Conservative logarithmic reconstructions and finite volume methods
(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:
https://lup.lub.lu.se/record/220526
- author
- Artebrant, Robert LU and Schroll, Achim LU
- organization
- publishing date
- 2005
- 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}}, }