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A Dual Reciprocity Boundary Element Formulation Using The Fractional Step Method For The Incompressible Navier-stokes Equations

机译:不可压缩的Navier-stokes方程的分数步法对偶互易边界元公式

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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.
机译:针对二维不可压缩流中的非定常Navier-Stokes方程,提出了一种双互易性边界元求解方法,其中采用分数步法进行时间提前。非线性对流项使用完全显式的二阶Adams-Bashforth方案。我们对两个示例进行了数值测试:泰勒-格林涡旋和雷诺数最大为400的盖驱动方腔流。将前一种情况的结果与解析解进行比较,将后者与解析解中可用的数值进行比较文献。总的来说,该协议很好地证明了分步法,双互易性边界元解公式在不可压缩流的Navier-Stokes方程中的适用性和准确性。

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