On the Suboptimal Accuracy of Summation-by-parts Schemes with Non-conforming Block Interfaces
2016 (English)Report (Other academic)
We derive a bound on the formal accuracy of interpolation schemes for energy stable summation-by-parts discretizations on non-conforming multiblock grids. This result explains the suboptimal accuracy for such schemes reported in previous works. Numerical simulations confirm a corresponding reduced convergence rate in both maximum and L2 norms.
Place, publisher, year, edition, pages
Linköping University Electronic Press, 2016. , 12 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2015:16
Summation-by-parts, High order finite difference methods, Multi-block discretizations, Interpolation operators.
IdentifiersURN: urn:nbn:se:liu:diva-122816ISRN: LiTH-MAT-R--2015/16--SEOAI: oai:DiVA.org:liu-122816DiVA: diva2:873927