Accession Number : ADA258774


Title :   Singularities of the Euler Equation and Hydrodynamic Stability


Descriptive Note : Research rept.


Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA


Personal Author(s) : Tanveer, S ; Speziale, Charles G


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a258774.pdf


Report Date : Oct 1992


Pagination or Media Count : 23


Abstract : Equations governing the motion of a specific class of singularities of the Euler equation in the extended complex spatial domain are derived. Under some assumptions it is shown how this motion is dictated by the smooth part of the complex velocity at a singular point in the unphysical domain. These results are used to relate the motion of complex singularities to the stability of steady solutions of the Euler equation. A sufficient condition for instability is conjectured. Several examples are presented to demonstrated the efficacy of this sufficient condition, which include the class of elliptical flows and the Kelvin-Stuart Cat's Eye.


Descriptors :   *STABILITY , *EULER EQUATIONS , *INVISCID FLOW , *INSTABILITY , *INCOMPRESSIBLE FLOW , *HYDRODYNAMICS , VELOCITY , FLUID MECHANICS , STEADY FLOW , LAGRANGIAN FUNCTIONS , MOTION , EIGENVALUES , FLOW FIELDS , THREE DIMENSIONAL , TURBULENCE , MATHEMATICAL MODELS


Subject Categories : Numerical Mathematics
      Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE