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Computations of steady and unsteady transport of pollutant in shallow water

Author

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  • Cai, Li
  • Feng, Jian-Hu
  • Xie, Wen-Xian
  • Zhou, Jun

Abstract

We present new models for simulating the steady and unsteady transport of pollutant. Then the simple central-upwind schemes based on central weighted essentially non-oscillatory reconstructions are proposed in this paper for computing the one- and two-dimensional steady and unsteady models. Since the non-uniform width of the different local Riemann fans is calculated more accurately, the central-upwind schemes enjoy a much smaller numerical viscosity as well as the staggering between two neighboring sets of grids is avoided. Synchronously, due to the central-upwind schemes are combined with the fourth-order central weighted essentially non-oscillatory reconstructions, the schemes have the non-oscillatory behavior. The numerical results show the desired accuracy, high-resolution, and robustness of our methods.

Suggested Citation

  • Cai, Li & Feng, Jian-Hu & Xie, Wen-Xian & Zhou, Jun, 2006. "Computations of steady and unsteady transport of pollutant in shallow water," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 71(1), pages 31-43.
    • Handle: RePEc:eee:matcom:v:71:y:2006:i:1:p:31-43
    DOI: 10.1016/j.matcom.2005.10.002
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