Generalized finite compact difference scheme for shock/complex flowfield interaction

Yiqing Shen, Gecheng Zha

Research output: Contribution to journalArticlepeer-review

63 Scopus citations


A class of generalized high order finite compact difference schemes is proposed for shock/vortex, shock/boundary layer interaction problems. The finite compact difference scheme takes the region between two shocks as a compact stencil. The high order WENO fluxes on shock stencils are used as the internal boundary fluxes for the compact scheme. A lemma based on the property of smoothness estimators on a 5-points stencil is given to detect the shock position. There is no free parameter introduced to switch the compact scheme and the WENO scheme. Some numerical experiments are given and they demonstrate that the present scheme has low dissipation due to the compact central differencing scheme used in the smooth regions.

Original languageEnglish (US)
Pages (from-to)4419-4436
Number of pages18
JournalJournal of Computational Physics
Issue number12
StatePublished - Jun 1 2011


  • Compact scheme
  • Shock/complex flowfield interaction
  • WENO scheme

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy (miscellaneous)


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