Compact fourth-order finite-volume method for numerical solutions of Navier–Stokes equations on staggered grids

Arpiruk Hokpunna, Michael Manhart

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A fourth-order finite-volume method for the three-dimensional Navier–Stokes equations is presented. It uses a novel divergence-free interpolation ensuring mass balance over the momentum cell. The fourth-order convergence rate is shown by the amplitude growth of the most unstable eigenmode in the plane channel flow. Application of the method to a turbulent channel flow demonstrates that the scheme is highly accurate and efficient.

Original languageEnglish
Title of host publicationDirect and Large-Eddy Simulation VII - Proceedings of the 7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008
EditorsBernard Geurts, Jochen Frohlich, Vincenzo Armenio
PublisherSpringer Netherland
Pages129-134
Number of pages6
ISBN (Print)9789048136513
DOIs
StatePublished - 2010
Event7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008 - Trieste, Italy
Duration: 8 Sep 200810 Sep 2008

Publication series

NameERCOFTAC Series
Volume13
ISSN (Print)1382-4309
ISSN (Electronic)2215-1826

Conference

Conference7th International ERCOFTAC Workshop on Direct and Large-Eddy Simulation, 2008
Country/TerritoryItaly
CityTrieste
Period8/09/0810/09/08

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