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

18 Citations (Scopus)

Abstract

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
Title of host publicationCollection of Technical Papers - AIAA Applied Aerodynamics Conference
Pages1756-1773
Number of pages18
Volume3
StatePublished - Nov 6 2007
Event25th AIAA Applied Aerodynamics Conference, 2007 - Miami, FL, United States
Duration: Jun 25 2007Jun 28 2007

Other

Other25th AIAA Applied Aerodynamics Conference, 2007
CountryUnited States
CityMiami, FL
Period6/25/076/28/07

Fingerprint

Compressible flow
Boundary conditions
Navier Stokes equations
Fluxes

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Shen, Y., Wang, B., & Zha, G. (2007). Implicit WENO scheme and high order viscous formulas for compressible flows. In Collection of Technical Papers - AIAA Applied Aerodynamics Conference (Vol. 3, pp. 1756-1773)

Implicit WENO scheme and high order viscous formulas for compressible flows. / Shen, Yiqing; Wang, Baoyuan; Zha, GeCheng.

Collection of Technical Papers - AIAA Applied Aerodynamics Conference. Vol. 3 2007. p. 1756-1773.

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

Shen, Y, Wang, B & Zha, G 2007, Implicit WENO scheme and high order viscous formulas for compressible flows. in Collection of Technical Papers - AIAA Applied Aerodynamics Conference. vol. 3, pp. 1756-1773, 25th AIAA Applied Aerodynamics Conference, 2007, Miami, FL, United States, 6/25/07.
Shen Y, Wang B, Zha G. Implicit WENO scheme and high order viscous formulas for compressible flows. In Collection of Technical Papers - AIAA Applied Aerodynamics Conference. Vol. 3. 2007. p. 1756-1773
Shen, Yiqing ; Wang, Baoyuan ; Zha, GeCheng. / Implicit WENO scheme and high order viscous formulas for compressible flows. Collection of Technical Papers - AIAA Applied Aerodynamics Conference. Vol. 3 2007. pp. 1756-1773
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