In this study, the friction stir welding between AA5083 and AA7075 is modeled using numerical methods, and the role of parameters affecting the process, such as welding speed and rotation speed on material flow, temperature, and strain, is studied. The temperature, strain, and material mixing were analyzed while welding AA7075 to AA5083 alloys using a Coupled Eulerian-Lagrangian (CEL) approach. It was discovered that the CEL approach had accurately anticipated the mixing of materials in the stir zone (SZ) by comparing the SZ of the samples fabricated experimentally and modeled by simulation. Results show that the temperature and strain increase dramatically as the rotation speed increases from 500 to 900 rev/min. The material flow obtained from the simulation shows that with increasing rotational speed or decreasing welding speed, AA7075 is more stretched towards AA5083 in the sheet's higher surfaces, indicating an increase in material flow intensity. Better material mixing and increased material flow allowed for the achievement of the maximum tensile strength at the welding and rotation speeds of 36 mm/min and 900 rev/min.