RKC time-stepping for advection-diffusion-reaction problems
| Autor: | Jan Verwer, Ben Sommeijer, Willem Hundsdorfer |
|---|---|
| Přispěvatelé: | Analysis (KDV, FNWI) |
| Rok vydání: | 2004 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Differential equation Applied Mathematics Mathematical analysis Parabolic partial differential equation Computer Science Applications Numerical integration Computational Mathematics Runge–Kutta methods Modeling and Simulation Reaction–diffusion system Diffusion (business) Convection–diffusion equation Hyperbolic partial differential equation Mathematics |
| Zdroj: | Journal of computational Physics, 201, 61-79. Academic Press Inc. |
| ISSN: | 1090-2716 0021-9991 |
| DOI: | 10.1016/j.jcp.2004.05.002 |
| Popis: | The original explicit Runge-Kutta-Chebyshev (RKC) method is a stabilized second-order integration method for pure diffusion problems. Recently, it has been extended in an implicit explicit manner to also incorporate highly stiff reaction terms. This implicit-explicit RKC method thus treats diffusion terms explicitly and the highly stiff reaction terms implicitly. The current paper deals with the incorporation of advection terms for the explicit method, thus aiming at the implicit-explicit RKC integration of advection-diffusion-reaction equations in a manner that advection and diffusion terms are treated simultaneously and explicitly and the highly stiff reaction terms implicitly. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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