Computations of steady and unsteady transport of pollutant in shallow water

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

Mathematics and Computers in Simulation (MATCOM), 2006, vol. 71, issue 1, 31-43

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.

Keywords: Transport of pollutant; Shallow water equations; Central-upwind schemes; Central weighted essentially non-oscillatory (CWENO) schemes (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:71:y:2006:i:1:p:31-43

DOI: 10.1016/j.matcom.2005.10.002

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