Gang Li, Jinmei Gao and Qiuhua Liang A well-balanced weighted essentially non-oscillatory scheme for pollutant transport in shallow water International Journal for Numerical Methods in Fluids 71
We present a well-balanced finite difference weighted essentially non-oscillatory scheme to transport and diffusion of pollutant in shallow water flows. The scheme balances exactly the flux gradients and the source terms. Extensive numerical experiments on uniform and curvilinear meshes strongly suggest that high resolution results are achieved for water depth and pollutant concentration. The scheme is also efficient and robust and can be applied for practical numerical simulation of pollutant transport phenomena in shallow water flows.
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