Abstract
In this chapter, an introduction to hybrid Weighted Essentially non-oscillatory (WENO) method is given. The hybrid techniques including both central and compact finite difference schemes are introduced. The paper review about the driven mechanism of the high order finite scheme required for compressible flow with shock is presented. The detailed constructing processes of the compact and WENO schemes are given and the hybrid detector is introduced. Further, in particular, a series of examples in the field of the compressible flow are designed to illustrate the different methods.
Keywords: Navier-Stokes equation, High order finite difference scheme, Hybrid Compact-WENO, Shock wave and boundary layer interaction turbulence.
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