Implicit WENO Scheme and High Order Viscous Formulas for Compressible Flows

@inproceedings{ShenImplicitWS,
  title={Implicit WENO Scheme and High Order Viscous Formulas for Compressible Flows},
  author={Yiqing Shen and Baoyuan Wang and Gecheng Zha}
}
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 is suggested for the WENO smooth factors calculation, which removes the weight oscillation and significantly improves the convergence rate and… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 16 references

Efficient implementation of weighted ENO schemes

G.S.Jiang, C.W.Shu
J.Comput.Phys., vol. 126, pp. 202–228, 1996. • 1996
View 10 Excerpts
Highly Influenced

B.Y.Wang,and G.C.Zha, “Comparison Study of Implicit Gauss-Seidel Line Iteration Method for Transonic Flows.

Y. Q. Shen
AIAA-paper • 2007
View 1 Excerpt

Adaptive mesh refinement techniques for high-order shock capturing schemes for multi-dimensional hydrodynamic simulations

A.Beaza, P.Mulet
International Journal for Numerical Methods in Fluids, vol. 52, pp. 455–471, 2006. • 2006
View 1 Excerpt

Implicit WENO shock capturing scheme for unsteady flows. Application to one-dimensional Euler equations

A.Cadiou, C.Tenaud
International Journal for Numerical Methods in Fluids, vol. 45, pp. 197–229, 2004. • 2004
View 1 Excerpt

Low dissipative high-order numerical simulations of supersonic reactive flows

B.Sjogreen, H.C.Yee
International Journal for Numerical Methods in Fluids, vol. 43, pp. 1221–1238, 2003. • 2003
View 2 Excerpts

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