scholarly journals a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations

2017 ◽  
Vol 44 (2) ◽  
pp. 571-607
Author(s):  
Stéphane Clain ◽  
Raphaël Loubère ◽  
Gaspar J. Machado
Keyword(s):  
Steady State ◽  
Finite Volume ◽  
Hyperbolic Equations ◽  
Sixth Order ◽  
Finite Volume Scheme ◽  
A Posteriori ◽  
One Dimensional ◽  
Volume Scheme

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.

scholarly journals An implicit high order finite volume scheme with a posteriori limiting for advection networks

PAMM ◽  
2021 ◽  
Vol 20 (1) ◽  
Author(s):  
Matthias Eimer ◽  
Raul Borsche ◽  
Norbert Siedow
Keyword(s):  
Finite Volume ◽  
High Order ◽  
Finite Volume Scheme ◽  
A Posteriori ◽  
Volume Scheme

scholarly journals Conservative Finite Volume Schemes for Multidimensional Fragmentation Problems

Mathematics ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 635
Author(s):  
Jitraj Saha ◽  
Andreas Bück
Keyword(s):  
Finite Volume ◽  
Three Dimensional ◽  
Test Problems ◽  
Finite Volume Scheme ◽  
Finite Volume Schemes ◽  
One Dimensional ◽  
Volume Scheme ◽  
Multidimensional Problems ◽  
Conservative Form ◽  
Fragmentation Equation

In this article, a new numerical scheme for the solution of the multidimensional fragmentation problem is presented. It is the first that uses the conservative form of the multidimensional problem. The idea to apply the finite volume scheme for solving one-dimensional linear fragmentation problems is extended over a generalized multidimensional setup. The derivation is given in detail for two-dimensional and three-dimensional problems; an outline for the extension to higher dimensions is also presented. Additionally, the existing one-dimensional finite volume scheme for solving conservative one-dimensional multi-fragmentation equation is extended to solve multidimensional problems. The accuracy and efficiency of both proposed schemes is analyzed for several test problems.

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