Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Conservative logarithmic reconstructions and finite volume methods

Artebrant, Robert LU and Schroll, Achim LU (2005) In SIAM Journal on Scientific Computing 27(1). p.294-314
Abstract
A class of high-order reconstruction methods based on logarithmic functions is presented. Inspired by Marquina's hyperbolic method, we introduce a double logarithmic ansatz of fifth order of accuracy. Low variation is guaranteed by the ansatz and (slope-) limiting is avoided. The method can reconstruct smooth extrema without order reduction. Fifth order of convergence is verified in a numerical experiment governed by the nonlinear Euler system. Numerical experiments, including the Osher-Shu shock/acoustic interaction, are presented.
Please use this url to cite or link to this publication:
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
27
issue
1
pages
294 - 314
publisher
Society for Industrial and Applied Mathematics
external identifiers
  • wos:000232354900014
  • scopus:33144480893
ISSN
1064-8275
DOI
10.1137/03060240X
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
53a11d0b-686b-4031-bbdd-6454d060b30d (old id 220526)
date added to LUP
2016-04-01 16:22:18
date last changed
2022-04-22 21:35:40
@article{53a11d0b-686b-4031-bbdd-6454d060b30d,
  abstract     = {{A class of high-order reconstruction methods based on logarithmic functions is presented. Inspired by Marquina's hyperbolic method, we introduce a double logarithmic ansatz of fifth order of accuracy. Low variation is guaranteed by the ansatz and (slope-) limiting is avoided. The method can reconstruct smooth extrema without order reduction. Fifth order of convergence is verified in a numerical experiment governed by the nonlinear Euler system. Numerical experiments, including the Osher-Shu shock/acoustic interaction, are presented.}},
  author       = {{Artebrant, Robert and Schroll, Achim}},
  issn         = {{1064-8275}},
  keywords     = {{high-order reconstruction; conservation law; finite volume method}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{294--314}},
  publisher    = {{Society for Industrial and Applied Mathematics}},
  series       = {{SIAM Journal on Scientific Computing}},
  title        = {{Conservative logarithmic reconstructions and finite volume methods}},
  url          = {{http://dx.doi.org/10.1137/03060240X}},
  doi          = {{10.1137/03060240X}},
  volume       = {{27}},
  year         = {{2005}},
}