High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method

By U. Ghia, K. Ghia, C. Shin. 1982

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Citations in the corpus

A multidomain boundary element method for unsteady laminar flow using stream function-vorticity equations (2005, methodology): “[11] the second-order finite difference approximation is used”
The Meshless Local Petrov-Galerkin (MLPG) Method for Solving Incompressible Navier-Stokes Equations (2001, result): “In addition, Fig.34 and Fig.35 show the results for u-velocity along vertical line and v-velocity along horizontal line through geometric center of cavity, compared with the classical results by Ghia, Ghia, and Shin (1982) .”
A numerical method for large-eddy simulation in complex geometries (2004, methodology): “Table 1 Comparison of the grid used in the unstructured computations to the structured grid used by [6] in driven cavity simulations Unstructured Structured Nodes 10576 66049 Elements 30925 65536 Dmin 0.”
Numerical solutions of 2‐D steady incompressible driven cavity flow at high Reynolds numbers (2004, unknown): “[12] shown by symbols in Figures 7 and 8.”
Parallel simulation of wormhole propagation with the Darcy-Brinkman-Forchheimer framework (2015, methodology): “Both of the present results were compared with Ghia’s data in [49].”
A low order Galerkin finite element method for the Navier–Stokes equations of steady incompressible flow: a stabilization issue and iterative methods (2002, methodology): “For the easier comparison with results in [21] or [7] a selected (not equally distributed) streamfunction isolines are shown.”
Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder (2004, background): “In Reference [1], reference data for the vortices in a two-dimensional driven cavity problem are obtained in this way.”
Isogeometric Analysis and error estimates for high order partial differential equations in Fluid Dynamics (2014, methodology): “We recall that the results in [25] are obtained by means of a multigrid technique ([45]) applied to finite difference schemes (specifically, a second–order accurate central finite difference scheme for second order derivatives and a first–order accurate upwind difference scheme for the convective te”
Jacobian-free Newton-Krylov methods: a survey of approaches and applications (2004, background): “algorithm development and testing, with emphasis on standard test problems, such as the driven cavity [55] and the natural convection cavity [42].”
A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases (2012, background): “(a) velocity contours and streamlines, (b) temperature contours and heat flux, (c) U-velocity along the central vertical line, circles: NS solution [10], line: unified, (d) V-velocity along the central horizontal line, circles: NS solution [10], line: unified.”
FLUID MECHANICS IN THE DRIVEN CAVITY (2000, background): “All the results that are quoted in this section are from Ghia et al (1982); their results were obtained from a finite-difference form of the stream function-vorticity (w, x) formulation, using uniform cartesian grids.”