Numerical study of an inviscid incompressible flow through a channel of finite length

TY - JOUR

T1 - Numerical study of an inviscid incompressible flow through a channel of finite length

AU - Govorukhin, Vasily

AU - Ilin, Konstantin

PY - 2009/10/1

Y1 - 2009/10/1

N2 - A two-dimensional 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 pseudo-symplectic 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.

AB - A two-dimensional 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 pseudo-symplectic 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.

KW - Fluid Dynamics

KW - particle methods;

KW - Galerkin method;

KW - partial differential equations;

KW - time integration;

KW - Euler flow;

KW - incompressible flow;

KW - flow through a given domain

UR - http://www.scopus.com/inward/record.url?scp=70349625793&partnerID=8YFLogxK

U2 - 10.1002/fld.1932

DO - 10.1002/fld.1932

M3 - Article

SN - 0271-2091

VL - 60

SP - 1315

EP - 1333

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 12

ER -