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en:project:gallery:cooksmembranegeom [2018/11/11 03:08]
admin [Problem definition]
en:project:gallery:cooksmembranegeom [2018/11/11 09:02] (current)
admin
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   * Width W   * Width W
   * Height H   * Height H
-  * Height of east edge HL+  * Height of the east edge HL
   * Top right corner displacement TD   * Top right corner displacement TD
-The solution is to define displacement field that deform ​the unit square into desired shape via "Wrap by vector"​ filter.+The solution is to define displacement field that deforms ​the unit square into desired shape via "Wrap by vector"​ filter.
 The displacement field is defined as the sum of three displacement fields: The displacement field is defined as the sum of three displacement fields:
-    * U1 - responsible of scaling unit square into W by H rectangle +    * U1 - responsible of scaling unit square into W by H rectangle ​: $[x\cdot W, y\cdot H]$ 
-    * U2 - responsible of scaling east edge from length H to length HL. +    * U2 - responsible of scaling east edge from length H to length HL : $[0, -(H-HL)\cdot x\cdot y]$
-    * U2 - responsible of translating east edge vertically by distance H+TD-HL.+    * U3 - responsible of translating east edge vertically by distance H+TD-HL ​: $[0, (H+TD-HL)\cdot x]$. 
 + 
 +The visualization pipeline: 
 +{{ :​en:​project:​gallery:​cooksmembranevispipeline.png |}}
  
 Here one can find {{ :​en:​project:​gallery:​paraview:​cooksmembranegeom.pvsm | ParaView state file with the solution}}. Here one can find {{ :​en:​project:​gallery:​paraview:​cooksmembranegeom.pvsm | ParaView state file with the solution}}.
  
 {{ :​en:​project:​gallery:​cooksmembranegeom.png | Cook's membrane mesh}} {{ :​en:​project:​gallery:​cooksmembranegeom.png | Cook's membrane mesh}}
  • en/project/gallery/cooksmembranegeom.1541902090.txt.gz
  • Last modified: 2018/11/11 03:08
  • by admin