Advanced

Compact third-order multidimensional upwind discretization for steady and unsteady flow simulations

Caraeni, D and Fuchs, Laszlo LU (2005) In Computers & Fluids 34(4-5). p.419-441
Abstract
We propose a new third-order multidimensional upwind algorithm for the solution of the flow equations on tetrahedral cells unstructured grids. This algorithm has a compact stencil (cell-based computations) and uses a finite element idea when computing the residual over the cell to achieve its third-order (spatial) accuracy. The construction of the new scheme is presented. The asymptotic accuracy for steady or unsteady, inviscid or viscous flow situations is proved using numerical experiments. The new high-order discretization proves to have excellent parallel scalability. Our studies show the advantages of the new compact third-order scheme when compared with the classical second-order multidimensional upwind schemes.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Computers & Fluids
volume
34
issue
4-5
pages
419 - 441
publisher
Elsevier
external identifiers
  • wos:000226950000003
  • scopus:11144279860
ISSN
0045-7930
DOI
10.1016/j.compfluid.2004.03.002
language
English
LU publication?
yes
id
0322aeac-51ed-4a0b-93ad-8dcd317b5583 (old id 254570)
date added to LUP
2007-08-07 11:32:17
date last changed
2017-01-01 06:48:24
@article{0322aeac-51ed-4a0b-93ad-8dcd317b5583,
  abstract     = {We propose a new third-order multidimensional upwind algorithm for the solution of the flow equations on tetrahedral cells unstructured grids. This algorithm has a compact stencil (cell-based computations) and uses a finite element idea when computing the residual over the cell to achieve its third-order (spatial) accuracy. The construction of the new scheme is presented. The asymptotic accuracy for steady or unsteady, inviscid or viscous flow situations is proved using numerical experiments. The new high-order discretization proves to have excellent parallel scalability. Our studies show the advantages of the new compact third-order scheme when compared with the classical second-order multidimensional upwind schemes.},
  author       = {Caraeni, D and Fuchs, Laszlo},
  issn         = {0045-7930},
  language     = {eng},
  number       = {4-5},
  pages        = {419--441},
  publisher    = {Elsevier},
  series       = {Computers & Fluids},
  title        = {Compact third-order multidimensional upwind discretization for steady and unsteady flow simulations},
  url          = {http://dx.doi.org/10.1016/j.compfluid.2004.03.002},
  volume       = {34},
  year         = {2005},
}