Newton linearization of the Navier–Stokes equations for flow computations using a fully coupled finite volume method

Improved implicit potential method for incompressible flows on a fully collocated mesh

“…Despite its simple geometry, the lid‐driven cavity flow problem retains rich fluid flow physics manifested by multiple recirculation regions in the middle and in the corners of the cavity (denoted as vortices $$$ {V}_0,\kern0.3em {V}_1,\kern0.3em {V}_2,\kern0.3em {V}_3 $$$, and $$$ {V}_4 $$$ in Figure 6), depending on the magnitude of the Reynolds number. This particular problem has been studied by numerous researchers over the years, and a variety of different approaches have been employed 43‐48 . In the present article, the work of Ghia et al 43 will be used as a benchmark for the velocity profiles and the streamline plots, while the produced pressure field will be compared with the results of Hou et al 44 and Botella and Peyret 45 …”

“…This particular problem has been studied by numerous researchers over the years, and a variety of different approaches have been employed. [43][44][45][46][47][48] In the present article, the work of Ghia et al 43 will be used as a benchmark for the velocity profiles and the streamline plots, while the produced pressure field will be compared with the results of Hou et al 44 and Botella and Peyret. 45 The square cavity initially contains idle fluid, while the upper surface of the fluid has a constant horizontal velocity.…”