Numerical simulation of Camassa-Holm peakons by adaptive upwinding
(2006) In Applied Numerical Mathematics 56(5). p.695-711- Abstract
- The Camassa-Holm equation is a conservation law with a non-local flux that models shallow water waves and features soliton solutions with a corner at their crests, so-called peakons. In the present paper a finite-volume method is developed to simulate the dynamics of peakons. This conservative scheme is adaptive, high resolution and stable without any explicit introduction of artificial viscosity. A numerical simulation indicates that a certain plateau shaped travelling wave solution breaks up in time. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/414940
- author
- Artebrant, Robert LU and Schroll, Achim LU
- organization
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Camassa-Holm equation, peakon dynamics, adaptive finite-volume method
- in
- Applied Numerical Mathematics
- volume
- 56
- issue
- 5
- pages
- 695 - 711
- publisher
- Elsevier
- external identifiers
-
- wos:000236426000007
- scopus:33644862175
- ISSN
- 0168-9274
- DOI
- 10.1016/j.apnum.2005.06.002
- 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
- dd911d39-52f1-4260-b8fd-91f6b2f66274 (old id 414940)
- date added to LUP
- 2016-04-01 16:58:47
- date last changed
- 2022-01-28 23:28:34
@article{dd911d39-52f1-4260-b8fd-91f6b2f66274, abstract = {{The Camassa-Holm equation is a conservation law with a non-local flux that models shallow water waves and features soliton solutions with a corner at their crests, so-called peakons. In the present paper a finite-volume method is developed to simulate the dynamics of peakons. This conservative scheme is adaptive, high resolution and stable without any explicit introduction of artificial viscosity. A numerical simulation indicates that a certain plateau shaped travelling wave solution breaks up in time. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.}}, author = {{Artebrant, Robert and Schroll, Achim}}, issn = {{0168-9274}}, keywords = {{Camassa-Holm equation; peakon dynamics; adaptive finite-volume method}}, language = {{eng}}, number = {{5}}, pages = {{695--711}}, publisher = {{Elsevier}}, series = {{Applied Numerical Mathematics}}, title = {{Numerical simulation of Camassa-Holm peakons by adaptive upwinding}}, url = {{http://dx.doi.org/10.1016/j.apnum.2005.06.002}}, doi = {{10.1016/j.apnum.2005.06.002}}, volume = {{56}}, year = {{2006}}, }