The present thesis is devoted to the modeling of fluvial deltas, using both experimental and computational means. Attention is focused on idealized deltas developing over a rigid basement, downstream of a point source of sand. The water is supplied as a wide sheet of rapidly flowing water plunging into a wedge of standing water. This configuration ensures that the outer boundary of the sand deposit evolves freely over its entire perimeter during the gradual build-up of the delta. The observed deltas are highly two-dimensional in planform, adopting palmated structures which retain throughout their evolution a high degree of mirror symmetry. The delta deposit is surveyed during experiments by video imaging of a scanned laser sheet. Images are acquired above and below the standing water surface to capture both the topset and foreset topography. Two-dimensional shallow flow computations are performed to simulate the delta formation, using methods which are first validated against available one-dimensional analytical and experimental results.