Adaptive mesh refinement for weighted essentially non-oscillatory schemes

Daeki Yoon, Hongjoong Kim, Woonjae Hwang

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this paper, we describe the application procedure of the adaptive mesh refinement (AMR) for the weighted essentially non-oscillatory schemes (WENO), and observe the effects of the derived algorithm when problems have piecewise smooth solutions containing discontinuities. We find numerically that the dissipation of the WENO scheme can be lessened by the implementation of AMR while the accuracy is maintained. We deduce from the experiments that the AMR-implemented WENO scheme captures shocks more efficiently than the WENO method using uniform grids.

Original languageEnglish
Pages (from-to)781-795
Number of pages15
JournalBulletin of the Korean Mathematical Society
Volume45
Issue number4
DOIs
Publication statusPublished - 2008 Nov

Keywords

  • Adaptive mesh refinement
  • Conservation laws
  • WENO scheme

ASJC Scopus subject areas

  • Mathematics(all)

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