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Limiter-free third order logarithmic reconstruction

Artebrant, Robert LU and Schroll, Achim LU (2006) In SIAM Journal on Scientific Computing 28(1). p.359-381
Abstract
A third order conservative reconstruction, in the context of finite volume schemes for hyperbolic conservation laws, is constructed based on logarithmic functions. This logarithmic method reconstructs without the use of a limiter, any preprocessing of input data, special treatments for local extrema, or shock solutions. Also the method is local in the sense that data from only the nearest neighbors are required. We test the new reconstruction method in several numerical experiments, including nonlinear systems in one and two space dimensions.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
high order reconstruction, conservation law, finite volume method
in
SIAM Journal on Scientific Computing
volume
28
issue
1
pages
359 - 381
publisher
Society for Industrial and Applied Mathematics
external identifiers
  • wos:000236806000017
  • scopus:35348820283
ISSN
1064-8275
DOI
10.1137/040620187
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004), Centre for Mathematical Sciences (011015000)
id
85116a0d-15e7-49ce-a8f4-9abe3a27c7ff (old id 411334)
date added to LUP
2016-04-01 15:54:01
date last changed
2021-04-06 02:13:48
@article{85116a0d-15e7-49ce-a8f4-9abe3a27c7ff,
  abstract     = {A third order conservative reconstruction, in the context of finite volume schemes for hyperbolic conservation laws, is constructed based on logarithmic functions. This logarithmic method reconstructs without the use of a limiter, any preprocessing of input data, special treatments for local extrema, or shock solutions. Also the method is local in the sense that data from only the nearest neighbors are required. We test the new reconstruction method in several numerical experiments, including nonlinear systems in one and two space dimensions.},
  author       = {Artebrant, Robert and Schroll, Achim},
  issn         = {1064-8275},
  language     = {eng},
  number       = {1},
  pages        = {359--381},
  publisher    = {Society for Industrial and Applied Mathematics},
  series       = {SIAM Journal on Scientific Computing},
  title        = {Limiter-free third order logarithmic reconstruction},
  url          = {http://dx.doi.org/10.1137/040620187},
  doi          = {10.1137/040620187},
  volume       = {28},
  year         = {2006},
}