|
|
Anum Nuhu Marnah
| Speaker: |
Anum Nuhu Marnah
|
| Date: |
Wednesday August 20, 2008
|
| Title: |
Complete
Flux Scheme for Compressible Flow Computation (Master's Thesis
Presentation)
|
Abstract
|
In the
complete flux scheme the numerical flux at a cell interface is computed
from the complete differential equation, including the sourceterm. This
way we get a numerical flux consisting of two parts, i.e., the
homogeneous flux corresponding to the advection-diffusion operator, and
the inhomogeneous flux, corresponding to the source term. The numerical
flux behaves second order accurate, uniformly in the local Peclet
numbers. We have combined the complete flux scheme with the
cell-centred finite volume method and the resulting numerical scheme is
second order accurate and is not prone to spurious oscillations, even
for dominant advection.
We derive a one-dimensional steady flow model from the Navier-Stokes
equations, analyse the model and compute the numerical solution using
the CF scheme.
|
|
