Analyzing the Lighthill Wave Solution

At the end of the simulation, you analyze the Lighthill Wave solution using the prepared plots and scenes.

To analyze the Lighthill Wave solution:
  1. Examine the plots that display the Lighthill pressure at the microphone and the pressure transducer by clicking through the Microphone: Lighthill Pressure Monitor Plot and Pressure Transducer: Lighthill Pressure Monitor Plot tabs in the Graphics window.
    The following plots display the results after the run:




    After 0.07 s, the Lighthill pressure at the microphone reaches a quasi-steady state and stabilizes at -0.2 Pa. At the pressure transducer, where turbulent structures are dominant, the Lighthill pressure shows stronger fluctuations.
  2. For comparison with the subsequent Perturbed Convective Wave solution, export the plots to *.csv files:
    1. Right-click the Plots > Microphone: Lighthill Pressure Monitor Plot node and select Export.
    2. In the Save dialog, set File Name to MicrophoneLighthillPressure, then click Save.
    3. Repeat Steps 2a and b to save the Pressure Transducer: Lighthill Pressure Monitor Plot to a file named PressureTransducerLighthillPressure.
  3. To examine the time derivative of Lighthill pressure within the flow domain, click the Lighthill Pressure Time Derivative tab.
    The following screenshot shows the Lighthill pressure time derivative:


    The Lighthill pressure radiates from the HVAC duct into the test chamber. Similar to the Lighthill pressure plots, the Lighthill pressure field shows strong fluctuations at the HVAC duct and less fluctuations in some distance away from the duct. In these quiescent flow regions, where the velocity is almost zero, you can see sound waves propagating through the test chamber.

  4. Localize the volumetric sources of Lighthill pressure in the RMF of Lighthill Source (dB) scene:
    1. Click the RMS of Lighthill Source (dB) tab.
      The following screenshot displays the sources at a level of 60 dB:


    2. To localize Lightill sources of higher levels, select the RMS of Lighthill Source (dB) > Scalar 1 > Resampled Volume Settings > Isosurface Mode > Value node and set Isovalue to 70 db, then to 80 dB.
      The following screenshots show the sources of Lighthill pressure at these levels, respectively:


      The volumetric Lighthill source reaches its maximum values close to the surfaces and edges of the duct geometry.
  5. Save the simulation.