Author(s): X. Liu; A. Mohammadian; J. A. Infante Sedano
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Keywords: Exponential integrator; Rung-kutta scheme; Advection-diffusion; Numerical modelling
Abstract: The advective diffusion is commonly observed in the outfall system, and is of considerable importance. Numerical simulation of the advective diffusion is very important to predict the evolution of the released matters in the waterways. In the current study, a basic advection-diffusion equation with analytical solution is adopted as governing equation of contaminant transportation, and is spatially discretized using the finite difference method. In order to achieve a desired accuracy in time, an efficient high order exponential integrator is used to treat the temporal derivative. A fourth order exponential Runge-Kutta method is used in the current study and compared with classic Runge-Kutta method. The performance of adopted exponential integrator is investigated in terms of accuracy and stability.
Year: 2016