Oberseminar Numerische Mathematik / Scientific Computing
J.H.M. ten Thije Boonkkamp
Eindhoven University of Technology
The finite volume-complete flux scheme for advection-diffusion-reaction equations
Abstract:
We present a new integral representation for the flux of the steady, one-dimensional advection-diffusionreaction equation, which is based on the solution of a local boundary value problem for the entire equation, including the source term. The flux therefore consists of two parts, corresponding to the homogeneous and particular solution of the boundary value problem. Applying suitable quadrature rules to the integral representation gives the complete flux scheme, which is second order accurate, uniformly in the local Peclet numbers. The flux approximation is combined with a finite volume method, and the resulting finite volume-complete flux scheme is validated for several test problems. Extensions of the scheme to two space dimensions and time dependent problems are discussed
| Datum: | 10.11.08 | Zeit: | 14:15 Uhr | Ort: | FU Berlin, Institut für Mathematik, Arnimallee 6, 14195 Berlin. | Raum: | 032 im Erdgeschoss |