Re: L-shaped ListContourPlot

• To: mathgroup at smc.vnet.net
• Subject: [mg97162] Re: L-shaped ListContourPlot
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Fri, 6 Mar 2009 05:39:19 -0500 (EST)
• Organization: Uni Leipzig
• References: <goqpdt\$lri\$1@smc.vnet.net>

```Hi,

try

ListContourPlot[data, ColorFunction -> "Rainbow", PlotRange -> All,
RegionFunction -> Function[{x, y, z}, (y < 5) || (x < 2)],
Epilog -> (Point[Take[#, 2]] & /@ data)]

and you see that at x==2 are data points, for 2<x<16 thre are no
data points and making a cut in the drawing where
no data exist will cause errors in the interpolation of the
data for drawing.

Regards
Jens

Flavio wrote:
> Hello,
>
> I have some pressure data coming from an external FE solver, which I
> want to plot in Mathematica, for a L-shaped domain. I have tried to
> use ListContourPlot (or ListDensityPlot), but I have found an
> unexpected behaviour in controlling the shape of the domain with the
> RegionFunction option. I am using Mathematica 6.0.
>
> The command I use for the plot is the following:
>
> ListContourPlot[data, ColorFunction -> "Rainbow", PlotRange -> All,
>  RegionFunction -> Function[{x, y, z}, (y < 5) || (x < 2)]]
>
> Now... if I keep the (x < 2), everything goes well, but if I put (x <
> 3), instead of having an L-shaped domain, I obtain a strange oblique
> boundary. Is there an explanation to this?
>
> In order to test it, you can consider the following data:
>
> data = {{0.`, 0.`, 39.99`}, {0.`, 1.`, 39.99`}, {0.`, 2.`,
>     40.4`}, {0.`, 3.`, 42.24`}, {0.`, 4.`, 41.88`}, {2.`, 0.`,
>     39.37`}, {2.`, 1.`, 39.32`}, {2.`, 2.`, 39.56`}, {2.`, 3.`,
>     44.06`}, {2.`, 4.`, 41.01`}, {4.`, 0.`, 35.72`}, {4.`, 1.`,
>     35.63`}, {4.`, 2.`, 35.48`}, {4.`, 3.`, 37.45`}, {4.`, 4.`,
>     29.15`}, {6.`, 0.`, 30.95`}, {6.`, 1.`, 30.89`}, {6.`, 2.`,
>     30.59`}, {6.`, 3.`, 29.59`}, {6.`, 4.`, 29.7`}, {8.`, 0.`,
>     27.12`}, {8.`, 1.`, 27.12`}, {8.`, 2.`, 27.03`}, {8.`, 3.`,
>     26.33`}, {8.`, 4.`, 26.99`}, {10.`, 0.`, 23.94`}, {10.`, 1.`,
>     23.93`}, {10.`, 2.`, 23.9`}, {10.`, 3.`, 23.56`}, {10.`, 4.`,
>     23.7`}, {12.`, 0.`, 21.05`}, {12.`, 1.`, 21.04`}, {12.`, 2.`,
>     20.99`}, {12.`, 3.`, 20.75`}, {12.`, 4.`, 20.64`}, {14.`, 0.`,
>     18.44`}, {14.`, 1.`, 18.42`}, {14.`, 2.`, 18.29`}, {14.`, 3.`,
>     17.82`}, {14.`, 4.`, 17.37`}, {16.`, 0.`, 16.39`}, {16.`, 1.`,
>     16.36`}, {16.`, 2.`, 16.07`}, {16.`, 3.`, 14.82`}, {16.`, 4.`,
>     12.77`}, {18.`, 0.`, 15.3`}, {18.`, 1.`, 15.28`}, {18.`, 2.`,
>     14.93`}, {18.`, 3.`, 12.67`}, {18.`, 4.`, 11.7`}, {20.`, 0.`,
>     15.15`}, {20.`, 1.`, 15.14`}, {20.`, 2.`, 14.7`}, {20.`, 3.`,
>     12.46`}, {20.`, 4.`, 12.08`}, {0.`, 5.`, 41.35`}, {0.`, 6.`,
>     40.95`}, {0.`, 7.`, 40.94`}, {0.`, 8.`, 41.23`}, {0.`, 9.`,
>     41.7`}, {2.`, 5.`, 37.5`}, {2.`, 6.`, 38.08`}, {2.`, 7.`,
>     39.48`}, {2.`, 8.`, 40.55`}, {2.`, 9.`, 41.42`}, {17.`,
>     5.`, -8.22`}, {17.`, 6.`, -4.96`}, {17.`, 7.`, -3.1`}, {17.`,
>     8.`, -1.44`}, {17.`, 9.`, -0.29`}, {19.`, 5.`, 10.19`}, {19.`,
>     6.`, 5.42`}, {19.`, 7.`, 2.01`}, {19.`, 8.`, 0.52`}, {19.`, 9.`,
>     0.09`}};
>
> Thank you for your help.
>
> Kind regards,
> Flavio Cimolin
>

```

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