Stability and accuracy of a semi-implicit Godunov scheme for mass transport

• Published in: International journal for numerical methods in fluids Vol. 45; no. 4; pp. 365 - 389
• Main Author: Bradford, Scott F.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 10.06.2004; Wiley
• Subjects: accuracy; Computational methods in fluid dynamics; Exact sciences and technology; finite volume; Fluid dynamics; Fundamental areas of phenomenology (including applications); Godunov; mass transport; Physics; semi-implicit; stability; Computational fluid dynamics; Digital simulation; Geophysics; Modelling; Large scale; Discretization method; Finite volume methods; Numerical stability; Mass transfer

Semi‐implicit, Godunov‐type models are adapted for solving the two‐dimensional, time‐dependent, mass transport equation on a geophysical scale. The method uses Van Leer's MUSCL reconstruction in conjunction with an explicit, predictor–corrector method to discretize and integrate the advection a...