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Locations of the vortex centres for two-sided lid-driven square cavity flow. The letters LPV, RPV, LSV and RSV denote Left Primary Vortex, Right Primary Vortex, Left Secondary Vortex and Right Secondary Vortex respectively. Table 1

Table 1 Locations of the vortex centres for two-sided lid-driven square cavity flow. The letters LPV, RPV, LSV and RSV denote Left Primary Vortex, Right Primary Vortex, Left Secondary Vortex and Right Secondary Vortex respectively. Table 1

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Fig. 1. Two-dimensional nine-velocity square lattice (D2Q9) model. where the lattice weights are given by wp = 4/9, wy_4 = 1/9 and ws_g = 1/36. The relaxation time which fixes the rate of approach to equilibrium is related to the viscosity by [15]
Fig. 1. Two-dimensional nine-velocity square lattice (D2Q9) model. where the lattice weights are given by wp = 4/9, wy_4 = 1/9 and ws_g = 1/36. The relaxation time which fixes the rate of approach to equilibrium is related to the viscosity by [15]
Fig. 2. Streamline pattern for the single-sided lid-driven cavity flow at Re = 1000.
Fig. 2. Streamline pattern for the single-sided lid-driven cavity flow at Re = 1000.
Fig. 3. Code validation: u—velocity along vertical centreline and v—velocity along horizontal centreline for single lid-driven square-cavity (Re = 1000).
Fig. 3. Code validation: u—velocity along vertical centreline and v—velocity along horizontal centreline for single lid-driven square-cavity (Re = 1000).
Locations of the vortex centres for two-sided square cavity flow at Re = 2000. Fig. 4. Geometry and boundary conditions of the two-sided lid-driven square cavity flow. Table 2
Locations of the vortex centres for two-sided square cavity flow at Re = 2000. Fig. 4. Geometry and boundary conditions of the two-sided lid-driven square cavity flow. Table 2
Fig. 5. Streamline pattern for two-sided lid-driven cavity flow at (a) Re = 100 (b) Re = 500 (c) Re = 1000 and (d) Re = 1071 ona 201 x 201 lattice.
Fig. 5. Streamline pattern for two-sided lid-driven cavity flow at (a) Re = 100 (b) Re = 500 (c) Re = 1000 and (d) Re = 1071 ona 201 x 201 lattice.
Locations of the vortex centres for four-sided lid-driven square cavity flow. The letters LPV, RPV, TPV and BPV denote Left Primary Vortex, Right Primar Vortex, Top Primary Vortex and Bottom Primary Vortex respectively. 4.4. Two-sided lid-driven rectangular cavity flow
Locations of the vortex centres for four-sided lid-driven square cavity flow. The letters LPV, RPV, TPV and BPV denote Left Primary Vortex, Right Primar Vortex, Top Primary Vortex and Bottom Primary Vortex respectively. 4.4. Two-sided lid-driven rectangular cavity flow
Fig. 6. Multiplicity of flow states for the two-sided non-facing lid-driven cavity flow at Re = 2000 on a 201 x 201 lattice. Shown are the streamline patterns of (a) symmetric solution, (b) asymmetric solution (1) and (c) asymmetric solution (2).
Fig. 6. Multiplicity of flow states for the two-sided non-facing lid-driven cavity flow at Re = 2000 on a 201 x 201 lattice. Shown are the streamline patterns of (a) symmetric solution, (b) asymmetric solution (1) and (c) asymmetric solution (2).
Fig. 7. Geometry and boundary conditions of the four-sided lid-driven square cavity flow
Fig. 7. Geometry and boundary conditions of the four-sided lid-driven square cavity flow
Fig. 8. Streamline patterns for the four-sided square cavity flow at (a) Re = 10(b) Re = 100 and (c) Re = 127 ona 161 x 161 lattice.
Fig. 8. Streamline patterns for the four-sided square cavity flow at (a) Re = 10(b) Re = 100 and (c) Re = 127 ona 161 x 161 lattice.
Fig. 9. Multiplicity of flow states for the four-sided square cavity flow at Re = 300 ona 161 x 161 lattice. Shown are the streamline patterns of (a) symmetric solution, (b) asymmetric solution (1) and (c) asymmetric solution (2).
Fig. 9. Multiplicity of flow states for the four-sided square cavity flow at Re = 300 ona 161 x 161 lattice. Shown are the streamline patterns of (a) symmetric solution, (b) asymmetric solution (1) and (c) asymmetric solution (2).
Fig. 10. Geometry and boundary conditions of the two-sided rectangular cavity flow.
Fig. 10. Geometry and boundary conditions of the two-sided rectangular cavity flow.
Fig. 11. Multiplicity of flow states for the two-sided rectangular cavity flow with parallel wall motion at Re = 600 (based on the shorter side) and aspect ratio of 0.875 on a 224 x 256 lattice. Shown are the streamline patterns of (a) symmetric solution, (b) weakly-stable asymmetric solution and (c) strongly-stable asymmetric solution.
Fig. 11. Multiplicity of flow states for the two-sided rectangular cavity flow with parallel wall motion at Re = 600 (based on the shorter side) and aspect ratio of 0.875 on a 224 x 256 lattice. Shown are the streamline patterns of (a) symmetric solution, (b) weakly-stable asymmetric solution and (c) strongly-stable asymmetric solution.
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