Gauss LinearUpwind Scheme (2. Order)

Using the Gauss LinearUpwind scheme increases the accuracy while being more stable -- compared to the Upwind and Linear scheme. This scheme is based on the upwind scheme with weighting factors and an additional gradient-based explicit correction to increase the accuracy. If one compares the linear scheme with the LinearUpwind scheme, one will see a stabilization in calculation of the values for the scalar and is more accurate compared to the 1st order Upwind scheme. It can calculate nonphysical results and has a character in between the Upwind and linear scheme.

 

Quantity solutions between the meshes

  • compare_linearUpwind_20x20
  • compare_linearUpwind_40x40
  • compare_linearUpwind_80x80

 

Quality and quantity solution of the structured mesh (0°)

  • linearUpwind_20x20
  • linearUpwind_40x40
  • linearUpwind_80x80
  • linearUpwind_research_2

 

Quality and quantity solution of the structured mesh (45°)

  • linearUpwind_20x20
  • linearUpwind_40x40
  • linearUpwind_80x80
  • linearUpwind_research_1

 

Quality and quantity solutions of the unstructured mesh

  • linearUpwind_20x20
  • linearUpwind_40x40
  • linearUpwind_80x80
  • linearUpwind_research_3

 

Quality and quantity solutions of the polygon mesh

  • linearUpwind_20x20
  • linearUpwind_40x40
  • linearUpwind_80x80
  • linearUpwind_research_4
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