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Abstract
A twodimensional inviscid incompressible flow in a rectilinear channel of finite length is studied numerically. Both the normal velocity and the vorticity are given at the inlet, and only the normal velocity is specified at the outlet. The flow is described in terms of the stream function and vorticity. To solve the unsteady problem numerically, we propose a version of the vortex particle method. The vorticity field is approximated using its values at a set of fluid particles. A pseudosymplectic integrator is employed to solve the system of ordinary differential equations governing the motion of fluid particles. The stream function is computed using the Galerkin method. Unsteady flows developing from an initial perturbation in the form of an elliptical patch of vorticity are calculated for various values of the volume flux of fluid through the channel. It is shown that if the flux of fluid is large, the initial vortex patch is washed out of the channel, and when the flux is reduced, the initial perturbation evolves to a steady flow with stagnation regions.
Original language  English 

Pages (fromto)  13151333 
Number of pages  19 
Journal  International Journal for Numerical Methods in Fluids 
Volume  60 
Issue number  12 
DOIs  
Publication status  Published  1 Oct 2009 
Keywords
 Fluid Dynamics
 particle methods;
 Galerkin method;
 partial differential equations;
 time integration;
 Euler flow;
 incompressible flow;
 flow through a given domain
Projects
 1 Finished

Stability of Inviscid flows through a given domain
1/03/06 → 29/02/08
Project: Research project (funded) › Research