Spurious solutions for the advection-diffusion equation using wide stencils for approximating the second derivative.
2014 (English)Report (Other academic)
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.
LiTH-MAT-R, ISSN 0348-2960 ; 2014: 07
Summation-by-parts, spurious solutions, oscillating solutions
Computational Mathematics Mathematics
IdentifiersURN: urn:nbn:se:liu:diva-107324ISRN: LiTH-MAT-R--2014/07--SEOAI: oai:DiVA.org:liu-107324DiVA: diva2:723329