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