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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadric differential quadrature method
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Numerical computation of three-dimensional incompressible viscous flows in the primitive variable form by local multiquadric differential quadrature method

机译:局部多二次微分求积法计算原始变量形式的三维不可压缩粘性流的数值计算

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In this paper, the local multiquadric differential quadrature (LMQDQ) method is applied on three-dimensional incompressible flow problems. The LMQDQ method is among the newly proposed mesh-free methods. Unlike the traditional differential quadrature (DQ) method, the weighting coefficients of LMQDQ method are determined by using the radial basis functions (RBFs) as the trial functions instead of high-order polynomials. The main concern of this paper is to discuss the effectiveness of using LMQDQ method to solve 3-D incompressible Navier-Stokes (N-S) equations in the primitive-variable form. Three-dimensional lid-driven cavity flow problem with Reynolds numbers of 100, 400 and 1000 was chosen as a test case to validate the LMQDQ method. The computed velocity profiles along the vertical and horizontal centerlines are given and compared with available data in the literature.
机译:本文将局部多元二次微分(LMQDQ)方法应用于三维不可压缩流动问题。 LMQDQ方法是新提出的无网格方法之一。与传统的差分正交(DQ)方法不同,LMQDQ方法的加权系数是通过使用径向基函数(RBF)作为试验函数而不是高阶多项式来确定的。本文的主要关注点是讨论使用LMQDQ方法求解原始变量形式的3-D不可压缩Navier-Stokes(N-S)方程的有效性。选择雷诺数分别为100、400和1000的三维盖子驱动腔流动问题作为测试案例,以验证LMQDQ方法。给出了沿垂直和水平中心线的计算速度曲线,并将其与文献中的可用数据进行比较。

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