Numerical solutions of 2‐D steady incompressible flow in a driven skewed cavity

Abstract

The benchmark test case for non-orthogonal grid mesh, the "driven skewed cavity flow", first introduced by Demirdžiü et al. [5] for skew angles of

Performance of geometric multigrid method for coupled two-dimensional systems in CFD

“…The results for high Reynolds numbers (Re) can be seen in [27,32]. For moderate Reynolds numbers, many results are available in existing literature, obtained with various types of numerical procedures.…”

“…This problem is extensively used for testing and verification of numerical methods of computer codes for the Navier-Stokes equations [32] due to the simplicity of its configuration and geometry, even with discontinuities on two corners. The results for high Reynolds numbers (Re) can be seen in [27,32].…”

Numerical simulation of 2D lid‐driven cavity flow with CLEARER algorithm on extremely highly skewed grids at high Reynolds numbers

“…As there are no benchmark solutions for inclined driven cavity flow at high Reynolds number, the numerical results of the following two cases are compared with the benchmark solutions respectively: (1) Square driven cavity flow at Re = 15 000 [21], (2) Inclined driven cavity flow at = 15 and 165 • at Re = 1000 [22]. Owing to the complex flow pattern near the solid walls, the non-uniform grid 130×130 is adopted in the following computation, with the dense grid near the walls, as shown in Figure 2, where only the coarse grid system is shown for the convenience of display.…”

Workshops for learning in computational fluid mechanics

“…Driven cavities are an important source of benchmark [8] to validate the performance of numerical models with different geometries and Reynolds numbers that help to understand the flow patterns in lubrication, see figure 5. The moving wall induces a primary and several secondary vortices.…”