liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Fully Discrete Energy Stable High Order Finite Difference Methods for Hyperbolic Problems in Deforming Domains: An initial investigation
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2015 (English)In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 / [ed] Mejdi Azaïez, Henda El Fekih, Jan S. Hesthaven, Springer, 2015, 385-395 p.Chapter in book (Refereed)
Abstract [en]

A time-dependent coordinate transformation of a constant coefficient hyperbolic system of equations is considered. We use the energy method to derive well-posed boundary conditions for the continuous problem. Summation-by-Parts (SBP) operators together with a weak imposition of the boundary and initial conditions using Simultaneously Approximation Terms (SATs) guarantee energy-stability of the fully discrete scheme. We construct a time-dependent SAT formulation that automatically imposes the boundary conditions, and show that the numerical Geometric Conservation Law (GCL) holds. Numerical calculations corroborate the stability and accuracy of the approximations. As an application we study the sound propagation in a deforming domain using the linearized Euler equations.

Place, publisher, year, edition, pages
Springer, 2015. 385-395 p.
Series
Lecture Notes in Computational Science and Engineering, 106
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-123116DOI: 10.1007/978-3-319-19800-2_35ISI: 000368440400035ISBN: 978-3-319-19799-9 (print)ISBN: 978-3-319-19800-2 (print)OAI: oai:DiVA.org:liu-123116DiVA: diva2:876610
Available from: 2015-12-04 Created: 2015-12-04 Last updated: 2016-02-15Bibliographically approved

Open Access in DiVA

Fully Discrete Energy Stable High Order Finite Difference Methods for Hyperbolic Problems in Deforming Domains(347 kB)95 downloads
File information
File name FULLTEXT01.pdfFile size 347 kBChecksum SHA-512
94f7271d739a1fffde5e25b661f736f33c163170447ac6fd05ec2840c1f97989a3e1a628bdba161ab951489d0a7bbea8a8e497e326d39e4d86d4b50a38f3c580
Type fulltextMimetype application/pdf

Other links

Publisher's full textfind book at a swedish library/hitta boken i ett svenskt bibliotekfind book in another country/hitta boken i ett annat land

Authority records BETA

Nikkar, SamiraNordström, Jan

Search in DiVA

By author/editor
Nikkar, SamiraNordström, Jan
By organisation
Computational MathematicsFaculty of Science & Engineering
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 95 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 221 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf