Computation of thermo-acoustic modes in combustors
Jan-willem van Leeuwen
Site of the project:
CERFACS
42, Avenue Gaspard Coriolis
31057 Toulouse Cedex 01
France
start of the project:
May 2006
In August 2006 the
Interim Thesis has appeared
and a
presentation has been given.
The Master project has been finished in June 2007
by the completion of the
Masters Thesis and a final
presentation has been given.
For working address etc. we refer to our
alumnipage.
Summary of the master project:
Combustion oscillations are frequently encountered during the
development of
many combustion chambers for gas turbines. Testing burners in
simplified
combustions chambers is a common method to verify their stability but
this is
also an ambiguous approach because a given burner can be unstable in
one
chamber and not in the other. Predicting methods are therefore
requested.
A proper framework to analyse the combustion stability is the wave
equation in
a reacting flow. The thermo-acoustic modes can then be computed from
the
Helmholtz equation, the frequency domain version of the wave equation,
by
solving a large nonlinear eigenproblem.
The goal of this master's research is to improve the existing method
for
solving the nonlinear eigenproblem. The solution of this eigenproblem
is one
of the most time consuming parts of the analysis. The currently used
solution
method is a fixed point method in which in each iteration a large
quadratic
eigenproblem is solved. In the graduation research another approach,
based on
the Jacobi-Davidson method, will be investigated for solving the
nonlinear
eigenproblem. This techniques combines a Newton-iteration with a
subspace
acceleration. The Jacobi-Davidson method will be evaluated and
compared with
the fixed point iteration for a number of test problems, ranging from
academic to realistic.
Thermo-acoustic mode in a combustion chamber
Contact information:
Kees
Vuik
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