A general approach to vorticity confinement development for high-order flow solvers

Christopher C. Hennes, Kenneth S. Brentner

Research output: Contribution to journalConference articlepeer-review


The vorticity confinement technique is analyzed for a family of flow solvers based on upwind-biased differentiation schemes. Treating the necessary confinement level as a numerical error leads to a new technique for developing advanced confinement terms when the basic formulation is unable to preserve the vortex properties. It is show that for third- and fifth-order upwind-biased solvers, the error in vortex convection is substantially different than what is seen in a simple first-order scheme, explaining the original difficulty in developing a confinement term that is independent of grid density, vortex strength, and convection Mach number for these schemes. A functional confinement term is shown for the first-order scheme, and the difficulties in developing high-quality parameters for the higher-order schemes are discussed.

Original languageEnglish (US)
Pages (from-to)1180-1193
Number of pages14
JournalAnnual Forum Proceedings - AHS International
StatePublished - Aug 28 2008
Event64th Annual Forum - AHS International - Montreal, Canada
Duration: Apr 29 2008May 1 2008

All Science Journal Classification (ASJC) codes

  • Engineering(all)


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