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Solution of 2D Navier-Stokes equation by coupled finite difference-dual reciprocity boundary element method. (English) Zbl 1217.76026
Summary: 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.

76D05 Navier-Stokes equations for incompressible viscous fluids
76M15 Boundary element methods applied to problems in fluid mechanics
76M20 Finite difference methods applied to problems in fluid mechanics
Full Text: DOI
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