Difference between revisions of "Numerical schemes by Tobias Holzmann"

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* '''affiliation''': Holzmann CFD
 
* '''affiliation''': Holzmann CFD
 
* '''contact''': <mail address='Tobias.Holzmann@Holzmann-cfd.de' description='author'>click here for email address</mail>
 
* '''contact''': <mail address='Tobias.Holzmann@Holzmann-cfd.de' description='author'>click here for email address</mail>
* '''OpenFOAM version''': 5.x
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* '''OpenFOAM version''': v7
 
* '''published under''': GPL v3 license  
 
* '''published under''': GPL v3 license  
  
 
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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=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, 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].
+
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 ([https://holzmann-cfd.com/community/numerical-schemes link]). Here, you will see the influence of the mesh type, hexahedra , tetrahedra, and polyhedra, 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]. The numerical analyzer, created by Tobias Holzmann, gives you an feedback of 16 numerical schemes at four different mesh types and density. Furthermore, one can compare the numerical schemes to older OpenFOAM versions. The following numerical schemes can be investigated:
  
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-upwind Upwind]
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* Gauss Upwind
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-linear Linear]
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* Gauss Linear
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-linearupwind LinearUpwind]
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* Gauss LinearUpwind
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedlinear LimitedLinear]
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* Gauss LimitedLinear
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedlimitedlinear LimitedLimitedLinear]
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* Gauss LimitedLimitedLinear
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-vanleer VanLeer]
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* Gauss VanLeer
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedvanleer LimitedVanLeer]
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* Gauss LimitedVanLeer
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-cubic Cubic]
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* Gauss Cubic
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-limitedcubic LimitedCubic]
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* Gauss LimitedCubic
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-sfcd SFCD]
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* Gauss SFCD
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-quick QUICK]
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* Gauss QUICK
* [http://www.holzmann-cfd.de/index.php/en/numerical-schemes/gauss-umist UMIST]
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* Gauss UMIST
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* Gauss OSPRE
 +
* Gauss vanAlbada
 +
* Gauss Blended
 +
* Gauss LUST
 +
* Gauss Gamma
 +
* Gauss Gamma01

Latest revision as of 05:44, 3 August 2020

  • contributor: Tobias Holzmann
  • affiliation: Holzmann CFD
  • contact: click here for email address
  • OpenFOAM version: v7
  • 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 , tetrahedra, and polyhedra, 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 in this video. The numerical analyzer, created by Tobias Holzmann, gives you an feedback of 16 numerical schemes at four different mesh types and density. Furthermore, one can compare the numerical schemes to older OpenFOAM versions. The following numerical schemes can be investigated:

  • Gauss Upwind
  • Gauss Linear
  • Gauss LinearUpwind
  • Gauss LimitedLinear
  • Gauss LimitedLimitedLinear
  • Gauss VanLeer
  • Gauss LimitedVanLeer
  • Gauss Cubic
  • Gauss LimitedCubic
  • Gauss SFCD
  • Gauss QUICK
  • Gauss UMIST
  • Gauss OSPRE
  • Gauss vanAlbada
  • Gauss Blended
  • Gauss LUST
  • Gauss Gamma
  • Gauss Gamma01