A Method to Obtain von Neumann Stability Conditions for the Convection-Diffusion Equation
Pieter Wesseling · 1996
Abstract For the computation of time-dependent incompressible flows, the pressure-correction method is widely used. For the velocity prediction step something very close to the convection-diffusion equation is solved, and von Neumann stability analysis boils down to von Neumann stability analysis for the convection-diffusion equation, which is the topic of this paper. From now on, by stability we will mean stability in the sense of von Neumann, i.e. non-growth of Fourier components in the frozen coefficients case on an infinite domain.