CERFACS CERFACS Scientific Activity Report Jan. 2010 – Dec. 2011

Table des figures
CERFACS chart as of Dec. 31, 2011 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
xv
1 Parallel Algorithms Project 1
2 Electromagnetism and Acoustics Team 45
2.1 Reflectarray part of the TSA-CNES antenna at 9.65 Ghz including 12 × 24 cells. . . . . . 54
2.2 Computed and measured radiation pattern when the main lobe is in the normal direction. . 54
2.3 Computed and measured modification of the main lobe resulting from a suitable data set of
the impedance cells. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
2.4 Bistatic pattern of a rectangular brick obtained by solving the C3IE on usual and refined
meshes and the CFIE on a very refined mesh. . . . . . . . . . . . . . . . . . . . . . . . . 55
2.5 Bistatic pattern obtained by the RS-C3IE. . . . . . . . . . . . . . . . . . . . . . . . . . . 55
2.6 A view of the refined mesh around the sharp edges of the geometry. . . . . . . . . . . . . 55
2.7 View of a multi-perforated wall of the combustion chamber of an aircraft engine (Courtesy
of SNECMA). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
2.8 Finite size array of perforations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
2.9 Reflection coefficient corresponding to the finite size array. . . . . . . . . . . . . . . . . . 56
2.10 Reflection coefficient corresponding to the infinite array. . . . . . . . . . . . . . . . . . . 56
2.11 Homogeneous sphere of radius 1 and index of refraction n = 4. . . . . . . . . . . . . . . 56
2.12 Sphere D of radius 1 and index of refraction n = 4 containing a cavity D 0 , a sphere of
radius 0.25. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
2.13 Almond geometry. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
2.14 Radar Cross Section of the dielectric almond : ε r = 4, k = 28m −1 and 200000 degrees of
freedom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
2.15 Non smooth solution : behaviour of uniform (uni) and adaptive (adp) algorithms . . . . . . 59
4.1 Mean flow. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
4.2 Real part the components of Euler velocity ( on left obtained form the Galbrun system, on
right with the potential approach. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
4.3 Real part of the displacement component for a value Z. . . . . . . . . . . . . . . . . . . . 64
4.4 Real part the components of the Euler velocity ( on left obtained form the potential approach
system, at middle form the new model, on right with the Galbrun system. . . . . . . . . . 65
4.5 Relative error versus the number of iterations for different relaxation coefficients . . . . . 66
4.6 DDM solution for a non uniform mean flow . . . . . . . . . . . . . . . . . . . . . . . . . 67
CERFACS ACTIVITY REPORT
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