On the Development of a Time Domain Method for Caa “The Successes and Failures”

  • Willie R. Watson
Conference paper
Part of the ICASE/NASA LaRC Series book series (ICASE/NASA)


A summary of the successes and failures encountered in developing a time domain steady state numerical method for aeroacoustics in two space dimensions is presented. The equations and boundary conditions governing nonlinear acoustic disturbances propagating through a viscous compressible internal steady flow field are presented. These equations and boundary conditions are evolved to a steady state on a supercomputer using an unsplit MacCormack method. The capabilities of the method are demonstrated by presenting solutions to several linear and nonlinear problems for which the expected trends were known. Results calculated from the method are shown to be superior to those obtained using direct numerical simulation. Also included is the development of a new strategy for evolving acoustic systems to a steady state. This strategy is shown to be very effective in eliminating transient acoustic waves. Failure to obtain the expected steady state solution was observed to occur only in cases where the boundary conditions were inadequate.


Periodic Solution Mach Number Direct Numerical Simulation Steady Flow Acoustic Pressure 
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  1. Watson, Willie R., 1991. A Time Domain Numerical Theory for Studying Steady-State Acoustic Disturbances In Flow, Doctoral Dissertation, The George Washington University, Washington D.C.Google Scholar
  2. Watson, Willie R. and Myers, M. K., 1990. “A two-step iterative method for evolving nonlinear acoustic systems to a steady-state,” to appear in AIAA Journal, May 1992. Also see AIAA Paper No. 90–3946.Google Scholar
  3. Watson, Willie R. and Myers, M. K., 1991. “Inflow-outflow boundary conditions for two-dimensional acoustic waves in channels with flows,” AIAA Journal 29(9), pp. 1383–1389.ADSCrossRefGoogle Scholar
  4. Watson, Willie R. and Myers, M. K., 1992. “Numerical computational of steady-state acoustic disturbances in flow,” AIAA Paper No. 92–02–074.Google Scholar

Copyright information

© Springer-Verlag New York, Inc. 1993

Authors and Affiliations

  • Willie R. Watson
    • 1
  1. 1.NASA Langley Research CenterHamptonUSA

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