Samenvatting
We present the extension of the complete ¿ux scheme to advection-diffusion-reaction systems. For stationary problems, the ¿ux approximation is derived from a local system boundary value problem for the entire system, including the source term vector. Therefore, the numerical ¿ux vector consists of a homogeneous and an inhomogeneous component, corresponding to the advection-diffusion operator and the source term, respectively. For time-dependent systems, the numerical ¿ux is determined from a quasi-stationary boundary value problem containing the time-derivative in the source term. Consequently, the complete ¿ux scheme results in an implicit semidiscretisation. The complete ¿ux scheme is validated for several test problems.
Keywords: Advection-diffusion-reaction systems, ¿ux (vector), ¿nite volume method, integral representation of the ¿ux, Green’s matrix, numerical ¿ux, matrix functions, Péclet matrix.
| Originele taal-2 | Engels |
|---|---|
| Plaats van productie | Eindhoven |
| Uitgeverij | Technische Universiteit Eindhoven |
| Aantal pagina's | 19 |
| Status | Gepubliceerd - 2012 |
Publicatie series
| Naam | CASA-report |
|---|---|
| Volume | 1205 |
| ISSN van geprinte versie | 0926-4507 |
Vingerafdruk
Citeer dit
Thije Boonkkamp, ten, J. H. M., Dijk, van, J., Liu, L., & Peerenboom, K. S. C. (2012). Extension of the complete flux scheme to systems of conservation laws. (CASA-report; Vol. 1205). Eindhoven: Technische Universiteit Eindhoven.