High-order strand grid methods for low-speed and incompressible flows

Jonathan Thorne, Aaron Katz, Oisin Tong, Yushi Yanagita, Yoshiharu Tamaki, Keegan Delaney

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


A novel high-order finite volume scheme using flux correction methods in conjunction with structured finite differences is extended to low Mach and incompressible flows on strand grids. Flux correction achieves a high order by explicitly canceling low-order truncation error terms across finite volume faces and is applied in unstructured layers of the strand grid. The layers are then coupled together using a source term containing summation-by-parts finite differences in the strand direction. A preconditioner is employed to extend the method to low speed and incompressible flows. We further extend the method to turbulent flows with the Spalart–Allmaras model. Laminar flow test cases indicate improvements in accuracy and convergence using the high-order preconditioned method, while turbulent body-of-revolution flow results show improvements in only some cases, perhaps because of dominant errors arising from the turbulence model itself.

Original languageEnglish
Pages (from-to)979-996
Number of pages18
JournalInternational Journal for Numerical Methods in Fluids
Issue number12
Publication statusPublished - 2016 Dec 30
Externally publishedYes


  • high-order methods
  • incompressible flows
  • preconditioning
  • strand grids

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


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