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Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2014 (English)Report (Other academic)
Abstract [en]

A one dimensional steady-state advection-diffusion problem using summation-by-parts operators has been investigated. For approximating the second derivative, a wide stencil has been used, which has spurious, oscillating, modes for all mesh-sizes. We show that the size of the spurious modes are equal to the size of the truncation error for a stable approximation. The theoretical results are veried with numerical experiments.

Place, publisher, year, edition, pages
Linköping University Electronic Press, 2014. , 21 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2014: 07
Keyword [en]
Summation-by-parts, spurious solutions, oscillating solutions
National Category
Computational Mathematics Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-107324ISRN: LiTH-MAT-R--2014/07--SEOAI: oai:DiVA.org:liu-107324DiVA: diva2:723329
Available from: 2014-06-10 Created: 2014-06-10 Last updated: 2014-06-10

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Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative(1187 kB)245 downloads
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Frenander, HannesNordström, Jan

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CiteExportLink to record
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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
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Output format
  • html
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