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Abstract
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Computation of viscous fluid flow is an area of research where many authors have tried to
present different numerical methods for solution of the Navier–Stokes equations. Each of
these methods has its own advantages and weaknesses. In the meantime, many researchers
have attempted to develop coupled numerical algorithms in order to save storage for
computational purposes and to save computational time.
In this paper, a new coupled method is presented for the first time by combining FDM
and DRBEM for solving the stream function–vorticity formulation of the Navier–Stokes
equations. The vorticity transport equation is analyzed using a finite difference technique
while the stream function Poisson’s equation is solved using a dual reciprocity boundary
element method.
Finally, the robustness and accuracy of the coupled FDM–DRBEM model is proved using
the benchmark problem of the flow in a driven square cavity.
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