Computations of steady and unsteady transport of pollutant in shallow water

Authors:
Li Cai;Jian-Hu Feng;Wen-Xian Xie;Jun Zhou
Affiliations:
College of Astronautics, Northwestern Polytechnical University Xi'an, Shaanxi 710072, PR China;College of Science, Chang'an University Xi'an, Shaanxi 710064, PR China;School of Science, Northwestern Polytechnical University Xi'an, Shaanxi 710072, P.R.China;College of Astronautics, Northwestern Polytechnical University Xi'an, Shaanxi 710072, PR China
Venue:
Mathematics and Computers in Simulation
Year:
2006

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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.