For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

We review numerical methods for direct numerical simulation (DNS) and large-eddy
simulation (LES) of turbulent compressible flow in the presence of shock waves. Ideal …

CFD 模拟方法的发展成就与展望 Page 1 第41 卷第5 期 力学进展 Vol. 41 No. 5 2011 年9 月25
日 ADVANCES IN MECHANICS Sep. 25, 2011 CFD 模拟方法的发展成就与展望 ∗ 阎超† 于剑 …

Finite difference WENO schemes have established themselves as very worthy performers for
entire classes of applications that involve hyperbolic conservation laws. In this paper we …

High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …

Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …

In this paper a new simple fifth order weighted essentially non-oscillatory (WENO) scheme is
presented in the finite difference framework for solving the hyperbolic conservation laws …

Nonlinear entropy stability is used to derive provably stable high-order finite difference
operators including boundary closure stencils, for the compressible Navier–Stokes …

Flows in which shock waves and turbulence are present and interact dynamically occur in a
wide range of applications, including inertial confinement fusion, supernovae explosion, and …

In this work, an adaptive central-upwind 6th-order weighted essentially non-oscillatory
(WENO) scheme is developed. The scheme adapts between central and upwind schemes …