Gauges

With AMRCLAW in two space dimensions it is possible to specify gauge locations as points (x,y) where the values of all components of q should be output every time step during the computation over some time range (t1,t2). The addition of a time range is new in svn revision 328.

Gauges are useful in several ways, e.g.:

  1. To compare computational results to measurements from physical gauges such as a pressure gauge or tide gauge that record data as a function of time at a single point,
  2. To better visualize how the solution behaves at a single point,
  3. To better compare results obtained with different methods or grid resolutions. Comparing two-dimensional pcolor or contour plots can be difficult whereas comparing to curves that give the solution as a function of time often reveals more clearly differences in accuracy or nonphysical oscillations.

To use gauges, include the line:

call setgauges()

in your file setprob.f. This reads in the gauge locations from the file setgauges.data. This file should have one line giving the number of gauges and the following lines specify information for each gauge in the format:

gaugeno  x  y  t1  t2

Rather than creating this file by hand, it is easiest to do this in your setrun.py file by including lines of the form:

clawdata.gauges = []
clawdata.gauges.append([gaugeno, x, y, t1, t2])

where the second line is repeated as many times as desired with different values of the parameters. From this information the setgauges.data file will be automatically created when you do “make .data” or “make .output”.

During the computation the value of all components of q at all gauge locations will be output to a single file fort.gauge in the output directory. Lines of this file have the form:

gaugeno  level  t  q[0]  q[1] ...  q[meqn-1]

where level is the AMR level used to determine the q values at this time. Internally the finest level available at each gauge is used, with bilinear interpolation to the gauge locations from the 4 nearest cell centers.

If you wish to change what is output at these points, you should copy the library routine dumpgauge.f to your own directory and modify it appropriately.

Plotting tools

Several Python plotting tools are available to plot the gauge data, so you do not have to parse the file fort.gauge yourself. In the setplot Python script you can specify plots that are to be done for each gauge, similar to the manner in which you can specify plots that are to be done for each time frame. For example, to plot the component q[0] at each gauge, include in setplot lines of this form:

plotfigure = plotdata.new_plotfigure(name='q[0] at gauges', figno=300, \
                type='each_gauge')

# Set up for axes in this figure:
plotaxes = plotfigure.new_plotaxes()
plotaxes.xlimits = 'auto'
plotaxes.ylimits = [-1.5, 1.5]
plotaxes.title = 'q[0]'

# Plot q[0] as blue line:
plotitem = plotaxes.new_plotitem(plot_type='1d_plot')
plotitem.plot_var = 0
plotitem.plotstyle = 'b-'

Note that plotdata.new_plotfigure is called with type=’each_gauge’ which denotes that this plot is to be produced for each gauge found in setgauges.data. (When type is not specified, the default is type=’each_frame’ for time frame data).

If you type:

$ make .plots

then html files will be created for the gauge plots along with the time frame plots and will all show up in the index (usually in _plots/_PlotIndex.html).

When using Iplotclaw to interactively view plots, try:

PLOTCLAW> plotgauge 1

to produce the plot for gauge 1, or simply:

PLOTCLAW> plotgauge

to loop through all gauges.

You can of course specify more than one plotitem on each plotaxes if you want. For example to plot the each gauge from the current run as a blue line and the same gauge from some previous run (perhaps with a different grid resolution) as a red line, you could add the following lines to the above example:

# Plot q[0] from previous run as red line:
plotitem = plotaxes.new_plotitem(plot_type='1d_plot')
plotitem.plot_var = 0
plotitem.plotstyle = 'r-'
plotitem.outdir = '_output_from_previous_run'

Plotting gauge locations

It is often convenient to plot the locations of the gauges on pcolor or contour plots each time frame. You can do this as follows, for example:

plotfigure = plotdata.new_plotfigure(name='pcolor', figno=0)
plotaxes = plotfigure.new_plotaxes('pcolor')
plotitem = plotaxes.new_plotitem(plot_type='2d_pcolor')
# set other attributes as desired

def addgauges(current_data):
    from pyclaw.plotters import gaugetools
    gaugetools.plot_gauge_locations(current_data.plotdata, \
         gaugenos='all', format_string='ko', add_labels=True)

plotaxes.afteraxes = addgauges

You can replace gaugenos=’all’ by gaugenos=[1,2] or other list of specific gauges to plot. The format_string above specifies a black dot at each gauge location and add_labels=True means that the gauge number will appear next to each gauge.

If you want more control over this plotting you can of course copy the function plot_gauge_locations from pyclaw.plotters.gaugetools.py to your setplot.py file and modify at will.

Examples

To see an example of the use of gauges see:

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