LI Ming-jun, GAO Zhi. Analysis and Application of Ellipticity of Stability Equations on Fluid Mechanics[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1179-1185.
Citation: LI Ming-jun, GAO Zhi. Analysis and Application of Ellipticity of Stability Equations on Fluid Mechanics[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1179-1185.

Analysis and Application of Ellipticity of Stability Equations on Fluid Mechanics

  • Received Date: 2001-08-21
  • Rev Recd Date: 2003-05-28
  • Publish Date: 2003-11-15
  • By using characteristic analysis of the linear and nonlinear parabolic stability equations(PSE), PSE of primitive disturbance variables are prored to be parabolic in total. By using sub-characteristic analysis of PSE, the linear PSE are proved to be elliptical and hyperbolic-parabolic, for velocity U, in subsonic and supersonic:respectively U+u in subsonic and supersonic, respectively. The methods are gained that the remained ellipticity is removed from the PSE by characteristic and sub-characteristic theories, the results for the linear PSE are consistent with the known results, and the influence of the Mach number is also given out. At the same time, the methods of removing the remained ellipticity are further obtained from the nonlinear PSE.
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