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 -