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Title of article :
A dual reciprocity boundary element formulation using the fractional step method for the incompressible Navier–Stokes equations
Author/Authors :
Choi، نويسنده , , Chang-Yong and Balaras، نويسنده , , Elias، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
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Abstract :
This paper presents a dual reciprocity boundary element solution method for the unsteady Navier–Stokes equations in two-dimensional incompressible flow, where a fractional step algorithm is utilized for the time advancement. A fully explicit, second-order, Adams–Bashforth scheme is used for the nonlinear convective terms. We performed numerical tests for two examples: the Taylor–Green vortex and the lid-driven square cavity flow for Reynolds numbers up to 400. The results in the former case are compared to the analytical solution, and in the latter to numerical results available in the literature. Overall the agreement is excellent demonstrating the applicability and accuracy of the fractional step, dual reciprocity boundary element solution formulations to the Navier–Stokes equations for incompressible flows.
Keywords :
DUAL RECIPROCITY BOUNDARY ELEMENT METHOD , Navier–Stokes equation , Fractional step method , Adams–Bashforth scheme , Taylor–Green vortex , Lid-driven square cavity
Journal title :
Engineering Analysis with Boundary Elements
Journal title :
Engineering Analysis with Boundary Elements
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