High Order Schemes for Shock Capturing
Pp. 112-176 (65)
Chaoqun Liu, Qin Li, Yonghua Yan, Yong Yang, Guang Yang and Xiangrui Dong
In this chapter, a series of high order shock capturing schemes including
WENO scheme, weighted compact scheme, modified upwinding compact scheme are
introduced, which can get sharp shock capturing but keep high order accuracy in the
smooth area. These schemes are particularly useful for LES of shock-turbulence
interaction where both high resolution and sharp shock capturing are important. All
these schemes are somehow successful in high order LES for SBLI. An efficient shock
detector is introduced as a part of weighted compact and modified upwinding schemes.
In addition, the accuracy, truncation errors, dissipation and dispersion of these schemes
Compact scheme, Dispersion, Dissipation, High order scheme, Shock
capturing, Shock detector, Truncation error, Upwinding scheme, WENO.
Center for Numerical Simulation and Modeling, Department of Mathematics, University of Texas at Arlington, Arlington, Texas 76019, TX, USA.