SpectraSim Documentation
Parameter · 05 Boundary Conditions

Excitation input (amplitude or power)

acoustic_port.input Step 05 · Boundary Conditions

Selects whether the incident wave at this inlet is specified by its pressure amplitude or by its sound power. Both describe the same plane wave; the conversion uses the port area and the density and sound speed of the gas at the port.

Last updated

Theory

The incident wave is the plane wave travelling INTO the model through the port, not the total pressure at the port (which also contains the reflected wave). Its power follows from the amplitude, equation (1); an entered power is converted into an amplitude by the inverse relation, equation (2). The density and sound speed are those of the port's own gas (with a medium mapped from the CFD, at the port's area-mean temperature and pressure).

Because the model is linear, the amplitude does not change the transmission loss of a single inlet. With several excited inlets the reported TL is the solution with all of them driven together, so their RELATIVE amplitudes and phases matter. The TL of each inlet is its incident power over the power leaving each outlet, equation (3); the per-inlet TL sums over the outlets.

Equations

Win=∣A∣2S2ρcW_{in} = \frac{|A|^2 S}{2\rho c}
(1)
∣A∣=2ρc WinS|A| = \sqrt{\frac{2\rho c\,W_{in}}{S}}
(2)
TLij=10lg⁡Win,iWout,j,TLi=−10lg⁡∑j10−TLij/10TL_{ij} = 10\lg\frac{W_{in,i}}{W_{out,j}}, \qquad TL_i = -10\lg\sum_j 10^{-TL_{ij}/10}
(3)
wheremeaningunit
WinW_{in}Incident sound power of the plane waveW
AAIncident pressure amplitudePa
SSPort area (of the second-order mesh)m²
ρ,c\rho, cDensity and speed of sound of the gas at the portkg/m³, m/s
Wout,jW_{out,j}Power leaving outlet j with every excited inlet drivenW

Default and rule

Default
amplitude
Rule

Amplitude (1 Pa).

Source

The plane-wave power in a duct, ∣A∣2S/(2ρc)|A|^2 S/(2\rho c), is the standard result for a uniform medium without flow. With mean-flow convection the program multiplies the modal powers by the convective factor of (Morfey, 1971).

Valid range amplitude | power

Amplitude or power

Use power when the sound powers of the inlets are known (an engine's source power); use amplitude for a unit excitation. Absolute levels matter only for the radiated SPL, which is computed from the insertion loss and an entered source spectrum, not from these values.

References 1

  1. Morfey, C. L. (1971). Acoustic energy in non-uniform flows. Journal of Sound and Vibration, 14(2), 159-170. DOI 10.1016/0022-460X(71)90381-6