[aspect-devel] Duplicate Vertices

Thomas Geenen geenen at gmail.com
Wed Dec 12 08:50:55 PST 2012


potentially we are overestimating the correctness of the data ( used for
visualization) requested by the geodynamic community. probably just
averaging values on the vertices would be good enough for most users.

cheers
Thomas


On Wed, Dec 12, 2012 at 9:13 AM, Walter Landry <wlandry at caltech.edu> wrote:

> Wolfgang Bangerth <bangerth at math.tamu.edu> wrote:
> >
> >> Yes.  I do it for the P-1 pressure elements, but not the Q2 velocity
> >> elements.
> >
> > In the same file? And visualization programs could deal with this?
>
> Yes, I could look at them in both Visit and Paraview.  XDMF is a
> surprisingly flexible format.  To make things more concrete, I am
> attaching an XDMF file from Gale.  I had to compute a lot of
> intermediate values.
>
> Cheers,
> Walter Landry
>
> <?xml version="1.0" ?>
> <!DOCTYPE Xdmf SYSTEM "Xdmf.dtd" []>
> <Xdmf xmlns:xi="http://www.w3.org/2001/XInclude" Version="2.0">
>
> <Domain>
>
>   <Grid Name="FEM_Grid_v-mesh">
>
>     <Time Value="0.000000" />
>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="C0">
>       <DataItem Dimensions="3 2" Format="XML"> 0 0 1 1 8192 1 </DataItem>
>       <DataItem Format="HDF" DataType="Int"  Dimensions="8192
> 9">Mesh.v-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="C1">
>       <DataItem Dimensions="3 2" Format="XML"> 0 1 1 1 8192 1 </DataItem>
>       <DataItem Format="HDF" DataType="Int"  Dimensions="8192
> 9">Mesh.v-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="C2">
>       <DataItem Dimensions="3 2" Format="XML"> 0 2 1 1 8192 1 </DataItem>
>       <DataItem Format="HDF" DataType="Int"  Dimensions="8192
> 9">Mesh.v-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="C3">
>       <DataItem Dimensions="3 2" Format="XML"> 0 3 1 1 8192 1 </DataItem>
>       <DataItem Format="HDF" DataType="Int"  Dimensions="8192
> 9">Mesh.v-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="C4">
>       <DataItem Dimensions="3 2" Format="XML"> 0 4 1 1 8192 1 </DataItem>
>       <DataItem Format="HDF" DataType="Int"  Dimensions="8192
> 9">Mesh.v-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="C5">
>       <DataItem Dimensions="3 2" Format="XML"> 0 5 1 1 8192 1 </DataItem>
>       <DataItem Format="HDF" DataType="Int"  Dimensions="8192
> 9">Mesh.v-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="C6">
>       <DataItem Dimensions="3 2" Format="XML"> 0 6 1 1 8192 1 </DataItem>
>       <DataItem Format="HDF" DataType="Int"  Dimensions="8192
> 9">Mesh.v-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="C7">
>       <DataItem Dimensions="3 2" Format="XML"> 0 7 1 1 8192 1 </DataItem>
>       <DataItem Format="HDF" DataType="Int"  Dimensions="8192
> 9">Mesh.v-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="C8">
>       <DataItem Dimensions="3 2" Format="XML"> 0 8 1 1 8192 1 </DataItem>
>       <DataItem Format="HDF" DataType="Int"  Dimensions="8192
> 9">Mesh.v-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <Topology Type="Quadrilateral" NumberOfElements="32768">
>       <DataItem ItemType="Function"  Dimensions="32768 4"
> Function="JOIN($0; $1; $2; $3)">
>         <DataItem ItemType="Function" Dimensions="8192 4"
> Function="JOIN($0, $1, $2, $3)">
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C0"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C1"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C4"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C3"]
> </DataItem>
>         </DataItem>
>         <DataItem ItemType="Function" Dimensions="8192 4"
> Function="JOIN($0, $1, $2, $3)">
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C1"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C2"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C5"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C4"]
> </DataItem>
>         </DataItem>
>         <DataItem ItemType="Function" Dimensions="8192 4"
> Function="JOIN($0, $1, $2, $3)">
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C3"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C4"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C7"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C6"]
> </DataItem>
>         </DataItem>
>         <DataItem ItemType="Function" Dimensions="8192 4"
> Function="JOIN($0, $1, $2, $3)">
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C4"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C5"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C8"]
> </DataItem>
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_v-mesh"]/DataItem[@Name="C7"]
> </DataItem>
>         </DataItem>
>       </DataItem>
>     </Topology>
>
>     <Geometry Type="XYZ">
>       <DataItem ItemType="Function" Dimensions="33153 3"
> Function="JOIN($0, $1, 0*$1)">
>         <DataItem ItemType="HyperSlab" Dimensions="33153 1" Name="XCoords">
>           <DataItem Dimensions="3 2" Format="XML"> 0 0 1 1 33153 1
> </DataItem>
>           <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="33153 2">Mesh.v-mesh.00000.h5:/vertices</DataItem>
>         </DataItem>
>         <DataItem ItemType="HyperSlab" Dimensions="33153 1" Name="YCoords">
>           <DataItem Dimensions="3 2" Format="XML"> 0 1 1 1 33153 1
> </DataItem>
>           <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="33153 2">Mesh.v-mesh.00000.h5:/vertices</DataItem>
>         </DataItem>
>       </DataItem>
>     </Geometry>
>
>     <Attribute Type="Vector" Center="Node" Name="VelocityField">
>       <DataItem ItemType="Function"  Dimensions="33153 3"
> Function="JOIN($0, $1, 0*$1)">
