Higher-order compact schemes for numerical simulation of incompressible flows, part I: Theoretical development

Ayodeji O. Demuren, Robert V. Wilson, Mark Carpenter

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

A higher-order-accurate numerical procedure has been developed for solving incompressible Navier-Stokes equations for fluid flow problems. It is based on low-storage Runge-Kutta schemes for temporal discretization and fourth- and sixth-order compact finite-difference schemes for spatial discretization. New insights are presented on the elimination of the odd-even decoupling problem in the solution of the pressure Poisson equation. For consistent global accuracy, it is necessary to employ the same order of accuracy in the discretization of the Poisson equation. Accuracy and robustness issues are addressed by application to several pertinent benchmark problems in Part II.

Original languageEnglish
Pages (from-to)207-230
Number of pages24
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume39
Issue number3
DOIs
StatePublished - Mar 2001
Externally publishedYes

Funding

Received 31 March 2000; accepted 11 October 2000. The authors were partially supported by the National Aeronautics and Space Administration under NASA Contract NAS1-14098while the authors were in residence at the Institute for Computer Applications in Science and Engineering (ICASE), NASA Langley Research Center, Hampton, VA 2681300-10. Additional support was provided by the NASA Graduate Student Research Program. Address correspondence to Prof. Ayodeji O. Demuren, Department of Mechanical Engineering, Old Dominion University, Norfolk, VA 23,5USA2. E-9mail: [email protected]

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