Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations

@article{Chen2020ConservativeNS,
  title={Conservative Numerical Schemes with Optimal Dispersive Wave Relations: Part II. Numerical Evaluations},
  author={Qingshan Chen and Lili Ju and Roger Temam},
  journal={Journal of Scientific Computing},
  year={2020},
  volume={92},
  pages={1-30}
}
A new energy and enstrophy conserving scheme (EEC) for the shallow water equations is proposed and evaluated using a suite of test cases over the global spherical or bounded domain. The evaluation is organized around a set of pre-defined properties: accuracy of individual operators, accuracy of the whole scheme, conservation of key quantities, control of the divergence variable, representation of the energy and enstrophy spectra, and simulation of nonlinear dynamics. The results confirm that… 

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