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

@article{Taylor2007OptimizationON,
  title={Optimization of nonlinear error for weighted essentially non-oscillatory methods in direct numerical simulations of compressible turbulence},
  author={Ellen M. Taylor and Minwei Wu and M. Pino Mart{\'i}n},
  journal={J. Comput. Physics},
  year={2007},
  volume={223},
  pages={384-397}
}
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 flow features such as turbulence. Under certain conditions in compressible turbulence, however, numerical dissipation remains unacceptably high even after optimization of the linear component that dominates in smooth regions. We therefore construct and evaluate WENO schemes that also reduce dissipation due… CONTINUE READING

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