I am planning on working on a FE based CFD solution for
compressible flows. Being new to CFD, I started with the third volume
of Zienkiewicz's book "Finite Element Method" where he has described
a CBS algorithm. In the book, the authors have strongly advocated its
use, and say that this is a generic algorithm and can be used for any
kind of flow.
The algorithms consists of 4 steps:
step1: approximate new mass flux using the momentum equations
step2: calculate new pressures
step3: correct mass flux
step4: solve energy equations
This algorithm involves solving multiple systems of equations.
I have a few questions:
-- Has anyone on this mailing list had any experience with this
-- As I understand, the multiple steps arise out of an attempt to
obtain the optimal variational formulation of the PDEs so that simple
Galerkin discretization could be used. This is obtained by employing
a characteristic based flux split. Are there other generic
formulations that lead to a single system of equations instead of a
multistep algorithm? How do these match-up against this CBS-Galerkin
Please recommend some good references if possible.