Name
Abstract | ||
|---|---|---|
We present the extension of the complete flux scheme to advection-diffusion-reaction systems. For stationary problems, the flux approximation is derived from a local system boundary value problem for the entire system, including the source term vector. Therefore, the numerical flux 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 flux is determined from a quasi-stationary boundary value problem containing the time-derivative in the source term. Consequently, the complete flux scheme results in an implicit semidiscretization. The complete flux scheme is validated for several test problems. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s10915-012-9588-5 | J. Sci. Comput. |
Keywords | Field | DocType |
Advection-diffusion-reaction systems, Flux (vector), Finite volume method, Integral representation of the flux, Green’s matrix, Numerical flux, Matrix functions, Peclet matrix | Green's matrix,Boundary value problem,Mathematical optimization,Mathematical analysis,Matrix function,Local system,Flux,Operator (computer programming),Finite volume method,Mathematics,Conservation law | Journal |
Volume | Issue | ISSN |
53 | 3 | 1573-7691 |
Citations | PageRank | References |
1 | 0.43 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. H. Thije Boonkkamp | 1 | 23 | 7.77 |
| Jan van Dijk | 2 | 352 | 27.66 |
| L. Liu | 3 | 1 | 0.43 |
| K. S. Peerenboom | 4 | 6 | 2.55 |