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Fig 1.

Schematic diagram of flip-chip boundary conditions.

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Fig 1 Expand

Fig 2.

Underfilling Process Flow.

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Fig 2 Expand

Fig 3.

Experimental setup of BGA.

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Table 1.

Weighting functions for D3Q19.

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Table 1 Expand

Fig 4.

3D Lattice arrangements for D3Q19.

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Fig 5.

Solder bump arrangement dimension on simulation model (Full orientation).

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Fig 5 Expand

Table 2.

Solder bump counts in different solder bump arrangements/ orientations.

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Table 2 Expand

Fig 6.

LBM boundary conditions setup for periodic and bounce back conditions (①—Periodic boundary conditions, ②—Wall boundary conditions).

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Fig 6 Expand

Table 3.

EMC encapsulant material properties.

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Table 3 Expand

Fig 7.

Capillary between two parallel plates: (a) The schematic diagram and (b) free body diagram.

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Fig 7 Expand

Fig 8.

Real world WLCSP package [28] and its simulation model.

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Fig 9.

Comparison between simulation and experiment (Orientation—perimeter).

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Fig 10.

Comparison between simulation and experiment (Orientation—middle empty).

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Fig 11.

Comparison between simulation and experiment (Orientation—full).

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Fig 12.

Graph of comparison of simulation and experiment for all orientations.

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Table 4.

Data from comparison between simulation and experiment (perimeter, middle empty and full).

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Table 4 Expand

Fig 13.

Width of ball grid array (BGA) surface (19 portions).

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Fig 14.

Comparison between simulation and experiment by filling time (perimeter).

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Fig 15.

Comparison between simulation and experiment by filling time (middle empty).

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Fig 15 Expand

Fig 16.

Comparison between simulation and experiment by filling time (full).

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Table 5.

Flow front fraction comparison between simulation and experiment at different filling time.

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Fig 17.

Pressure distribution of fluid flow (Orientation-perimeter).

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Fig 18.

Pressure distribution of fluid flow (Orientation-middle empty).

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Fig 19.

Pressure distribution of fluid flow (Orientation-full).

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Fig 20.

Position of Probe location in the simulation.

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Fig 21.

Graph of pressure over time (full) from simulation data.

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Fig 22.

Graph of pressure versus time (middle empty) from simulation data.

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Fig 23.

Graph of pressure versus time (perimeter) from simulation data.

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Fig 24.

Velocity distribution of fluid flow (Orientation-perimeter).

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Fig 25.

Velocity distribution of fluid flow (Orientation-middle empty).

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Fig 26.

Velocity distribution of fluid flow (Orientation-full).

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Fig 27.

Percentage of volume of fraction (VOF) contour at different filling time for full orientation [37].

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