Low diffusion E-CUSP scheme with implicit high order WENO scheme for preconditioned Navier-Stokes equations

Yiqing Shen, Gecheng Zha

Research output: Contribution to journalArticle

10 Scopus citations


A low diffusion E-CUSP (LDE) scheme for preconditioned Navier-Stokes equations is developed. The LDE scheme with high-order WENO reconstruction and high order difference scheme for viscous terms is used to simulate several flows at various speed from low speed natural convection to supersonic flows. The unfactored implicit Gauss-Seidel relaxation scheme, in which the preconditioned Roe's matrices are used, is used for time integration. Numerical results are presented to show efficiency, accuracy and robustness of the new preconditioning scheme.

Original languageEnglish (US)
Pages (from-to)13-23
Number of pages11
JournalComputers and Fluids
StatePublished - Feb 15 2012



  • All flow speeds
  • Compressible flows
  • Incompressible flows
  • Preconditioing
  • WENO scheme

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

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