Increasing order of accuracy of weighted compact non-linear scheme

Taku Nonomura, Nobuyuki Iizuka, Kozo Fujii

Research output: Chapter in Book/Report/Conference proceedingConference contribution

33 Citations (Scopus)


The coefficients of higher order weighted compact nonlinear scheme (WCNS) and the resolutions of the family of higher order WCNS are investigated. The coefficients of seventh and ninth order WCNS are calculated by using MATHEMATICA. Seventh and ninth WCNS can resolve the discontinuity without numerical oscillations as well as fifth order WCNS. Seventh and Ninth order WCNS have the higher resolution on the one-dimensional shock-entropy interaction problem with few grid points than fifth order WCNS. In addition, the resolutions of the explicit and tri-diagonal and penta-diagonal compact "cell-center to cell-node" difference schemes are investigated. The resolutions of these schemes are almost same. Thus the explicit scheme which is cheapest one is good for WCNS. In addition, seventh WCNS can solve the two-dimensional problem with the improvement of resolution, while ninth order can not solve it.

Original languageEnglish
Title of host publicationCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Number of pages11
ISBN (Print)1563478900, 9781563478901
Publication statusPublished - 2007
Externally publishedYes
Event45th AIAA Aerospace Sciences Meeting 2007 - Reno, NV, United States
Duration: 2007 Jan 82007 Jan 11

Publication series

NameCollection of Technical Papers - 45th AIAA Aerospace Sciences Meeting


Other45th AIAA Aerospace Sciences Meeting 2007
Country/TerritoryUnited States
CityReno, NV

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering


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