  Exploding granules constitute the strongest horizontal flows on the quiet Sun
and contribute to the structure of the surface horizontal velocity fields which
build the large-scale organization of the discrete magnetic field. In this work
we explore exploding granule expansion through the observations of the
ground-based THEMIS telescope, IRIS, SDO, and the Hinode space-borne
instruments, and finally with the magnetohydrodynamics simulation. We evaluate
the detection and the expansion of exploding granules at several wavelengths
and at various spatial and temporal resolutions. To analyze the different
temporal sequences, two methods of image segmentation are applied to select the
granules. The first allows us to follow individually the exploding granules
observed simultaneously by THEMIS, IRIS, and SDO. The second uses long time
independent sequences from THEMIS, IRIS, SDO, Hinode, and a simulation. In the
first method (called manual) the segmentation isolates the cell of the granules
(bright granules and intergranular parts), while in the second method (called
statistical) only the bright part of the granules are isolated. The results
obtained with simultaneous or distinct temporal observations using the two
methods of segmentation are in good agreement. The granule area evolves
linearly with an expansion velocity that decreases with the radius. A rapid
decrease in the velocity expansion in the first two minutes is observed. The
detection and measurement of the dynamics of the explosive granules can be
performed from ground- and space-based instruments. Our work reveals the
usefulness of SDO data, with low spatial resolution, to study the dynamics of
the exploding granules all over the solar surface
