Numerical solutions of 2‐D steady incompressible driven cavity flow at high Reynolds numbers

By Ercan Erturk, Thomas C. Corke, C. Gökçöl. arXiv.org, 2004

630 citations recorded by the source corpus.

Numerical calculations of the 2‐D steady incompressible driven cavity flow are presented. The Navier–Stokes equations in streamfunction and vorticity formulation are solved numerically using a fine uniform grid mesh of 601 × 601. The steady driven cavity flow solutions are computed for Re ⩽ 21 000 with a maximum absolute residuals of the governing equations that were less than 10−10. A new quaternary vortex at the bottom left corner and a new tertiary vortex at the top left corner of the cavity are observed in the flow field as the Reynolds number increases. Detailed results are presented and comparisons are made with benchmark solutions found in the literature. Copyright © 2005 John Wiley & Sons, Ltd.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/bfb7aeb89f47232f7e1e26fe249fd9f1151fe977

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In Computational Mechanics

Citations in the corpus

Discretizations in isogeometric analysis of Navier-Stokes flow (2011, neutral): “The general pattern of the stream function matches very well with the results of [20], [21] and [22].”
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs (2017, methodology): “In [6] they used a 601 × 601 = 361,201 node grid for Re = 21,000.”
Efficient augmented Lagrangian‐type preconditioning for the Oseen problem using Grad‐Div stabilization (2013, methodology): “Right: error in the minimum of the stream function (see [38]), dependent on the Grad-Div stabilization for two different meshes.”
CAN-PINN: A Fast Physics-Informed Neural Network Based on Coupled-Automatic-Numerical Differentiation Method (2021, background): “With increasing values of Re to 2500, additional eddies can be observed at top-left regions [61].”
Numerical solutions of 2-D steady incompressible flow over a backward-facing step, Part I: High Reynolds number solutions (2008, methodology): “[9], an exit boundary located very far away downstream of the step, non-reflecting boundary conditions at the exit boundary, an inlet boundary located very upstream of the step, a fine grid mesh and a convergence criteria that is close to machine accuracy.”