An evaluation of gradient term modification methods for linearized euler equations: ICSV 2016 - 23rd International Congress on Sound and Vibration: From Ancient to Modern Acoustics

Y. Sun, S. Zhong, R. Fattah, X. Zhang, X. Chen

Research output: Unpublished conference presentation (presented paper, abstract, poster)Conference presentation (not published in journal/proceeding/book)Academic researchpeer-review

Abstract

Simulation of sound propagation by solving linearized governing equations using time-domain methods can produce numerical instabilities in the solutions with sheared mean-flow. Several methods, including flow decomposition via source filtering, gradient term filtering, and gradient term suppression have been developed to suppress the on-set of numerical instabilities. Each method modified the governing equations differently, which may change the accuracy and physics of sound propagation. In this work, some of the existing methodologies are reviewed, and three new formulations are proposed. Several numerical tests with different background mean-flow are conducted to evaluate the modelling accuracy, and computation cost, by each method. The proposed new methods are shown offering improvement over the existing methods.
Original languageEnglish
Publication statusPublished - 2016

Keywords

  • Acoustic wave propagation
  • Linearization
  • Numerical methods
  • Computation costs
  • Flow decomposition
  • Governing equations
  • Linearized EUler equation
  • Modification methods
  • Numerical instability
  • Sound propagation
  • Time-domain methods
  • Time domain analysis

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