Criteria for stability in numerical methods [articol]

Abstract

Numerical solutions of convection-dispersion equation are numerous, but Finite Difference method has disadvantages two undesirable characteristics: stability criterion and numerical dispersion. Like most explicit schemes, this method is only under certain conditions. If the stability criterion is not met, the numerical model is prone to oscillations in space or time. The paper makes a comparative analysis between explicit forms central and upwind and analytical method of a homogeneous and isotropic system, 1D. Results will emphasize the upwind form is more stable than the central form, regardless of variation of Peclet