Difference between revisions of "Numerical schemes by Tobias Holzmann"

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Go back to [https://wiki.openfoam.com/index.php?title=Day_4 Day 4].  
 
Go back to [https://wiki.openfoam.com/index.php?title=Day_4 Day 4].  
  
=[http:// www.holzmann-cfd.de/index.php/en/numerical-schemes Numerical scheme analyzing]=
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=[http://www.holzmann-cfd.de/index.php/en/numerical-schemes Numerical scheme analyzing]=
  
The numerical discretization is treated by choosing different numerical schemes in OpenFOAM. Each numerical scheme behaves different which is demonstrated in a simple convection flow ([http:// www.holzmann-cfd.de/index.php/en/numerical-schemes link]).  Here, you will see the influence of the mesh type, hexaeder and tetraeder, the orientation of the mesh and the mesh density on the accuracy of the solution and if the scheme produces physical or also non-physical values. The importance of the scheme that you use and a critical behavior of the Gauss linear scheme is shown [https:// www.youtube.com/watch?v=C0CcN7l37Fg in this video].
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The numerical discretization is treated by choosing different numerical schemes in OpenFOAM. Each numerical scheme behaves different which is demonstrated in a simple convection flow ([http://www.holzmann-cfd.de/index.php/en/numerical-schemes link]).  Here, you will see the influence of the mesh type, hexahedra and tetrahedra, the orientation of the mesh and the mesh density on the accuracy of the solution and if the scheme produces physical or also non-physical values. The importance of the scheme that you use and a critical behaviour of the Gauss linear scheme is shown [https://www.youtube.com/watch?v=C0CcN7l37Fg in this video].
  
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-upwind Upwind]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-upwind Upwind]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-linear Linear]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-linear Linear]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-linearupwind LinearUpwind]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-linearupwind LinearUpwind]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedlinear LimitedLinear]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedlinear LimitedLinear]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedlimitedlinear LimitedLimitedLinear]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedlimitedlinear LimitedLimitedLinear]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-vanleer VanLeer]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-vanleer VanLeer]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedvanleer LimitedVanLeer]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedvanleer LimitedVanLeer]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-cubic Cubic]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-cubic Cubic]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedcubic LimitedCubic]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedcubic LimitedCubic]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-sfcd SFCD]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-sfcd SFCD]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-quick QUICK]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-quick QUICK]
* [http:// www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-umist UMIST]
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* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-umist UMIST]

Revision as of 11:20, 6 October 2016

  • contributor: Tobias Holzmann
  • affiliation: Holzmann CFD
  • contact: click here for email address
  • OpenFOAM version: 2.1.x-4.x (explicitly stated for each tutorial)
  • published under: GPL v3 license

Go back to Day 4.

Numerical scheme analyzing

The numerical discretization is treated by choosing different numerical schemes in OpenFOAM. Each numerical scheme behaves different which is demonstrated in a simple convection flow (link). Here, you will see the influence of the mesh type, hexahedra and tetrahedra, the orientation of the mesh and the mesh density on the accuracy of the solution and if the scheme produces physical or also non-physical values. The importance of the scheme that you use and a critical behaviour of the Gauss linear scheme is shown in this video.