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Figure 1. The framework of T-PINN-LBM.
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Figure 2. Schematic diagram of square-cavity flow showing domain and boundary conditions.
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Figure 3. Mean absolute error for models using Xavier initialization and TRWI with different numbers of configuration points.
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Figure 4. At Re = 100: from left to right, these figures depict (a) the reference solution, the predicted solutions of (b) PINN, (c) PINN-LBM, and (d) T-PINN-LBM of the lid-driven cavity flow.
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Figure 5. At Re = 100: from left to right, these figures depict the absolute error between the predicted solutions of (a) PINN, (b) PINN-LBM, and (c) T-PINN-LBM and the reference solution of the lid-driven cavity flow.
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Figure 6. Comparison of the velocity slices of PINN, PINN-LBM and T-PINN-LBM with the reference solution at position (a) x = 0.5 and (b) y = 0.5.
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Figure 7. Visualization of the relative error comparison for the lid-driven cavity across different network structures and models.
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Figure 8. Solving for prediction errors in the lid-driven cavity flow with different Re.
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Figure 9. At Re = 500: comparison of predicted values of (a) the reference solution, (b) PINN, and (c) T-PINN-LBM.
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Figure 10. At Re = 1000: comparison of predicted values of (a) the reference solution, (b) PINN, and (c) T-PINN-LBM.
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Figure 11. At Re = 2500: comparison of predicted values of (a) the reference solution, (b) PINN, and (c) T-PINN-LBM.
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Figure 12. At Re = 4000: comparison of predicted values of (a) the reference solution, (b) PINN, and (c) T-PINN-LBM.
Figure
12 ,Table
2 个