A Novel Multi-Dimensional Limiter for High-Order Finite Volume Methods on Unstructured Grids

Yilang Liu, Weiwei Zhang, Chunna Li

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

This paper proposes a novel distance derivative weighted ENO (DDWENO) limiter based on fixed reconstruction stencil and applies it to the second- and highorder finite volume method on unstructured grids. We choose the standard deviation coefficients of the flow variables as the smooth indicators by using the k-exact reconstruction method, and obtain the limited derivatives of the flow variables by weighting all derivatives of each cell according to smoothness. Furthermore, an additional weighting coefficient related to distance is introduced to emphasize the contribution of the central cell in smooth regions. The developed limiter, combining the advantages of the slope limiters and WENO-type limiters, can achieve the similar effect of WENO schemes in the fixed stencil with high computational efficiency. The numerical cases demonstrate that the DDWENO limiter can preserve the numerical accuracy in smooth regions, and capture the shock waves clearly and steeply as well.

Original languageEnglish
Pages (from-to)1385-1412
Number of pages28
JournalCommunications in Computational Physics
Volume22
Issue number5
DOIs
StatePublished - 1 Nov 2017

Keywords

  • DDWENO limiter
  • High-order finite volume method
  • shock waves
  • unstructured grids

Fingerprint

Dive into the research topics of 'A Novel Multi-Dimensional Limiter for High-Order Finite Volume Methods on Unstructured Grids'. Together they form a unique fingerprint.

Cite this