Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967969 | Journal of Computational Physics | 2016 | 46 Pages |
Abstract
We construct, analyze and assess various schemes of second order of accuracy in space and time for model advection-diffusion-reaction differential equations. The constructed schemes are meant to be of practical use in solving industrial problems and are derived following two related approaches, namely ADER and MUSCL-Hancock. Detailed analysis of linear stability and local truncation error are carried out. In addition, the schemes are implemented and assessed for various test problems. Empirical convergence rate studies confirm the theoretically expected accuracy in both space and time.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
S. Busto, E.F. Toro, M.E. Vázquez-Cendón,