A new method for reducing the numerical dispersion in mathematical modeling of miscible injection process

Molecular diffusion and mechanical dispersion are major factors affecting the concentration profiles during the miscible injection process. Solving the diffusivity equation always has some source of numerical error, which is called numerical dispersion. Reducing this error is the key parameter to studying the effect of diffusion and dispersion. In this article, a two-dimensional model has been generated and, according to diffusivity equation, the grid shapes have been defined depending on the front velocity of a grid's position to reduce the numerical dispersion of the system. The predicted concentration profile by this method is in good agreement with the real concentration.