Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows

@article{Motheau2020InvestigationOF,
  title={Investigation of finite-volume methods to capture shocks and turbulence spectra in compressible flows},
  author={Emmanuel Motheau and John Wakefield},
  journal={Communications in Applied Mathematics and Computational Science},
  year={2020}
}
The aim of the present paper is to provide a comparison between several finite-volume methods of different numerical accuracy: second-order Godunov method with PPM interpolation and high-order finite-volume WENO method. The results show that while on a smooth problem the high-order method perform better than the second-order one, when the solution contains a shock all the methods collapse to first-order accuracy. In the context of the decay of compressible homogeneous isotropic turbulence with… 
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