The effectiveness of different methods, schemes, algorithms, and approaches is of substantial challenging problems in numerical modeling of transport phenomena. In the present paper, a lid-driven cavity problem is modeled via two basically different approaches of spatial discretization: collocated and staggered. The non-dimensionalized governing equations are semi-discretized by using a finite volume approach. Then, the full discretization is performed in each of collocated and staggered grids, separately. Upwind and central difference schemes are implemented in order to discretize the convective and diffusion terms of equations, respectively. After mesh independency study, the performances of collocated and staggered grids in comparison with the reference benchmark are presented. Next, the effectiveness of the first and the second order upwind schemes are presented, as well as different coupling algorithms of SIMPLE, SIMPLEC, and SIMPLER. Finally, an overall comparison of the methods is provided and acceptable agreements with benchmark are attained.

中文翻译：

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应用于盖驱动腔流动的各种数值方法的比较：耦合算法，交错网格与并置网格以及FUDS与SUDS

在运输现象的数值建模中，不同方法，方案，算法和方法的有效性是一个充满挑战的问题。在本文中，通过两种基本不同的空间离散化方法对盖子驱动的空腔问题进行建模：并置和交错。通过使用有限体积方法对未量纲的控制方程进行半离散。然后，分别在每个并置和交错的网格中执行完全离散化。实施迎风和中心差分方案是为了分别离散方程的对流和扩散项。经过网格独立性研究，介绍了与参考基准相比并置和交错网格的性能。下一个，介绍了一阶和二阶迎风方案的有效性，以及SIMPLE，SIMPLEC和SIMPLER的不同耦合算法。最后，提供了方法的总体比较，并获得了可接受的基准测试协议。