Optimization of nonlinear error for weighted essentially non-oscillatory methods in direct numerical simulations of compressible turbulence

摘要: Weighted essentially non-oscillatory (WENO) methods have been developed to simultaneously provide robust shock-capturing in compressible fluid flow and avoid excessive damping of fine-scale features such as turbulence. Under certain conditions turbulence, however, numerical dissipation remains unacceptably high even after optimization the linear component that dominates smooth regions. We therefore construct evaluate WENO schemes also reduce due one source nonlinear error: smoothness measurement governs application stencil adaptation away from optimal stencil. Direct simulations (DNS) include a one-dimensional Euler solution three-dimensional isotropic find modifications we call ''relative limiter'' total variation each significantly enhance thez grid-convergence properties while generating, respectively, small moderate additional computational expense. Moreover, observe these techniques be broadly effective regardless configuration.