CERFACS CERFACS Scientific Activity Report Jan. 2010 â Dec. 2011
CERFACS CERFACS Scientific Activity Report Jan. 2010 â Dec. 2011
CERFACS CERFACS Scientific Activity Report Jan. 2010 â Dec. 2011
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COMPUTATIONAL FLUID DYNAMICS<br />
(a)<br />
(b)<br />
FIG. 3.1: Application of a UQ method to turbomachine configurations : influence of inlet turbulent Reynolds<br />
number Re t and turbulent intensity Tu on (a) the transition abscissa in a turbine guide vane (the leading<br />
edge, resp. the trailing edge, is located at S = 0mm, resp. S = 85mm) and (b) the wall heat flux.<br />
3.1.2 Uncertainty quantification : development of a stochastic collocation method<br />
(K. Dewandel, N. Gourdain)<br />
The simulations of flows in real gas turbine configurations usually consider geometries and flows that<br />
are different from the reality (ill-defined boundary conditions, inaccuracy of the geometry, etc.). These<br />
differences can significantly affect the accuracy of the numerical solution. The aim of this work was thus<br />
to apply a method to turbomachinery test cases, in order to estimate the influence of unknown/uncertain<br />
parameters on the numerical solution. The approach is based on a Stochastic-Collocation (SC) method,<br />
based on Clenshaw-Curtis sampling points.<br />
This method is validated against the classical Monte-Carlo (MC) method (that uses random sample points<br />
to describe the space of parameters) [CFD38]. The computational cost required to evaluate the sensitivity<br />
to two parameters is reduced by a factor 30 with the SC method compared to MC. The SC method is<br />
then applied to an inlet guide vane of a high-pressure turbine (shown in Fig. 3.7) and a three and a half<br />
stage compressor (shown in Fig. 3.4). For the turbine case, the results quantify the sensitivity of the wall<br />
heat transfer to inlet turbulent intensity, inlet turbulent Reynolds number and outlet Mach number. For the<br />
compressor case, the study shows the dependence of the overall performance (pressure ratio, efficiency<br />
and stability) to the size of the rotor tip clearances. An example of how such methods can provide useful<br />
information is reported for the turbine test case in Fig. 3.1(a) (dependency of the transition abscissae to inlet<br />
turbulence) and Fig. 3.1(b) (dependency of wall heat fluxes prediction to inlet turbulence).<br />
3.1.3 Code coupling methods : application to elsA / AVBP<br />
(E. Collado Morata, F. Duchaine, M. Montagnac)<br />
CFD for turbomachinery usually focuses only on isolated components while real systems involve<br />
interactions between different components and physics (aerodynamics, heat transfer, combustion, etc.). The<br />
goal of this research topic is to enable large-scale integrated simulations of unsteady turbulent flows in gas<br />
turbines. The study is a preliminary mandatory work to achieve the objective of other ambitious projects,<br />
such as FACTOR (flow simulation in a combustion chamber simulator coupled with the high-pressure<br />
turbine) and COPA-GT (flow simulation in the compressor/combustor module). Due to the specificity<br />
<strong>CERFACS</strong> ACTIVITY REPORT 147