Loading...

Numerical solution of high-frequency oscillations of a gas column using a modified lax-wendroff scheme

Ghasemi, A ; Sharif University of Technology | 2006

328 Viewed
  1. Type of Document: Article
  2. Publisher: Katholieke Universiteit Leuven , 2006
  3. Abstract:
  4. Recently, several high-order accurate methods have been developed for solving nonlinear equations governing in the high-frequency oscillations of a fluid column. If we assume that the value of Reynolds and Prandtl numbers are high enough then it is possible to neglect the effect of Stokes Layer and it has been previously shown that the calculated pressure profile obtained by solving three-dimensional axisymmetric compressible NS (Navier-Stokes) equations is in good agreement with one-dimensional adiabatic model of Ilinskii. For this particular flow which is the typical of engineering flows inside acoustical compressors, it is clear that high-resolution simulation of NS equations in higher dimensions is quite expensive. For this reason, a quick method based on the lax-wendroff scheme is used in this paper for solving the one-dimensional adiabatic model. The numerical method used here is simpler in implementation than previous lagrangian and spectral approaches and is considerably more efficient than three-dimensional solutions. The results agree well with previous multi-dimensional solutions. © (2006) by the Katholieke Universiteit Leuven Department of Mechanical Engineering All rights reserved
  5. Keywords:
  6. Engineering ; Industrial engineering ; Engineering flows ; High frequency oscillations ; High resolution simulations ; Lax-Wendroff scheme ; Numerical solution ; Pressure profiles ; Solving nonlinear equations ; Three-dimensional solutions ; Navier Stokes equations
  7. Source: International Conference on Noise and Vibration Engineering 2006, ISMA 2006, Heverlee, 18 September 2006 through 20 September 2006 ; Volume 4 , 2006 , Pages 2191-2199