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High‐order strand grid methods for low‐speed and incompressible flows
Author(s) -
Thorne Jonathan,
Katz Aaron,
Tong Oisin,
Yanagita Yushi,
Tamaki Yoshiharu,
Delaney Keegan
Publication year - 2016
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4251
Subject(s) - finite volume method , laminar flow , turbulence , truncation error , mach number , compressibility , incompressible flow , pressure correction method , mathematics , unstructured grid , grid , preconditioner , flow (mathematics) , mechanics , convergence (economics) , physics , mathematical optimization , geometry , iterative method , economic growth , economics
Summary 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. Copyright © 2016 John Wiley & Sons, Ltd.