Arti ® cial boundary conditions for incompressible Navier ± Stokes equations : A well - posed result q
نویسنده
چکیده
Numerical simulation of two-dimensional incompressible viscous ̄ows around an obstacle is considered. Two horizontal straight line arti®cial boundaries are introduced and the original ̄ow is approximated by a ̄ow in an in®nite channel with slip boundary condition on the wall. Then two vertical segment arti®cial boundaries are introduced and a series of approximate arti®cial boundary conditions on them are derived by imposing the continuity of velocity and the normal stress. Thus the original problem is reduced to a problem de®ned in a bounded computational domain. The well-posedness of the reduced problem is proved. The ®nite element approximation of this problem is given and error estimates are obtained. Furthermore numerical examples show the accuracy and ef®ciency of our arti®cial boundary conditions. Ó 2000 Published by Elsevier Science S.A. All rights reserved.
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