Chaotic Lid-Driven Square Cavity Flows at Extreme Reynolds Numbers

  title={Chaotic Lid-Driven Square Cavity Flows at Extreme Reynolds Numbers},
  author={S. Garc{\'i}a},
  journal={Communications in Computational Physics},
  • S. García
  • Published 2014
  • Physics
  • Communications in Computational Physics
This paper investigates the chaotic lid-driven square cavity flows at extreme Reynolds numbers. Several observations have been made from this study. Firstly, at extreme Reynolds numbers two principles add at the genesis of tiny, loose counterclockwise- or clockwise-rotating eddies. One concerns the arousing of them owing to the influence of the clockwise- or counterclockwise currents nearby; the other, the arousing of counterclockwise-rotating eddies near attached to the moving (lid) top wall… Expand
2 Citations
Chaos in the lid-driven square cavity
  • S. García
  • Mathematics, Computer Science
  • Math. Comput. Simul.
  • 2017
An interesting dynamics still endures where the switching repeatedly reverses or where it stays put, the primary eddy rotating solely counterclockwise. Expand
Preconditioning analysis of nonuniform incremental unknowns method for two dimensional elliptic problems
Abstract For the linear system obtained by discretizing two dimensional elliptic boundary value problems on nonuniform meshes, the condition number of the coefficient matrix preconditioned byExpand


Aperiodic, chaotic lid-driven square cavity flows
  • S. García
  • Mathematics, Computer Science
  • Math. Comput. Simul.
  • 2011
Abstract: At any Reynolds number the temporal limit satisfies two principles. One concerns the arousing of tiny counterclockwise- or clockwise-rotating eddies attached to a rigid wall; the other, theExpand
This review pertains to the body of work dealing with internal recirculating flows generated by the motion of one or more of the containing walls. These flows are not only technologically important,Expand
Simulating high Reynolds number flow in two-dimensional lid-driven cavity by multi-relaxation-time lattice Boltzmann method
By coupling the non-equilibrium extrapolation scheme for boundary condition with the multi-relaxation-time lattice Boltzmann method, this paper finds that the stability of the multi-relaxation-timeExpand
Vortices and two-dimensional fluid motion
T he study of fluid motions is of obvious importance for a host of applications ranging in scale from the microscopic to the atmospheric. Since we live in a three-dimensional world, it may be lessExpand
The 2D lid-driven cavity problem revisited
Numerical simulations of the 2D lid-driven cavity flow are performed for a wide range of Reynolds numbers. Accurate benchmark results are provided for steady solutions as well as for periodicExpand
Numerical Solutions of 2-D Steady Incompressible Driven Cavity Flow at High Reynolds Numbers
Numerical calculations of the 2-D steady incompressible driven cavity flow are presented and comparisons are made with benchmark solutions found in the literature. Expand
The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number.
Numerical sensitivity analysis with respect to the Reynolds number can predict the critical Reynolds number at which the vortex shading begins to develop in the wake of the obstacle. Expand
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method inExpand
Incremental unknowns for solving the incompressible Navier—Stokes equations
Incremental unknowns, earlier designed for the long-term integration of dissipative evolutionary equations, are introduced here for the incompressible Navier–Stokes equations in primitive variablesExpand
An efficient scheme for solving steady incompressible Navier-Stokes equations
Abstract The steady incompressible Navier-Stokes equations in a 2D driven cavity are solved in primitive variables by means of the multigrid method. The pressure and the components of the velocityExpand