>         <DataItem ItemType="HyperSlab" Dimensions="33153 1" Name="XValue">
>           <DataItem Dimensions="3 2" Format="XML"> 0 0 1 1 33153 1
> </DataItem>
>           <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="33153 2">VelocityField.00000.h5:/data</DataItem>
>         </DataItem>
>         <DataItem ItemType="HyperSlab" Dimensions="33153 1" Name="YValue">
>           <DataItem Dimensions="3 2" Format="XML"> 0 1 1 1 33153 1
> </DataItem>
>           <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="33153 2">VelocityField.00000.h5:/data</DataItem>
>         </DataItem>
>       </DataItem>
>     </Attribute>
>
>     <Attribute Type="Scalar" Center="Node" Name="StrainRateInvariantField">
>        <DataItem ItemType="HyperSlab" Dimensions="33153 1" >
>           <DataItem Dimensions="3 2" Format="XML"> 0 0 1 1 33153 1
> </DataItem>
>           <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="33153 1">StrainRateInvariantField.00000.h5:/data</DataItem>
>        </DataItem>
>     </Attribute>
>
>     <Attribute Type="Scalar" Center="Node" Name="TemperatureField">
>        <DataItem ItemType="HyperSlab" Dimensions="33153 1" >
>           <DataItem Dimensions="3 2" Format="XML"> 0 0 1 1 33153 1
> </DataItem>
>           <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="33153 1">TemperatureField.00000.h5:/data</DataItem>
>        </DataItem>
>     </Attribute>
>
>     <Attribute Type="Scalar" Center="Node" Name="EnergyEqn-phiDotField">
>        <DataItem ItemType="HyperSlab" Dimensions="33153 1" >
>           <DataItem Dimensions="3 2" Format="XML"> 0 0 1 1 33153 1
> </DataItem>
>           <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="33153 1">EnergyEqn-phiDotField.00000.h5:/data</DataItem>
>        </DataItem>
>     </Attribute>
>
>   </Grid>
>
>   <Grid Name="FEM_Grid_pressure-mesh">
>
>     <Time Value="0.000000" />
>
>     <DataItem ItemType="Function" Dimensions="8192 1" Function="WHERE( $0
> != -1)" Name="N">
>       <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="8192 3">Mesh.pressure-mesh.00000.h5:/connectivity</DataItem>
>     </DataItem>
>     <Topology Type="Quadrilateral" NumberOfElements="32768">
>       <DataItem ItemType="Function" Dimensions="32768 4" Function="($0;
> $1; $2; $3)">
>         <DataItem ItemType="Function" Dimensions="8192 4" Function="(0 +
> 9*$0), (0 + 1 + 9*$0), (0 + 4 + 9*$0), (0 + 3 + 9*$0)">
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="N"]
> </DataItem>
>         </DataItem>
>         <DataItem ItemType="Function" Dimensions="8192 4" Function="(1 +
> 9*$0), (1 + 1 + 9*$0), (1 + 4 + 9*$0), (1 + 3 + 9*$0)">
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="N"]
> </DataItem>
>         </DataItem>
>         <DataItem ItemType="Function" Dimensions="8192 4" Function="(3 +
> 9*$0), (3 + 1 + 9*$0), (3 + 4 + 9*$0), (3 + 3 + 9*$0)">
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="N"]
> </DataItem>
>         </DataItem>
>         <DataItem ItemType="Function" Dimensions="8192 4" Function="(4 +
> 9*$0), (4 + 1 + 9*$0), (4 + 4 + 9*$0), (4 + 3 + 9*$0)">
>           <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="N"]
> </DataItem>
>         </DataItem>
>       </DataItem>
>     </Topology>
>     <DataItem ItemType="HyperSlab" Dimensions="1 129 257" Name="XCoords">
>       <DataItem Dimensions="3 2" Format="XML"> 0 0 1 1 33153 1 </DataItem>
>       <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="33153 2">Mesh.v-mesh.00000.h5:/vertices</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="X0">
>       <DataItem Dimensions="3 3" Format="XML"> 0 0 0 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="XCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="X1">
>       <DataItem Dimensions="3 3" Format="XML"> 0 0 1 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="XCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="X2">
>       <DataItem Dimensions="3 3" Format="XML"> 0 0 2 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="XCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="X3">
>       <DataItem Dimensions="3 3" Format="XML"> 0 1 0 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="XCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="X4">
>       <DataItem Dimensions="3 3" Format="XML"> 0 1 1 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="XCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="X5">
>       <DataItem Dimensions="3 3" Format="XML"> 0 1 2 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="XCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="X6">
>       <DataItem Dimensions="3 3" Format="XML"> 0 2 0 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="XCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="X7">
>       <DataItem Dimensions="3 3" Format="XML"> 0 2 1 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="XCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="X8">
>       <DataItem Dimensions="3 3" Format="XML"> 0 2 2 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="XCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="Function" Dimensions="73728 1" Function="$0, $1,
> $2, $3, $4, $5, $6, $7, $8" Name="X_0">
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X0"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X1"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X2"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X3"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X4"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X5"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X6"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X7"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X8"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="Function" Dimensions="73728 1" Function="$0"
