Multiplicity of steady solutions in two-dimensional lid-driven cavity flows by lattice Boltzmann method

DOI10.1016/j.camwa.2010.03.053zbMath1225.76240OpenAlexW2014655622MaRDI QIDQ646040

D. Arumuga Perumal, Anoop K. Dass

Publication date: 11 November 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.03.053

zbMATH Keywords

lattice Boltzmann methodbounce-back boundary conditionD2Q9 modelfour-sided square cavitytwo-sided square cavity

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28)

Related Items (12)

Numerical solutions of steady flow in a three-sided lid-driven square cavity ⋮ Numerical analysis of fluid flow behaviour in four-sided square lid-driven cavity using the finite volume technique ⋮ A global particular solution meshless approach for the four-sided lid-driven cavity flow problem in the presence of magnetic fields ⋮ Numerical investigation of four-lid-driven cavity flow bifurcation using the multiple-relaxation-time lattice Boltzmann method ⋮ Use of an HOC scheme to determine the existence of multiple steady states in the antiparallel lid-driven flow in a two-sided square cavity ⋮ Error correction method for Navier-Stokes equations at high Reynolds numbers ⋮ Computation of fluid flow in double sided cross-shaped lid-driven cavities using lattice Boltzmann method ⋮ Non-Eulerian Newmark methods: a powerful tool for free-boundary continuum mechanics problems ⋮ Multiscale stabilized finite element computation of the non-Newtonian Casson fluid flowing in double lid-driven rectangular cavities ⋮ Numerical simulation of viscous flow over a square cylinder using lattice Boltzmann method ⋮ On the steady flow in a rectangular cavity at large Reynolds numbers: a numerical and analytical study ⋮ Mesoscopic methods in engineering and science

Cites Work

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• The 2D lid-driven cavity problem revisited
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• Three-dimensional centrifugal-flow instabilities in the lid-driven-cavity problem
• An extrapolation method for boundary conditions in lattice Boltzmann method
• Flow in two-sided lid-driven cavities: non-uniqueness, instabilities, and cellular structures
• Linear stability of rectangular cavity flows driven by anti-parallel motion of two facing walls
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• Multiplicity of steady two-dimensional flows in two-sided lid-driven cavities

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