Difference between revisions of "Numerical schemes by Tobias Holzmann"

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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 ([https://holzmann-cfd.de/numerical-schemes/case-description/the-equation-and-conditions 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 behavior 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.de/numerical-schemes/case-description/the-equation-and-conditions 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 behavior of the Gauss linear scheme is shown [https://www.youtube.com/watch?v=C0CcN7l37Fg in this video].
  
* [https://holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-upwind Gauss Upwind]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-upwind Gauss Upwind]
* [https://holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-linear Gauss Linear]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-linear Gauss Linear]
* [https://holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-linearupwind Gauss LinearUpwind]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-linearupwind Gauss LinearUpwind]
* [https://holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-limitedlinear Gauss LimitedLinear]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-limitedlinear Gauss LimitedLinear]
* [https://holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-limitedlimitedlinear Gauss LimitedLimitedLinear]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-limitedlimitedlinear Gauss LimitedLimitedLinear]
* [https://holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-vanleer Gauss VanLeer]
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* [http://voluntary.holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-vanleer Gauss VanLeer]
* [https://holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-limitedcubic Gauss LimitedVanLeer]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-limitedvanleer Gauss LimitedVanLeer]
* [https://holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-cubic Gauss Cubic]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-cubic Gauss Cubic]
* [https://holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-limitedcubic Gauss LimitedCubic]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-limitedcubic Gauss LimitedCubic]
* [https://holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-sfcd Gauss SFCD]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-sfcd Gauss SFCD]
* [https://holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-quick Gauss QUICK]
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* [http://voluntary.holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-quick Gauss QUICK]
* [https://holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-umist Gauss UMIST]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-umist Gauss UMIST]
* [https://holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-quadraticfit Gauss QuadraticFit]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/standard-schemes/gauss-quadraticfit Gauss QuadraticFit]
* [https://holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-ospre Gauss OSPRE]
+
* [http://voluntary.holzmann-cfd.de/numerical-schemes/limiter-schemes/gauss-ospre Gauss OSPRE]

Revision as of 22:17, 3 October 2018

  • contributor: Tobias Holzmann
  • affiliation: Holzmann CFD
  • contact: click here for email address
  • OpenFOAM version: 5.x
  • 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 behavior of the Gauss linear scheme is shown in this video.