> Name="X">
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X_0"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="1 129 257" Name="YCoords">
>       <DataItem Dimensions="3 2" Format="XML"> 0 1 1 1 33153 1 </DataItem>
>       <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="33153 2">Mesh.v-mesh.00000.h5:/vertices</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="Y0">
>       <DataItem Dimensions="3 3" Format="XML"> 0 0 0 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="YCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="Y1">
>       <DataItem Dimensions="3 3" Format="XML"> 0 0 1 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="YCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="Y2">
>       <DataItem Dimensions="3 3" Format="XML"> 0 0 2 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="YCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="Y3">
>       <DataItem Dimensions="3 3" Format="XML"> 0 1 0 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="YCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="Y4">
>       <DataItem Dimensions="3 3" Format="XML"> 0 1 1 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="YCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="Y5">
>       <DataItem Dimensions="3 3" Format="XML"> 0 1 2 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="YCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="Y6">
>       <DataItem Dimensions="3 3" Format="XML"> 0 2 0 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="YCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="Y7">
>       <DataItem Dimensions="3 3" Format="XML"> 0 2 1 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="YCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1" Name="Y8">
>       <DataItem Dimensions="3 3" Format="XML"> 0 2 2 2 2 2 1 64 128
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="YCoords"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="Function" Dimensions="73728 1" Function="$0, $1,
> $2, $3, $4, $5, $6, $7, $8" Name="Y_0">
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y0"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y1"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y2"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y3"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y4"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y5"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y6"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y7"]
> </DataItem>
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y8"]
> </DataItem>
>     </DataItem>
>     <DataItem ItemType="Function" Dimensions="73728 1" Function="$0"
> Name="Y">
>       <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y_0"]
> </DataItem>
>     </DataItem>
>     <Geometry Type="XYZ">
>       <DataItem ItemType="Function" Dimensions="73728 3"
> Function="JOIN($0, $1, 0*$1)">
>         <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="X"]
> </DataItem>
>         <DataItem
> Reference="XML">/Xdmf/Domain/Grid[@Name="FEM_Grid_pressure-mesh"]/DataItem[@Name="Y"]
> </DataItem>
>       </DataItem>
>     </Geometry>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1"
> Name="PressureField_n0">
>       <DataItem Dimensions="3 2" Format="XML"> 0 0 3 1 8192 1 </DataItem>
>       <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="24576 1">PressureField.00000.h5:/data</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1"
> Name="PressureField_n1">
>       <DataItem Dimensions="3 2" Format="XML"> 1 0 3 1 8192 1 </DataItem>
>       <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="24576 1">PressureField.00000.h5:/data</DataItem>
>     </DataItem>
>     <DataItem ItemType="HyperSlab" Dimensions="8192 1"
> Name="PressureField_n2">
>       <DataItem Dimensions="3 2" Format="XML"> 2 0 3 1 8192 1 </DataItem>
>       <DataItem Format="HDF" NumberType="Float" Precision="8"
> Dimensions="24576 1">PressureField.00000.h5:/data</DataItem>
>     </DataItem>
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>       <DataItem
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>     <DataItem ItemType="Function"  Dimensions="8192 1" Function="($1 -
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>       <DataItem
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>       <DataItem
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>       <DataItem
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>       <DataItem
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>     <DataItem ItemType="Function"  Dimensions="8192 1" Function="$0 + $1 -
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>       <DataItem
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>       <DataItem
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>       <DataItem
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>       <DataItem
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>       <DataItem
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>       <DataItem
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>       <DataItem
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>             <DataItem Format="HDF" NumberType="Char" Dimensions="78816
> 1">materialSwarm.00000.4of4.h5:/HasYielded</DataItem>
>          </Attribute>
>
>       </Grid>
>
>   </Grid>
>
> </Domain>
>
> </Xdmf>
>
>
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