A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions

2003 ◽  
Vol 337 (2) ◽  
pp. 125-128 ◽  
Author(s):  
Robert Eymard ◽  
Raphaèle Herbin
Keyword(s):  
Finite Volume ◽  
Stokes Equations ◽  
Finite Volume Scheme ◽  
Volume Scheme ◽  
A Cell ◽  
Two Space Dimensions ◽  
General Meshes

scholarly journals On the use of a cell-centered finite-volume scheme on prismatic meshes in boundary layers

2021 ◽  
pp. 1-44
Author(s):  
Pavel Alexeevisch Bakhvalov
Keyword(s):  
Reynolds Number ◽  
Finite Volume ◽  
High Reynolds Number ◽  
Finite Volume Scheme ◽  
Wall Surface ◽  
One Dimensional ◽  
Volume Scheme ◽  
Dimensional Reconstruction ◽  
A Cell ◽  
High Reynolds

We consider the cell-centered finite-volume scheme with the quasi-one-dimensional reconstruction and generalize it to anisotropic prismatic meshes suitable for high-Reynolds-number problems. We offer a new algorithm of flux computation based on the reconstruction along the wall surface, whereas in the original schemes it was along the tangent to the wall surface. We also study how does the curvature of mesh elements influence the accuracy if taken into account.

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