Author(s): T. L. Tsai; J. C. Yang; L. H. Huang
Linked Author(s):
Keywords: Cubic-spline interpolation; Advection-diffusion equation
Abstract: The characteristics method by using the cubic-spline interpolation is comparable to the Holly-Preissmann scheme in solving advection portion of the advection-diffusion equation. In order to conduct a cubic-spline interpolation, an additional constraint must be specified at each endpoint. In general, four types of endpoint constraints are available, i.e., the first derivative, second derivative, quadratic and not-a-knot constraints. The goal of this paper is to examine each type of endpoint constraints. A hypothetical case is used to conduct the investigation. Among the four types of constraints examined herein, the not-a-knot constraint and the first derivative constraint with high-order finite difference approximation yield the better results. However, as far as accuracy and simple implementation are concerned the not-a-knot constraint should be the best choice in solving the advection-diffusion equation
Year: 2003