TY - BOOK
T1 - The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems
AU - Thije Boonkkamp, ten, J.H.M.
AU - Dijk, van, J.
AU - Liu, L.
AU - Peerenboom, K.S.C.
PY - 2010
Y1 - 2010
N2 - We present the extension of the complete flux scheme to advection-diffusion-reaction systems. 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 homogeneous and the particular solution of the boundary value problem, respectively. The complete flux scheme is validated for a test problem and shows uniform second order convergence behaviour.
AB - We present the extension of the complete flux scheme to advection-diffusion-reaction systems. 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 homogeneous and the particular solution of the boundary value problem, respectively. The complete flux scheme is validated for a test problem and shows uniform second order convergence behaviour.
M3 - Report
T3 - CASA-report
BT - The finite volume-complete flux scheme for one-dimensional advection-diffusion-reaction systems
PB - Technische Universiteit Eindhoven
CY - Eindhoven
ER -