THESE de DOCTORAT - cerfacs

4
Validation of the acoustic code AVSP-f
Contents
4.1 Fundamental validation cases . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
4.1.1 A Monopole in free space . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
4.1.2 A Dipole in free space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
4.1.3 Three poles out of phase in free space . . . . . . . . . . . . . . . . . . . . 62
4.2 The 2D premixed laminar flame . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
4.2.1 CFD computation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
4.2.2 Input data for the acoustic code . . . . . . . . . . . . . . . . . . . . . . . . 67
4.2.3 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
4.1 Fundamental validation cases
The sound radiation produced by arbitrary 2D monopoles embedded in a free and quiescent
field is computed by the numerical tool AVSP-f. Non-reflecting boundary conditions are applied
on the computational boundaries in order to mimic the free-field condition. Results obtained
by AVSP-f are subsequently compared to those evaluated analytically.
The non-homogenous Helmholtz equation can be written as
∇ 2 ˆp(x, ω) + k 2 ˆp(x, ω) =
Ŝ(y, ω)
¯c 2 (4.1)
58