Abstract

Due to dispersive errors, numerical dissipation of the advection terms may have a great influence on numerical solution accuracy of advection-diffusion issue. It is necessary to grasp numerical dissipation level before putting some scheme into use. Considering the lack of quantitativeindicatoronnumericaldissipation, the quantitative indicator and research method were established in this paper. The method was successfully used to study the false diffusion law of QUICKEST discrete scheme and guild how to choose an appropriate discrete scheme in numerical simulation of salinity of Yangtze river estuary.

The results show that the false diffusion coefficient could be applied to characterize the numerical dissipation level. The value of the false diffusion coefficient can be obtained according to the true dispersion effect.

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