loading..."/> 
> > {{pass}} 
> > 
> > default.py: 
> > def index(): 
> >     form=FORM('nx:', INPUT(_name='nx', _value=20.0), BR(), 'ny:', 
> > INPUT(_name='ny', _value=20.0), BR(), 'nt:', INPUT(_name='nt', 
> > _value=100.0), BR(), 'nit:', INPUT(_name='nit', _value=100.0), BR(), 
> > 'dt:', INPUT(_name='dt', _value=0.01), BR(), 'vis:', 
> > INPUT(_name='vis', _value=0.1), BR(), 'rho:', INPUT(_name='rho', 
> > _value=1.0), BR(), INPUT(_type='submit',_value='Make figure')) 
> > 
> >     image=None 
> >     if form.accepts(request.vars, session, keepvalues=True): 
> >         session.flash = 'Form accepted.' 
> >         session.nx=float(request.vars.nx) 
> >         session.ny=float(request.vars.ny) 
> >         session.nt=float(request.vars.nt) 
> >         session.nit=float(request.vars.nit) 
> >         session.dt=float(request.vars.dt) 
> >         session.vis=float(request.vars.vis) 
> >         session.rho=float(request.vars.rho) 
> >         image=URL(r=request,f='cavityflow_plot') 
> >     return dict(form=form, image=image) 
> > 
> > def cavityflow_plot(): 
> >     return cavityflow(session.nx, session.ny, session.nt, session.nit, 
> > session.dt, session.vis, session.rho) 
> > 
> > def cavityflow(nx, ny, nt, nit, dt, vis, rho): 
> > ...*clip* *clip* ... # Here the application will make one hundred png 
> > images. 
> >            os.system("convert *.png cavityflow.gif") 
> > # What do I need to add in here in order to return the cavityflow.gif 
> > onto the webpage of my application? 
> > 
> > The question is in the source code as a comment line. 
> > 
> > Yours sincerely, Henri Heinonen.

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