Spectral Decomposition in Advection-Diffusion Analysis by Finite Element Methods,

摘要

A spectral decomposition method based upon finite element modeling has been compared to a Crank-Nicolson direct integration solution scheme and the exact solution for the one-dimensional, nonlinear system defined by Burger's equation. Results from this study are applicable to both fluid mechanics and combined conduction-convection heat transfer. The parameter alpha, which governs the importance of diffusive transport, was varied over a sufficiently wide range such that comments on the comparisons are general.