Implicit WENO scheme and high order viscous formulas for compressible flows

Yiqing Shen, Baoyuan Wang, Gecheng Zha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

23 Scopus citations


The purpose of this paper is to develop a robust and efficient high order fully conservative finite difference scheme for compressible Navier-Stokes equations. The 5th order WENO scheme is used for the inviscid fluxes. A conservative fourth order accuracy finite central differencing scheme is developed for the viscous terms. An improved ε value of 10-2 is suggested for the WENO smooth factors calculation, which removes the weight oscillation and significantly improves the convergence rate and level. The wall surface is taken as half-point mesh so that the no slip wall boundary condition can be accurately imposed. A 3th order accurate finite difference scheme is given to treat wall boundary condition. The implicit time marching method with unfactored Gauss-Seidel line relaxation is used with the high order scheme to achieve steady state solutions with high convergence rate.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 25th AIAA Applied Aerodynamics Conference, 2007
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Number of pages18
ISBN (Print)1563478986, 9781563478987
StatePublished - 2007
Event25th AIAA Applied Aerodynamics Conference, 2007 - Miami, FL, United States
Duration: Jun 25 2007Jun 28 2007

Publication series

NameCollection of Technical Papers - AIAA Applied Aerodynamics Conference
ISSN (Print)1048-5953


Other25th AIAA Applied Aerodynamics Conference, 2007
Country/TerritoryUnited States
CityMiami, FL

ASJC Scopus subject areas

  • Engineering(all)


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