A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems

  title={A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems},
  author={Smadar Karni and Alexander Kurganov and Guergana Petrova},
  journal={Journal of Computational Physics},
The formation of shock waves in solutions of hyperbolic conservation laws calls for locally adaptive numerical solution algorithms and requires a practical tool for identifying where adaption is needed. In this paper, a new smoothness indicator (SI) is used to identify “rough” solution regions and is implemented in locally adaptive algorithms. The SI is based on the weak local truncation error of the approximate solution. It was recently reported in S. Karni and A. Kurganov, Local error… 

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